{"id":"https://openalex.org/W2747887398","doi":"https://doi.org/10.1007/s00453-018-0512-8","title":"New Tools and Connections for Exponential-Time Approximation","display_name":"New Tools and Connections for Exponential-Time Approximation","publication_year":2018,"publication_date":"2018-09-05","ids":{"openalex":"https://openalex.org/W2747887398","doi":"https://doi.org/10.1007/s00453-018-0512-8","mag":"2747887398","pmid":"https://pubmed.ncbi.nlm.nih.gov/31496549"},"language":"en","primary_location":{"id":"doi:10.1007/s00453-018-0512-8","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00453-018-0512-8","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00453-018-0512-8.pdf","source":{"id":"https://openalex.org/S89324355","display_name":"Algorithmica","issn_l":"0178-4617","issn":["0178-4617","1432-0541"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithmica","raw_type":"journal-article"},"type":"preprint","indexed_in":["crossref","datacite","pubmed"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s00453-018-0512-8.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5008689083","display_name":"Nikhil Bansal","orcid":"https://orcid.org/0000-0002-6290-0894"},"institutions":[{"id":"https://openalex.org/I2799411422","display_name":"Center for Discrete Mathematics and Theoretical Computer Science","ror":"https://ror.org/00k551w06","country_code":"US","type":"facility","lineage":["https://openalex.org/I102322142","https://openalex.org/I118347220","https://openalex.org/I1283103587","https://openalex.org/I1311060795","https://openalex.org/I20089843","https://openalex.org/I2799411422","https://openalex.org/I4210107353"]},{"id":"https://openalex.org/I83019370","display_name":"Eindhoven University of Technology","ror":"https://ror.org/02c2kyt77","country_code":"NL","type":"education","lineage":["https://openalex.org/I83019370"]}],"countries":["NL","US"],"is_corresponding":true,"raw_author_name":"Nikhil Bansal","raw_affiliation_strings":["1Eindhoven University of Technology, Eindhoven, The Netherlands","Discrete Mathematics"],"affiliations":[{"raw_affiliation_string":"1Eindhoven University of Technology, Eindhoven, The Netherlands","institution_ids":["https://openalex.org/I83019370"]},{"raw_affiliation_string":"Discrete Mathematics","institution_ids":["https://openalex.org/I2799411422"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5016828567","display_name":"Parinya Chalermsook","orcid":"https://orcid.org/0009-0000-2833-0472"},"institutions":[{"id":"https://openalex.org/I9927081","display_name":"Aalto University","ror":"https://ror.org/020hwjq30","country_code":"FI","type":"education","lineage":["https://openalex.org/I9927081"]}],"countries":["FI"],"is_corresponding":false,"raw_author_name":"Parinya Chalermsook","raw_affiliation_strings":["2Aalto University, Helsinki, Finland","Aalto Univ"],"affiliations":[{"raw_affiliation_string":"2Aalto University, Helsinki, Finland","institution_ids":["https://openalex.org/I9927081"]},{"raw_affiliation_string":"Aalto Univ","institution_ids":["https://openalex.org/I9927081"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5005632876","display_name":"Bundit Laekhanukit","orcid":"https://orcid.org/0000-0002-4476-8914"},"institutions":[{"id":"https://openalex.org/I181679659","display_name":"Shanghai University of Finance and Economics","ror":"https://ror.org/00wtvfq62","country_code":"CN","type":"education","lineage":["https://openalex.org/I181679659"]},{"id":"https://openalex.org/I53964585","display_name":"Weizmann Institute of Science","ror":"https://ror.org/0316ej306","country_code":"IL","type":"education","lineage":["https://openalex.org/I53964585"]}],"countries":["CN","IL"],"is_corresponding":false,"raw_author_name":"Bundit Laekhanukit","raw_affiliation_strings":["3Shanghai University of Finance and Economics, Shanghai, China","#N##TAB##TAB##TAB##TAB# Weizmann Institute of Science, Israel#N##TAB##TAB##TAB#"],"affiliations":[{"raw_affiliation_string":"3Shanghai University of Finance and Economics, Shanghai, China","institution_ids":["https://openalex.org/I181679659"]},{"raw_affiliation_string":"#N##TAB##TAB##TAB##TAB# Weizmann Institute of Science, Israel#N##TAB##TAB##TAB#","institution_ids":["https://openalex.org/I53964585"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074369690","display_name":"Danupon Nanongkai","orcid":"https://orcid.org/0000-0003-4468-2675"},"institutions":[{"id":"https://openalex.org/I86987016","display_name":"KTH