{"id":"https://openalex.org/W3182693212","doi":"https://doi.org/10.1145/3450704","title":"Almost Tight Lower Bounds for Hard Cutting Problems in Embedded Graphs","display_name":"Almost Tight Lower Bounds for Hard Cutting Problems in Embedded Graphs","publication_year":2021,"publication_date":"2021-07-14","ids":{"openalex":"https://openalex.org/W3182693212","doi":"https://doi.org/10.1145/3450704","mag":"3182693212"},"language":"en","primary_location":{"id":"doi:10.1145/3450704","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3450704","pdf_url":null,"source":{"id":"https://openalex.org/S118992489","display_name":"Journal of the ACM","issn_l":"0004-5411","issn":["0004-5411","1557-735X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the ACM","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://eprints.sztaki.hu/9733/","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5074251728","display_name":"Vincent Cohen-Addad","orcid":"https://orcid.org/0000-0002-0779-8962"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I204730241","display_name":"Universit\u00e9 Paris Cit\u00e9","ror":"https://ror.org/05f82e368","country_code":"FR","type":"education","lineage":["https://openalex.org/I204730241"]},{"id":"https://openalex.org/I39804081","display_name":"Sorbonne Universit\u00e9","ror":"https://ror.org/02en5vm52","country_code":"FR","type":"education","lineage":["https://openalex.org/I39804081"]},{"id":"https://openalex.org/I4210096014","display_name":"Operation PAR","ror":"https://ror.org/00s31qp90","country_code":"US","type":"other","lineage":["https://openalex.org/I4210096014"]}],"countries":["FR","US"],"is_corresponding":false,"raw_author_name":"Vincent Cohen-Addad","raw_affiliation_strings":["Sorbonne Universit\u00e9s, UPMC Univ Paris 06, CNRS, LIP6, Paris, France","Centre National de la Recherche Scientifique","Recherche Op\u00e9rationnelle"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Sorbonne Universit\u00e9s, UPMC Univ Paris 06, CNRS, LIP6, Paris, France","institution_ids":["https://openalex.org/I204730241","https://openalex.org/I39804081","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Centre National de la Recherche Scientifique","institution_ids":["https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Recherche Op\u00e9rationnelle","institution_ids":["https://openalex.org/I4210096014"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5059014964","display_name":"\u00c9ric Colin de Verdi\u00e8re","orcid":null},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210152518","display_name":"Laboratoire d'Informatique Gaspard-Monge","ror":"https://ror.org/04t50yk91","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I142631665","https://openalex.org/I4210145102","https://openalex.org/I4210152518","https://openalex.org/I4210154111","https://openalex.org/I4210159245"]},{"id":"https://openalex.org/I4210154111","display_name":"Universit\u00e9 Gustave Eiffel","ror":"https://ror.org/03x42jk29","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210154111"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"\u00c9ric Colin de Verdi\u00e8re","raw_affiliation_strings":["LIGM, CNRS, Univ Gustave Eiffel, Marne-la-Vall\u00e9e, France","Laboratoire d'Informatique Gaspard-Monge","Centre National de la Recherche Scientifique"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LIGM, CNRS, Univ Gustave Eiffel, Marne-la-Vall\u00e9e, France","institution_ids":["https://openalex.org/I4210152518","https://openalex.org/I1294671590","https://openalex.org/I4210154111"]},{"raw_affiliation_string":"Laboratoire d'Informatique Gaspard-Monge","institution_ids":["https://openalex.org/I4210152518"]},{"raw_affiliation_string":"Centre National de la Recherche Scientifique","institution_ids":["https://openalex.org/I1294671590"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5012849997","display_name":"D\u00e1niel Marx","orcid":"https://orcid.org/0000-0002-5686-8314"},"institutions":[{"id":"https://openalex.org/I4210117195","display_name":"HUN-REN Institute for Computer Science and Control","ror":"https://ror.org/0249v7n71","country_code":"HU","type":"facility","lineage":["https://openalex.org/I4210117195","https://openalex.org/I4387152226"]},{"id":"https://openalex.org/I4210128801","display_name":"Helmholtz Center for Information Security","ror":"https://ror.org/02njgxr09","country_code":"DE","type":"facility","lineage":["https://openalex.org/I1305996414","https://openalex.org/I4210128801"]}],"countries":["DE","HU"],"is_corresponding":false,"raw_author_name":"D\u00e1niel