{"id":"https://openalex.org/W3011008857","doi":"https://doi.org/10.1137/20m1383732","title":"Induced Subgraphs of Bounded Treewidth and the Container Method","display_name":"Induced Subgraphs of Bounded Treewidth and the Container Method","publication_year":2024,"publication_date":"2024-05-31","ids":{"openalex":"https://openalex.org/W3011008857","doi":"https://doi.org/10.1137/20m1383732","mag":"3011008857"},"language":"en","primary_location":{"id":"doi:10.1137/20m1383732","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m1383732","pdf_url":null,"source":{"id":"https://openalex.org/S153560523","display_name":"SIAM Journal on Computing","issn_l":"0097-5397","issn":["0097-5397","1095-7111"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Computing","raw_type":"journal-article"},"type":"article","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/A5112683397","display_name":"Tara Abrishami","orcid":null},"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":true,"raw_author_name":"Tara Abrishami","raw_affiliation_strings":["Princeton University, Princeton, NJ 08544 USA"],"affiliations":[{"raw_affiliation_string":"Princeton University, Princeton, NJ 08544 USA","institution_ids":["https://openalex.org/I20089843"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028345325","display_name":"Maria Chudnovsky","orcid":"https://orcid.org/0000-0002-8920-4944"},"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":"Maria Chudnovsky","raw_affiliation_strings":["Princeton University, Princeton, NJ 08544 USA"],"affiliations":[{"raw_affiliation_string":"Princeton University, Princeton, NJ 08544 USA","institution_ids":["https://openalex.org/I20089843"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5059330513","display_name":"Marcin Pilipczuk","orcid":"https://orcid.org/0000-0001-5680-7397"},"institutions":[{"id":"https://openalex.org/I4654613","display_name":"University of Warsaw","ror":"https://ror.org/039bjqg32","country_code":"PL","type":"education","lineage":["https://openalex.org/I4654613"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Marcin Pilipczuk","raw_affiliation_strings":["Institute of Informatics, University of Warsaw, Banacha 2, 02-097 Warsaw, Poland"],"affiliations":[{"raw_affiliation_string":"Institute of Informatics, University of Warsaw, Banacha 2, 02-097 Warsaw, Poland","institution_ids":["https://openalex.org/I4654613"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5047941027","display_name":"Pawe\u0142 Rz\u0105\u017cewski","orcid":"https://orcid.org/0000-0001-7696-3848"},"institutions":[{"id":"https://openalex.org/I108403487","display_name":"Warsaw University of Technology","ror":"https://ror.org/00y0xnp53","country_code":"PL","type":"education","lineage":["https://openalex.org/I108403487"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Pawe\u0142 Rz\u0105\u017cewski","raw_affiliation_strings":["Faculty of Mathematics and Information Science, Warsaw University of Technology, Koszykowa 75, 00-662 Warsaw, Poland and Institute of Informatics, University of Warsaw, 02-097 Warsaw, Poland"],"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics and Information Science, Warsaw University of Technology, Koszykowa 75, 00-662 Warsaw, Poland and Institute of Informatics, University of Warsaw, 02-097 Warsaw, Poland","institution_ids":["https://openalex.org/I108403487"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5031948088","display_name":"Paul Seymour","orcid":"https://orcid.org/0000-0003-0067-4534"},"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":"Paul Seymour","raw_affiliation_strings":["Princeton University, Princeton, NJ 08544 USA"],"affiliations":[{"raw_affiliation_string":"Princeton University, Princeton, NJ 08544 USA","institution_ids":["https://openalex.org/I20089843"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5112683397"],"corresponding_institution_ids":["https://openalex.org/I20089843"],"apc_list":null,"apc_paid":null,"fwci":0.3554,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.55342551,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"53","issue":"3","first_page":"624","last_page":"647"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9994000196456909,"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/T11329","display_name":"Limits and Structures in Graph Theory","score":0.996399998664856,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8707346320152283},{"id":"https://openalex.org/keywords/treewidth","display_name":"Treewidth","score":0.7195911407470703},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6214004755020142},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.60931396484375},{"id":"https://openalex.org/keywords/induced-path","display_name":"Induced