Royal Institute of Technology","ror":"https://ror.org/026vcq606","country_code":"SE","type":"education","lineage":["https://openalex.org/I86987016"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Danupon Nanongkai","raw_affiliation_strings":["4KTH, Royal Institute of Technology, Stockholm, Sweden","Royal Institute of Technology"],"affiliations":[{"raw_affiliation_string":"4KTH, Royal Institute of Technology, Stockholm, Sweden","institution_ids":["https://openalex.org/I86987016"]},{"raw_affiliation_string":"Royal Institute of Technology","institution_ids":["https://openalex.org/I86987016"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5068357631","display_name":"Jesper Nederlof","orcid":"https://orcid.org/0000-0003-1848-0076"},"institutions":[{"id":"https://openalex.org/I2799411422","display_name":"Center for Discrete Mathematics and Theoretical Computer Science","ror":"https://ror.org/00k551w06","country_code":"US","type":"facility","lineage":["https://openalex.org/I102322142","https://openalex.org/I118347220","https://openalex.org/I1283103587","https://openalex.org/I1311060795","https://openalex.org/I20089843","https://openalex.org/I2799411422","https://openalex.org/I4210107353"]},{"id":"https://openalex.org/I83019370","display_name":"Eindhoven University of Technology","ror":"https://ror.org/02c2kyt77","country_code":"NL","type":"education","lineage":["https://openalex.org/I83019370"]}],"countries":["NL","US"],"is_corresponding":false,"raw_author_name":"Jesper Nederlof","raw_affiliation_strings":["1Eindhoven University of Technology, Eindhoven, The Netherlands","Discrete Mathematics"],"affiliations":[{"raw_affiliation_string":"1Eindhoven University of Technology, Eindhoven, The Netherlands","institution_ids":["https://openalex.org/I83019370"]},{"raw_affiliation_string":"Discrete Mathematics","institution_ids":["https://openalex.org/I2799411422"]}]}],"institutions":[],"countries_distinct_count":6,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5008689083"],"corresponding_institution_ids":["https://openalex.org/I2799411422","https://openalex.org/I83019370"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":{"value":2290,"currency":"EUR","value_usd":2890},"fwci":0.6412,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.69664309,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"81","issue":"10","first_page":"3993","last_page":"4009"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9979000091552734,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7381308078765869},{"id":"https://openalex.org/keywords/omega","display_name":"Omega","score":0.6449899673461914},{"id":"https://openalex.org/keywords/approximation-algorithm","display_name":"Approximation algorithm","score":0.619577169418335},{"id":"https://openalex.org/keywords/hypergraph","display_name":"Hypergraph","score":0.6143878698348999},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5796034932136536},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5691589117050171},{"id":"https://openalex.org/keywords/binary-logarithm","display_name":"Binary logarithm","score":0.5548139214515686},{"id":"https://openalex.org/keywords/vertex-cover","display_name":"Vertex cover","score":0.5338999032974243},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.5210437178611755},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.4653525948524475},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.4587564468383789},{"id":"https://openalex.org/keywords/exponential-time-hypothesis","display_name":"Exponential time hypothesis","score":0.4421800971031189},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.41571077704429626},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.35686352849006653},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.33880311250686646},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.21602073311805725},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1069989800453186}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7381308078765869},{"id":"https://openalex.org/C2779557605","wikidata":"https://www.wikidata.org/wiki/Q9890","display_name":"Omega","level":2,"score":0.6449899673461914},{"id":"https://openalex.org/C148764684","wikidata":"https://www.wikidata.org/wiki/Q621751","display_name":"Approximation