Marx","raw_affiliation_strings":["CISPA Helmholtz Center for Information Security, Germany","Institute for Computer Science and Control [Budapest]"],"raw_orcid":"https://orcid.org/0000-0002-5686-8314","affiliations":[{"raw_affiliation_string":"CISPA Helmholtz Center for Information Security, Germany","institution_ids":["https://openalex.org/I4210128801"]},{"raw_affiliation_string":"Institute for Computer Science and Control [Budapest]","institution_ids":["https://openalex.org/I4210117195"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5083890014","display_name":"Arnaud de Mesmay","orcid":"https://orcid.org/0000-0002-7301-3799"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210124956","display_name":"GIPSA-Lab","ror":"https://ror.org/02wrme198","country_code":"FR","type":"facility","lineage":["https://openalex.org/I106785703","https://openalex.org/I1294671590","https://openalex.org/I4210124956","https://openalex.org/I899635006","https://openalex.org/I899635006"]},{"id":"https://openalex.org/I4210152518","display_name":"Laboratoire d'Informatique Gaspard-Monge","ror":"https://ror.org/04t50yk91","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I142631665","https://openalex.org/I4210145102","https://openalex.org/I4210152518","https://openalex.org/I4210154111","https://openalex.org/I4210159245"]},{"id":"https://openalex.org/I4210154111","display_name":"Universit\u00e9 Gustave Eiffel","ror":"https://ror.org/03x42jk29","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210154111"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Arnaud de Mesmay","raw_affiliation_strings":["LIGM, CNRS, Univ Gustave Eiffel, Marne-la-Vall\u00e9e, France","GIPSA - Architecture, G\u00e9om\u00e9trie, Perception, Images, Gestes","Centre National de la Recherche Scientifique"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LIGM, CNRS, Univ Gustave Eiffel, Marne-la-Vall\u00e9e, France","institution_ids":["https://openalex.org/I4210152518","https://openalex.org/I1294671590","https://openalex.org/I4210154111"]},{"raw_affiliation_string":"GIPSA - Architecture, G\u00e9om\u00e9trie, Perception, Images, Gestes","institution_ids":["https://openalex.org/I4210124956"]},{"raw_affiliation_string":"Centre National de la Recherche Scientifique","institution_ids":["https://openalex.org/I1294671590"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.7613,"has_fulltext":true,"cited_by_count":6,"citation_normalized_percentile":{"value":0.75785427,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"68","issue":"4","first_page":"1","last_page":"26"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9966999888420105,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9966999888420105,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.995199978351593,"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":0.9894000291824341,"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":0.7806060314178467},{"id":"https://openalex.org/keywords/parameterized-complexity","display_name":"Parameterized complexity","score":0.747556746006012},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5799520015716553},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5353022217750549},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5221664905548096},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.47502952814102173},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.4123704731464386}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7806060314178467},{"id":"https://openalex.org/C165464430","wikidata":"https://www.wikidata.org/wiki/Q1570441","display_name":"Parameterized complexity","level":2,"score":0.747556746006012},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5799520015716553},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5353022217750549},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5221664905548096},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.47502952814102173},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.4123704731464386},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1145/3450704","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3450704","pdf_url":null,"source":{"id":"https://openalex.org/S118992489","display_name":"Journal of the ACM","issn_l":"0004-5411","issn":["0004-5411","1557-735X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the