{"id":"https://openalex.org/W1593162480","doi":"https://doi.org/10.1007/978-3-540-85363-3_5","title":"Improved Approximation Guarantees through Higher Levels of SDP Hierarchies","display_name":"Improved Approximation Guarantees through Higher Levels of SDP Hierarchies","publication_year":2008,"publication_date":"2008-08-27","ids":{"openalex":"https://openalex.org/W1593162480","doi":"https://doi.org/10.1007/978-3-540-85363-3_5","mag":"1593162480"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-85363-3_5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-85363-3_5","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5043851880","display_name":"Eden Chlamt\u00e1\u010d","orcid":"https://orcid.org/0000-0002-0296-0107"},"institutions":[{"id":"https://openalex.org/I20089843","display_name":"Princeton University","ror":"https://ror.org/00hx57361","country_code":"US","type":"education","lineage":["https://openalex.org/I20089843"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Eden Chlamtac","raw_affiliation_strings":["Department of Computer Science, Princeton University, Princeton, NJ 08544, USA","Department of Computer Science, Princeton University, Princeton, USA NJ 08544"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Princeton University, Princeton, NJ 08544, USA","institution_ids":["https://openalex.org/I20089843"]},{"raw_affiliation_string":"Department of Computer Science, Princeton University, Princeton, USA NJ 08544","institution_ids":["https://openalex.org/I20089843"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5065273960","display_name":"Gyanit Singh","orcid":null},"institutions":[{"id":"https://openalex.org/I201448701","display_name":"University of Washington","ror":"https://ror.org/00cvxb145","country_code":"US","type":"education","lineage":["https://openalex.org/I201448701"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Gyanit Singh","raw_affiliation_strings":["Departmen of Computer Science & Engineering, University of Washington, Box 352350, Seattle, WA 98195-2350, USA","Departmen of Computer Science & Engineering, University of Washington, Seattle, USA WA 98195-2350"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departmen of Computer Science & Engineering, University of Washington, Box 352350, Seattle, WA 98195-2350, USA","institution_ids":["https://openalex.org/I201448701"]},{"raw_affiliation_string":"Departmen of Computer Science & Engineering, University of Washington, Seattle, USA WA 98195-2350","institution_ids":["https://openalex.org/I201448701"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":7.6823,"has_fulltext":false,"cited_by_count":54,"citation_normalized_percentile":{"value":0.98058045,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"49","last_page":"62"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9994999766349792,"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":0.9994999766349792,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.996999979019165,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12072","display_name":"Machine Learning and Algorithms","score":0.9941999912261963,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/hypergraph","display_name":"Hypergraph","score":0.8729086518287659},{"id":"https://openalex.org/keywords/semidefinite-programming","display_name":"Semidefinite programming","score":0.7454901337623596},{"id":"https://openalex.org/keywords/hierarchy","display_name":"Hierarchy","score":0.6884698271751404},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.6719500422477722},{"id":"https://openalex.org/keywords/omega","display_name":"Omega","score":0.5563552975654602},{"id":"https://openalex.org/keywords/independent-set","display_name":"Independent set","score":0.546129047870636},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5359495282173157},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5030233263969421},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4883729815483093},{"id":"https://openalex.org/keywords/vertex-cover","display_name":"Vertex cover","score":0.44173768162727356},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.41012465953826904},{"id":"https://openalex.org/keywords/approximation-algorithm","display_name":"Approximation algorithm","score":0.3810596466064453},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.35034453868865967},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.33413225412368774},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.2998298406600952},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.1958833932876587}],"concepts":[{"id":"https://openalex.org/C2781221856","wikidata":"https://www.wikidata.org/wiki/Q840247","display_name":"Hypergraph","level":2,"score":0.8729086518287659},{"id":"https://openalex.org/C101901036","wikidata":"https://www.wikidata.org/wiki/Q2269096","display_name":"Semidefinite programming","level":2,"score":0.7454901337623596},{"id":"https://openalex.org/C31170391","wikidata":"https://www.wikidata.org/wiki/Q188619","display_name":"Hierarchy","level":2,"score":0.6884698271751404},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.6719500422477722},{"id":"https://openalex.org/C2779557605","wikidata":"https://www.wikidata.org/wiki/Q9890","display_name":"Omega","level":2,"score":0.5563552975654602},{"id":"https://openalex.org/C122818955","wikidata":"https://www.wikidata.org/wiki/Q1060343","display_name":"Independent set","level":3,"score":0.546129047870636},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5359495282173157},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5030233263969421},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4883729815483093},{"id":"https://openalex.org/C40687702","wikidata":"https://www.wikidata.org/wiki/Q11515519","display_name":"Vertex cover","level":3,"score":0.44173768162727356},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.41012465953826904},{"id":"https://openalex.org/C148764684","wikidata":"https://www.wikidata.org/wiki/Q621751","display_name":"Approximation algorithm","level":2,"score":0.3810596466064453},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.35034453868865967},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.33413225412368774},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2998298406600952},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.1958833932876587},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C34447519","wikidata":"https://www.wikidata.org/wiki/Q179522","display_name":"Market economy","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-540-85363-3_5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-85363-3_5","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W1587123489","https://openalex.org/W1607580485","https://openalex.org/W1967821609","https://openalex.org/W1972894929","https://openalex.org/W1985123706","https://openalex.org/W1987579904","https://openalex.org/W1999032440","https://openalex.org/W2020632401","https://openalex.org/W2043963325","https://openalex.org/W2049143039","https://openalex.org/W2059187303","https://openalex.org/W2069816168","https://openalex.org/W2074891431","https://openalex.org/W2076535438","https://openalex.org/W2077397558","https://openalex.org/W2083449425","https://openalex.org/W2083858754","https://openalex.org/W2083896132","https://openalex.org/W2087038607","https://openalex.org/W2099022556","https://openalex.org/W2106264302","https://openalex.org/W2110871651","https://openalex.org/W2114650657","https://openalex.org/W2116926584","https://openalex.org/W2120358419","https://openalex.org/W2137373403","https://openalex.org/W2138792657","https://openalex.org/W2156792066","https://openalex.org/W2162898372","https://openalex.org/W2165732281","https://openalex.org/W2751862591","https://openalex.org/W4250613930","https://openalex.org/W4301441647"],"related_works":["https://openalex.org/W2100782222","https://openalex.org/W2115404728","https://openalex.org/W2056597184","https://openalex.org/W2359923140","https://openalex.org/W1712180277","https://openalex.org/W1608414128","https://openalex.org/W2023546589","https://openalex.org/W2029933769","https://openalex.org/W2551034790","https://openalex.org/W3184115741"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2019,"cited_by_count":3},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":5},{"year":2012,"cited_by_count":10}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}