algorithm","level":2,"score":0.619577169418335},{"id":"https://openalex.org/C2781221856","wikidata":"https://www.wikidata.org/wiki/Q840247","display_name":"Hypergraph","level":2,"score":0.6143878698348999},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5796034932136536},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5691589117050171},{"id":"https://openalex.org/C63553672","wikidata":"https://www.wikidata.org/wiki/Q581168","display_name":"Binary logarithm","level":2,"score":0.5548139214515686},{"id":"https://openalex.org/C40687702","wikidata":"https://www.wikidata.org/wiki/Q11515519","display_name":"Vertex cover","level":3,"score":0.5338999032974243},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.5210437178611755},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.4653525948524475},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4587564468383789},{"id":"https://openalex.org/C71017364","wikidata":"https://www.wikidata.org/wiki/Q5421532","display_name":"Exponential time hypothesis","level":3,"score":0.4421800971031189},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.41571077704429626},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.35686352849006653},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.33880311250686646},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.21602073311805725},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1069989800453186},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":18,"locations":[{"id":"doi:10.1007/s00453-018-0512-8","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00453-018-0512-8","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00453-018-0512-8.pdf","source":{"id":"https://openalex.org/S89324355","display_name":"Algorithmica","issn_l":"0178-4617","issn":["0178-4617","1432-0541"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithmica","raw_type":"journal-article"},{"id":"pmid:31496549","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/31496549","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithmica","raw_type":null},{"id":"pmh:oai:pure.tue.nl:openaire/1cb7e398-e07c-42c8-968c-8effc7d0f940","is_oa":true,"landing_page_url":"https://research.tue.nl/en/publications/1cb7e398-e07c-42c8-968c-8effc7d0f940","pdf_url":null,"source":{"id":"https://openalex.org/S4406922641","display_name":"TU/e Research Portal","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Bansal, N, Chalermsook, P, Laekhanukit, B, Nanongkai, D & Nederlof, J 2019, 'New tools and connections for exponential-time approximation', Algorithmica, vol. 81, no. 10, pp. 3993-4009. https://doi.org/10.1007/s00453-018-0512-8","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:cwi.nl:29303","is_oa":true,"landing_page_url":"https://ir.cwi.nl/pub/29303","pdf_url":"https://ir.cwi.nl/pub/29303/29303.pdf","source":{"id":"https://openalex.org/S7407055335","display_name":"Centrum Wiskunde & Informatica (CWI), the national research institute for mathematics and computer science in the Netherlands","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Algorithmica vol. 81 no. 10, pp. 3993-4009","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:tue:oai:pure.tue.nl:publications/ccc0c4b5-a688-4711-bf14-ea1fe7db7d16","is_oa":true,"landing_page_url":"https://research.tue.nl/nl/publications/ccc0c4b5-a688-4711-bf14-ea1fe7db7d16","pdf_url":"https://research.tue.nl/nl/publications/ccc0c4b5-a688-4711-bf14-ea1fe7db7d16","source":{"id":"https://openalex.org/S4306401843","display_name":"Data Archiving and Networked Services (DANS)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1322597698","host_organization_name":"Royal Netherlands Academy of Arts and Sciences","host_organization_lineage":["https://openalex.org/I1322597698"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv.org, e-Print Archive, Physics","raw_type":"info:eu-repo/semantics/article"},{"id":"mag:2747887398","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1708.03515.