ACM","raw_type":"journal-article"},{"id":"pmh:oai:eprints.sztaki.hu:9733","is_oa":true,"landing_page_url":"http://eprints.sztaki.hu/9733/","pdf_url":"http://eprints.sztaki.hu/9733/","source":{"id":"https://openalex.org/S4306401907","display_name":"SZTAKI Publication Repository (Hungarian Academy of Sciences)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I7597260","host_organization_name":"Hungarian Academy of Sciences","host_organization_lineage":["https://openalex.org/I7597260"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Book Section"},{"id":"pmh:oai:HAL:hal-03432633v1","is_oa":false,"landing_page_url":"https://hal.science/hal-03432633","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSN: 0004-5411","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:HAL:hal-04510609v1","is_oa":false,"landing_page_url":"https://hal.science/hal-04510609","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://dl.acm.org/doi/10.1145/3450704","raw_type":"Journal articles"},{"id":"pmh:oai:figshare.com:article/24612468","is_oa":true,"landing_page_url":"https://figshare.com/articles/journal_contribution/Almost_Tight_Lower_Bounds_for_Hard_Cutting_Problems_in_Embedded_Graphs/24612468","pdf_url":null,"source":{"id":"https://openalex.org/S4377196282","display_name":"Figshare","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210132348","host_organization_name":"Figshare (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210132348"],"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":"","raw_type":"Text"},{"id":"doi:10.60882/cispa.24612468.v1","is_oa":true,"landing_page_url":"https://doi.org/10.60882/cispa.24612468.v1","pdf_url":null,"source":{"id":"https://openalex.org/S7407050916","display_name":"CISPA Helmholtz Center","issn_l":null,"issn":[],"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"pmh:oai:eprints.sztaki.hu:9733","is_oa":true,"landing_page_url":"http://eprints.sztaki.hu/9733/","pdf_url":"http://eprints.sztaki.hu/9733/","source":{"id":"https://openalex.org/S4306401907","display_name":"SZTAKI Publication Repository (Hungarian Academy of Sciences)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I7597260","host_organization_name":"Hungarian Academy of Sciences","host_organization_lineage":["https://openalex.org/I7597260"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Book Section"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1923425703","display_name":null,"funder_award_id":"16-CE40-0009","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G2314866380","display_name":null,"funder_award_id":"ANR-18-CE40-0004-01","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G2723736142","display_name":"Foundations of Clustering Algorithms","funder_award_id":"ANR-18-CE40-0004","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G5364122174","display_name":null,"funder_award_id":"ANR-16-CE40-0009-01","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G678048077","display_name":"Structures on Surfaces","funder_award_id":"ANR-17-CE40-0033","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G6803667113","display_name":null,"funder_award_id":"ANR-17","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G6876561401","display_name":null,"funder_award_id":"ANR-18","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G8181396905","display_name":"Graphs, Algorithms and TOpology","funder_award_id":"ANR-16-CE40-0009","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G8318455765","display_name":null,"funder_award_id":"ANR-19","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G857585185","display_name":"Min-max constructions in geometry and topology","funder_award_id":"ANR-19-CE40-0014","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"}],"funders":[{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"},{"id":"https://openalex.org/F4320322892","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3182693212.pdf","grobid_xml":"https://content.openalex.org/works/W3182693212.grobid-xml"},"referenced_works_count":41,"referenced_works":["https://openalex.org/W95416648","https://openalex.org/W836309381","https://openalex.org/W1523762238","https://openalex.org/W1551635709","https://openalex.org/W1760079236","https://openalex.org/W1791386552","https://openalex.org/W1799262171","https://openalex.org/W1849364625","https://openalex.org/W1876731621","https://openalex.org/W1973819999","https://openalex.org/W1995725694","https://openalex.org/W1999211091","https://openalex.org