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:cwi:oai:cwi.nl:29381","is_oa":true,"landing_page_url":"https://ir.cwi.nl/pub/29381","pdf_url":null,"source":{"id":"https://openalex.org/S4306401843","display_name":"Data Archiving and Networked Services (DANS)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1322597698","host_organization_name":"Royal Netherlands Academy of Arts and Sciences","host_organization_lineage":["https://openalex.org/I1322597698"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/other"},{"id":"pmh:oai:aaltodoc.aalto.fi:123456789/35211","is_oa":true,"landing_page_url":"https://research.aalto.fi/en/publications/afbeba15-8053-4dd6-97a6-9ae8ed6076fd","pdf_url":null,"source":{"id":"https://openalex.org/S4306401663","display_name":"Aaltodoc (Aalto University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I9927081","host_organization_name":"Aalto University","host_organization_lineage":["https://openalex.org/I9927081"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"publishedVersion"},{"id":"pmh:oai:europepmc.org:5686767","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/6710224","pdf_url":null,"source":{"id":"https://openalex.org/S4306400806","display_name":"Europe PMC (PubMed Central)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1303153112","host_organization_name":"European Bioinformatics Institute","host_organization_lineage":["https://openalex.org/I1303153112"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Text"},{"id":"pmh:oai:library.tue.nl:903830","is_oa":false,"landing_page_url":"http://repository.tue.nl/903830","pdf_url":null,"source":{"id":"https://openalex.org/S4406923046","display_name":"TU/e Research Portal (Eindhoven University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSN:0178-4617","raw_type":"Article / Letter to the editor"},{"id":"pmh:oai:pure.tue.nl:openaire_cris_publications/ccc0c4b5-a688-4711-bf14-ea1fe7db7d16","is_oa":true,"landing_page_url":"https://research.tue.nl/en/publications/ccc0c4b5-a688-4711-bf14-ea1fe7db7d16","pdf_url":null,"source":{"id":"https://openalex.org/S4406922641","display_name":"TU/e Research Portal","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Bansal , N , Chalermsook , P , Laekhanukit , B , Nanongkai , D & Nederlof , J 2017 , ' New tools and connections for exponential-time approximation ' , arXiv .","raw_type":"article"},{"id":"pmh:oai:pure.tue.nl:publications/1cb7e398-e07c-42c8-968c-8effc7d0f940","is_oa":true,"landing_page_url":"http://www.scopus.com/inward/record.url?scp=85053412910&partnerID=8YFLogxK","pdf_url":null,"source":{"id":"https://openalex.org/S4406922641","display_name":"TU/e Research Portal","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Bansal, N, Chalermsook, P, Laekhanukit, B, Nanongkai, D & Nederlof, J 2019, 'New tools and connections for exponential-time approximation', Algorithmica, vol. 81, no. 10, pp. 3993-4009. https://doi.org/10.1007/s00453-018-0512-8","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:tue:oai:library.tue.nl:871435","is_oa":false,"landing_page_url":"http://repository.tue.nl/871435","pdf_url":null,"source":{"id":"https://openalex.org/S4306401843","display_name":"Data Archiving and Networked Services (DANS)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1322597698","host_organization_name":"Royal Netherlands Academy of Arts and Sciences","host_organization_lineage":["https://openalex.org/I1322597698"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv.org, e-Print Archive, Physics","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:tue:oai:library.tue.nl:877753","is_oa":false,"landing_page_url":"http://repository.tue.nl/877753","pdf_url":null,"source":{"id":"https://openalex.org/S4306401843","display_name":"Data Archiving and Networked Services (DANS)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1322597698","host_organization_name":"Royal Netherlands Academy of Arts and Sciences","host_organization_lineage":["https://openalex.org/I1322597698"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv.org, e-Print Archive, Physics","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:tue:oai:pure.tue.nl:publications/1cb7e398-e07c-42c8-968c-8effc7d0f940","is_oa":true,"landing_page_url":"https://research.tue.nl/nl/publications/1cb7e398-e07c-42c8-968c-8effc7d0f940","pdf_url":null,"source":{"id":"https://openalex.org/S4306401843","display_name":"Data Archiving and Networked Services (DANS)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1322597698","host_organization_name":"Royal Netherlands Academy of Arts and Sciences","host_organization_lineage":["https://openalex.org/I1322597698"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Algorithmica, 81(10), 3993 - 4009. Springer","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:tue:oai:pure.tue.nl:publications/abbbd9a7-a004-4138-8035-fdc2dd045be9","is_oa":true,"landing_page_url":"https://research.tue.nl/nl/publications/abbbd9a7-a004-4138-8035-fdc2dd045be9","pdf_url":null,"source":{"id":"https://openalex.org/S4306401843","display_name":"Data Archiving and Networked Services (DANS)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1322597698","host_organization_name":"Royal Netherlands Academy of Arts and Sciences","host_organization_lineage":["https://openalex.org/I1322597698"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Algorithmica, 81(10), 3993 - 4009. Springer","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:uu:oai:dspace.library.uu.nl:1874/423645","is_oa":true,"landing_page_url":"https://dspace.library.uu.nl/handle/1874/423645","pdf_url":null,"source":{"id":"https://openalex.org/S4306401843","display_name":"Data Archiving and Networked Services (DANS)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1322597698","host_organization_name":"Royal Netherlands Academy of Arts and Sciences","host_organization_lineage":["https://openalex.org/I1322597698"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/other"},{"id":"doi:10.48550/arxiv.1708.03515","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1708.03515","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"doi:10.1007/s00453-018-0512-8","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00453-018-0512-8","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00453-018-0512-8.pdf","source":{"id":"https://openalex.org/S89324355","display_name":"Algorithmica","issn_l":"0178-4617","issn":["0178-4617","1432-0541"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithmica","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1664046972","display_name":null,"funder_award_id":"639.022.211","funder_id":"https://openalex.org/F4320321800","funder_display_name":"Nederlandse Organisatie voor Wetenschappelijk Onderzoek"},{"id":"https://openalex.org/G1699706384","display_name":null,"funder_award_id":"I-CORE","funder_id":"https://openalex.org/F4320322252","funder_display_name":"Israel Science Foundation"},{"id":"https://openalex.org/G1836977259","display_name":"Distributed and Dynamic Graph Algorithms and Complexity","funder_award_id":"715672","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G1981933775","display_name":null,"funder_award_id":"2015-04659","funder_id":"https://openalex.org/F4320322581","funder_display_name":"Vetenskapsr\u00e5det"},{"id":"https://openalex.org/G2275010174","display_name":null,"funder_award_id":"639.021.438","funder_id":"https://openalex.org/F4320321800","funder_display_name":"Nederlandse Organisatie voor Wetenschappelijk Onderzoek"},{"id":"https://openalex.org/G3270004658","display_name":"Algorithms for coping with uncertainty and intractability","funder_award_id":"617951","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G3486575691","display_name":"Novel Algorithmic Techniques through the Lens of Combinatorics","funder_award_id":"759557","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G4304470407","display_name":null,"funder_award_id":"621/12","funder_id":"https://openalex.org/F4320322252","funder_display_name":"Israel Science Foundation"},{"id":"https://openalex.org/G4623480208","display_name":null,"funder_award_id":"NWO Vidi","funder_id":"https://openalex.org/F4320321800","funder_display_name":"Nederlandse Organisatie voor Wetenschappelijk Onderzoek"},{"id":"https://openalex.org/G4842944547","display_name":null,"funder_award_id":"715672","funder_id":"https://openalex.org/F4320334678","funder_display_name":"European Research Council"},{"id":"https://openalex.org/G4956428346","display_name":null,"funder_award_id":"Horizon 2020 research and innovatio","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G5365867299","display_name":null,"funder_award_id":"Grant","funder_id":"https://openalex.org/F4320321800","funder_display_name":"Nederlandse Organisatie voor Wetenschappelijk Onderzoek"},{"id":"https://openalex.org/G6009445997","display_name":null,"funder_award_id":"unknown","funder_id":"https://openalex.org/F4320321800","funder_display_name":"Nederlandse Organisatie voor Wetenschappelijk Onderzoek"},{"id":"https://openalex.org/G628422989","display_name":null,"funder_award_id":"617951","funder_id":"https://openalex.org/F4320334678","funder_display_name":"European Research Council"},{"id":"https://openalex.org/G7315415636","display_name":null,"funder_award_id":"Grant","funder_id":"https://openalex.org/F4320322252","funder_display_name":"Israel Science