/W2018047324","https://openalex.org/W2022459721","https://openalex.org/W2027519504","https://openalex.org/W2073558110","https://openalex.org/W2082687277","https://openalex.org/W2095087473","https://openalex.org/W2097289283","https://openalex.org/W2111829945","https://openalex.org/W2142767916","https://openalex.org/W2150004999","https://openalex.org/W2152986618","https://openalex.org/W2158584754","https://openalex.org/W2162561603","https://openalex.org/W2249739104","https://openalex.org/W2261299644","https://openalex.org/W2401939546","https://openalex.org/W2565287168","https://openalex.org/W2569270235","https://openalex.org/W2590998402","https://openalex.org/W2914414140","https://openalex.org/W2952466777","https://openalex.org/W2962856411","https://openalex.org/W2962884946","https://openalex.org/W2963232826","https://openalex.org/W2964067126","https://openalex.org/W2989902795","https://openalex.org/W4237554979","https://openalex.org/W4249548335","https://openalex.org/W4252017042"],"related_works":["https://openalex.org/W2998616538","https://openalex.org/W2964749573","https://openalex.org/W4288277589","https://openalex.org/W2401679980","https://openalex.org/W4245692971","https://openalex.org/W1984128946","https://openalex.org/W2362020254","https://openalex.org/W1971379739","https://openalex.org/W4385659976","https://openalex.org/W3163567768"],"abstract_inverted_index":{"We":[0,58,86,128,175,197],"prove":[1,87,130,198],"essentially":[2,126,264],"tight":[3],"lower":[4,90,201,269],"bounds,":[5],"conditionally":[6,102,222],"to":[7,103,223,282,298,310],"the":[8,24,30,60,104,109,132,139,177,224,230,236,239,249,252,258,268,272,278,318],"Exponential":[9],"Time":[10],"Hypothesis,":[11],"for":[12,92,203,226,294],"two":[13],"fundamental":[14],"but":[15],"seemingly":[16],"very":[17],"different":[18],"cutting":[19],"problems":[20,284],"on":[21,42,69],"surface-embedded":[22],"graphs:":[23],"Shortest":[25],"Cut":[26,32],"Graph":[27],"problem":[28,61,94,133,178,205],"and":[29,117,238],"Multiway":[31],"problem.":[33],"A":[34,148],"cut":[35,77,150,189],"graph":[36,39,67,78,154,184,237],"of":[37,49,62,72,79,95,145,151,166,173,179,190,206,229,235,241,303,317],"a":[38,43,47,56,70,76,83,88,142,164,187,194,199,287,313],"G":[40,50,74,155,185,316],"embedded":[41,68],"surface":[44,71],"S":[45,54],"is":[46,125,134,163,263,297],"subgraph":[48],"whose":[51,168],"removal":[52,169],"from":[53],"leaves":[55],"disk.":[57],"consider":[59,176],"deciding":[63,180],"whether":[64,181],"an":[65,152,182],"unweighted":[66,183],"genus":[73,231],"has":[75,186],"length":[80],"at":[81,192],"most":[82,193],"given":[84,195],"value.":[85,196],"time":[89,200],"bound":[91,202,270],"this":[93,204,266],"n":[96,111,207],"\u03a9(":[97,208],"g":[98,100,211,217,232],"log":[99,215],")":[101],"ETH.":[105],"In":[106,246],"other":[107,247],"words,":[108,248],"first":[110],"O(g)":[112],"-time":[113],"algorithm":[114,250],"by":[115,138,251,271],"Erickson":[116],"Har-Peled":[118],"[SoCG":[119],"2002,":[120],"Discr.":[121],"Comput.":[122],"Geom.":[123],"2004]":[124],"optimal.":[127],"also":[129],"that":[131],"W[1]-hard":[135],"when":[136],"parameterized":[137],"genus,":[140],"answering":[141],"17-year-old":[143],"question":[144],"these":[146],"authors.":[147],"multiway":[149,188],"undirected":[153],"with":[156],"t":[157,214,219,243],"distinguished":[158],"vertices,":[159],"called":[160],"terminals":[161,242],",":[162,221],"set":[165],"edges":[167],"disconnects":[170],"all":[171],"pairs":[172],"terminals.":[174],"weight":[191],"gt":[209],"+":[210,213,218],"2":[212],"(":[216],"))":[220],"ETH,":[225],"any":[227],"choice":[228],"\u2265":[233,244],"0":[234],"number":[240],"4.":[245],"second":[253],"author":[254,274],"[Algorithmica":[255],"2017]":[256],"(for":[257,277],"more":[259],"general":[260],"multicut":[261],"problem)":[262],"optimal;":[265],"extends":[267],"third":[273],"[ICALP":[275],"2012]":[276],"planar":[279,283],"case).":[280],"Reductions":[281],"usually":[285],"involve":[286],"gridlike":[288],"structure.":[289],"The":[290],"main":[291],"novel":[292],"idea":[293],"our":[295],"results":[296],"understand":[299],"what":[300],"structures":[301],"instead":[302],"grids":[304],"are":[305],"needed":[306],"if":[307],"we":[308],"want":[309],"exploit":[311],"optimally":[312],"certain":[314],"value":[315],"genus.":[319]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2}],"updated_date":"2026-06-22T08:00:12.763002","created_date":"2025-10-10T00:00:00"}