Foundation"},{"id":"https://openalex.org/G7842005466","display_name":null,"funder_award_id":"Horizon 2020","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G8051717526","display_name":null,"funder_award_id":"Grant","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G8080935424","display_name":null,"funder_award_id":"unknown","funder_id":"https://openalex.org/F4320322581","funder_display_name":"Vetenskapsr\u00e5det"},{"id":"https://openalex.org/G8318064016","display_name":null,"funder_award_id":"Horizon","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"}],"funders":[{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320321800","display_name":"Nederlandse Organisatie voor Wetenschappelijk Onderzoek","ror":"https://ror.org/04jsz6e67"},{"id":"https://openalex.org/F4320322252","display_name":"Israel Science Foundation","ror":"https://ror.org/04sazxf24"},{"id":"https://openalex.org/F4320322581","display_name":"Vetenskapsr\u00e5det","ror":"https://ror.org/03zttf063"},{"id":"https://openalex.org/F4320334678","display_name":"European Research Council","ror":"https://ror.org/0472cxd90"},{"id":"https://openalex.org/F4320335016","display_name":"Israeli Centers for Research Excellence","ror":"https://ror.org/03w2v9593"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2747887398.pdf","grobid_xml":"https://content.openalex.org/works/W2747887398.grobid-xml"},"referenced_works_count":31,"referenced_works":["https://openalex.org/W1483324665","https://openalex.org/W1501644705","https://openalex.org/W1575996043","https://openalex.org/W1965171369","https://openalex.org/W1971749164","https://openalex.org/W1985694287","https://openalex.org/W1995725694","https://openalex.org/W2012700732","https://openalex.org/W2034163095","https://openalex.org/W2058422149","https://openalex.org/W2074359677","https://openalex.org/W2074465184","https://openalex.org/W2076595213","https://openalex.org/W2086653003","https://openalex.org/W2091921997","https://openalex.org/W2092239832","https://openalex.org/W2111385661","https://openalex.org/W2122997342","https://openalex.org/W2137118456","https://openalex.org/W2153413398","https://openalex.org/W2154276597","https://openalex.org/W2156760067","https://openalex.org/W2159892713","https://openalex.org/W2162561603","https://openalex.org/W2295669206","https://openalex.org/W2514739098","https://openalex.org/W2625656873","https://openalex.org/W2963359459","https://openalex.org/W2963439929","https://openalex.org/W4249548335","https://openalex.org/W6810406781"],"related_works":["https://openalex.org/W3123868149","https://openalex.org/W2886629687","https://openalex.org/W2996901643","https://openalex.org/W2238018701","https://openalex.org/W2314909417","https://openalex.org/W2914195715","https://openalex.org/W3036033298","https://openalex.org/W844866297","https://openalex.org/W3101386124","https://openalex.org/W2400147993","https://openalex.org/W2964120731","https://openalex.org/W2058699929","https://openalex.org/W3198827142","https://openalex.org/W2964642894","https://openalex.org/W2590927133","https://openalex.org/W2951844571","https://openalex.org/W2884931243","https://openalex.org/W2949444750","https://openalex.org/W2952007101","https://openalex.org/W3118917224"],"abstract_inverted_index":{"In":[0,13],"this":[1,14],"paper,":[2],"we":[3,16,382,390],"develop":[4],"new":[5,385],"tools":[6],"and":[7,22,31,152,197,209,262,397,451,458],"connections":[8],"for":[9,56,88,127,162,222,346,373],"<i>exponential":[10],"time":[11,220],"approximation</i>.":[12],"setting,":[15],"are":[17,343],"given":[18],"a":[19,356,361,364,384,392,430],"problem":[20,362],"instance":[21],"an":[23,37,52],"integer":[24],"<mml:math":[25,61,92,118,132,153,168,193,198,203,226,270,329],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mrow><mml:mi>r</mml:mi>":[26],"<mml:mo>></mml:mo>":[27],"<mml:mn>1</mml:mn></mml:mrow>":[28],"</mml:math>":[29,86,116,126,150,161,190,196,201,208,238,291,341],",":[30],"the":[32,41,213,295,327,368,378,410,415,438],"goal":[33],"is":[34,355],"to":[35,352,363,412],"design":[36],"approximation":[38,53,253,371,399],"algorithm":[39,408],"with":[40,404],"fastest":[42],"possible":[43],"running":[44],"time.":[45,191],"We":[46],"give":[47],"randomized":[48],"algorithms":[49,372],"that":[50,326,359,429],"establish":[51],"ratio":[54],"of<i>r</i>":[55],"maximum":[57,259],"independent":[58,260,406],"set":[59,261,407],"in":[60,91,131,167,212,242,251,303,313,318,421,442,453],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">":[62,93,133,169,227,330],"<mml:mrow><mml:msup><mml:mi>O</mml:mi>":[63,94,134,170,228,331],"<mml:mo>\u2217</mml:mo></mml:msup>":[64,95,135,171,200,229,332],"<mml:mrow><mml:mo>(</mml:mo>":[65,67,70,96,98,101,136,138,172,174,230,333],"<mml:mo>exp</mml:mo>":[66,97,137,173],"<mml:mover><mml:mi>O</mml:mi>":[68,99],"<mml:mo>~</mml:mo></mml:mover>":[69,100,195],"<mml:mi>n</mml:mi>":[71,102,139,175],"<mml:mo>/</mml:mo>":[72,103,123,140,158,176,233,281,336],"<mml:mi>r</mml:mi>":[73,76,78,81,104,106,108,111,124,144,159,179,184,206],"<mml:msup><mml:mo>log</mml:mo>":[74,79,109],"<mml:mn>2</mml:mn></mml:msup>":[75,80,110],"<mml:mo>+</mml:mo>":[77,107,284],"<mml:mo>)</mml:mo></mml:mrow>":[82,83,84,112,113,114,125,145,147,148,160,180,185,187,188,207,236,279,288,290,339],"</mml:mrow>":[85,115,149,189,237,340],"time,<i>r</i>":[87],"chromatic":[89,263],"number":[90],"<mml:mo>log</mml:mo>":[105],"time,":[117,151],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mrow><mml:mo>(</mml:mo>":[119,154],"<mml:mn>2</mml:mn>":[120],"<mml:mo>-</mml:mo>":[121,156,275],"<mml:mn>1</mml:mn>":[122,157,278,287],"minimum":[128,163],"vertex":[129,165],"cover":[130,166],"<mml:msup><mml:mi>r</mml:mi>":[141,282],"<mml:mrow><mml:mi>\u03a9</mml:mi>":[142,181],"<mml:mo>(</mml:mo>":[143,182,205,272,277,286],"</mml:msup>":[146,186,235,280,289,338],"<mml:mi>k</mml:mi>":[155,178,183],"<i>k</i>-hypergraph":[164],"<mml:msup><mml:mrow><mml:mo>(</mml:mo>":[177],"(Throughout,":[192],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mover><mml:mi>O</mml:mi>":[194],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:msup><mml:mi>O</mml:mi>":[199],"omit":[202],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mrow><mml:mtext>polyloglog</mml:mtext>":[204],"factors":[210],"polynomial":[211],"input":[214],"size,":[215],"respectively.)":[216],"The":[217,350],"best":[218],"known":[219],"bounds":[221,266,293,342],"all":[223,347],"problems":[224,317],"were":[225,267],"<mml:msup><mml:mn>2</mml:mn>":[231,334],"<mml:mrow><mml:mi>n</mml:mi>":[232,335],"<mml:mi>r</mml:mi></mml:mrow>":[234,337],"(Bourgeois":[239],"et":[240,249,301],"al.":[241,250,302],"Discret":[243],"Appl":[244],"Math":[245],"159(17):1954-1970,":[246],"2011;":[247],"Cygan":[248],"Exponential-time":[252],"of":[254,305,315,370,417,460],"hard":[255],"problems,":[256],"2008).":[257],"For":[258],"number,":[264],"these":[265,348,353],"complemented":[268],"by":[269],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mrow><mml:mo>exp</mml:mo>":[271],"<mml:msup><mml:mi>n</mml:mi>":[273],"<mml:mrow><mml:mn>1</mml:mn>":[274,283],"<mml:mi>o</mml:mi>":[276,285],"lower":[292],"(under":[294],"Exponential":[296],"Time":[297],"Hypothesis":[298],"(ETH))":[299],"(Chalermsook":[300],"Foundations":[304],"computer":[306],"science,":[307],"FOCS,":[308],"pp.":[309],"370-379,":[310],"2013;":[311],"Laekhanukit":[312],"Inapproximability":[314],"combinatorial":[316],"subexponential-time.":[319],"Ph.D.":[320],"thesis,":[321],"2014).":[322],"Our":[323],"results":[324,354],"show":[325,391],"naturally-looking":[328],"not":[344],"tight":[345],"problems.":[349],"key":[351],"<i>sparsification</i>":[357],"procedure":[358],"reduces":[360],"bounded-degree":[365,374],"variant,":[366],"allowing":[367],"use":[369],"graphs.":[375],"To":[376],"obtain":[377],"first":[379],"two":[380],"results,":[381],"introduce":[383],"<i>randomized":[386],"branching":[387],"rule</i>.":[388],"Finally,":[389],"connection":[393,402],"between":[394],"PCP":[395,419],"parameters":[396],"exponential-time":[398],"algorithms.":[400],"This":[401],"together":[403],"our":[405,434],"refute":[409,437],"possibility":[411],"overly":[413],"reduce":[414],"size":[416],"Chan's":[418],"(Chan":[420],"J.":[422],"ACM":[423],"63(3):27:1-27:32,":[424],"2016).":[425,464],"It":[426],"also":[427],"implies":[428],"(significant)":[431],"improvement":[432],"over":[433],"result":[435],"will":[436],"gap-ETH":[439],"conjecture":[440],"(Dinur":[441],"Electron":[443],"Colloq":[444],"Comput":[445],"Complex":[446],"(ECCC)":[447],"23:128,":[448],"2016;":[449],"Manurangsi":[450],"Raghavendra":[452],"A":[454],"birthday":[455],"repetition":[456],"theorem":[457],"complexity":[459],"approximating":[461],"dense":[462],"CSPs,":[463]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2026-04-19T08:26:33.389920","created_date":"2025-10-10T00:00:00"}