path","score":0.5372716188430786},{"id":"https://openalex.org/keywords/induced-subgraph","display_name":"Induced subgraph","score":0.5024466514587402},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.4926205277442932},{"id":"https://openalex.org/keywords/exponential-time-hypothesis","display_name":"Exponential time hypothesis","score":0.442862868309021},{"id":"https://openalex.org/keywords/chordal-graph","display_name":"Chordal graph","score":0.4399327337741852},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4347912669181824},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.387670636177063},{"id":"https://openalex.org/keywords/pathwidth","display_name":"Pathwidth","score":0.36140328645706177},{"id":"https://openalex.org/keywords/longest-path-problem","display_name":"Longest path problem","score":0.1350918412208557},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.10006394982337952}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8707346320152283},{"id":"https://openalex.org/C132569581","wikidata":"https://www.wikidata.org/wiki/Q5067368","display_name":"Treewidth","level":5,"score":0.7195911407470703},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6214004755020142},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.60931396484375},{"id":"https://openalex.org/C58228413","wikidata":"https://www.wikidata.org/wiki/Q15704639","display_name":"Induced path","level":5,"score":0.5372716188430786},{"id":"https://openalex.org/C2778012994","wikidata":"https://www.wikidata.org/wiki/Q24743362","display_name":"Induced subgraph","level":4,"score":0.5024466514587402},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.4926205277442932},{"id":"https://openalex.org/C71017364","wikidata":"https://www.wikidata.org/wiki/Q5421532","display_name":"Exponential time hypothesis","level":3,"score":0.442862868309021},{"id":"https://openalex.org/C160446614","wikidata":"https://www.wikidata.org/wiki/Q1322892","display_name":"Chordal graph","level":3,"score":0.4399327337741852},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4347912669181824},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.387670636177063},{"id":"https://openalex.org/C43517604","wikidata":"https://www.wikidata.org/wiki/Q7144893","display_name":"Pathwidth","level":4,"score":0.36140328645706177},{"id":"https://openalex.org/C1465435","wikidata":"https://www.wikidata.org/wiki/Q2916352","display_name":"Longest path problem","level":4,"score":0.1350918412208557},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.10006394982337952},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/20m1383732","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m1383732","pdf_url":null,"source":{"id":"https://openalex.org/S153560523","display_name":"SIAM Journal on Computing","issn_l":"0097-5397","issn":["0097-5397","1095-7111"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1348714323","display_name":null,"funder_award_id":"DMS-1800053","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G3600880451","display_name":null,"funder_award_id":"W911NF-16-1-0404","funder_id":"https://openalex.org/F4320338281","funder_display_name":"Army Research Office"},{"id":"https://openalex.org/G3741855807","display_name":null,"funder_award_id":"714704","funder_id":"https://openalex.org/F4320332999","funder_display_name":"Horizon 2020 Framework Programme"},{"id":"https://openalex.org/G6731938551","display_name":null,"funder_award_id":"DMS-1763817","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7561358084","display_name":null,"funder_award_id":"2018/31/D/ST6/00062","funder_id":"https://openalex.org/F4320322511","funder_display_name":"Narodowe Centrum Nauki"},{"id":"https://openalex.org/G823600699","display_name":null,"funder_award_id":"A9550-19-1-0187","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320322511","display_name":"Narodowe Centrum Nauki","ror":"https://ror.org/03ha2q922"},{"id":"https://openalex.org/F4320332999","display_name":"Horizon 2020 Framework Programme","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320338279","display_name":"Air Force Office of Scientific Research","ror":"https://ror.org/011e9bt93"},{"id":"https://openalex.org/F4320338281","display_name":"Army Research Office","ror":"https://ror.org/05epdh915"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W1569612812","https://openalex.org/W1593573721","https://openalex.org/W1630345158","https://openalex.org/W1813769739","https://openalex.org/W1965381228","https://openalex.org/W1967799084","https://openalex.org/W1968041356","https://openalex.org/W1972095231","https://openalex.org/W1973199140","https://openalex.org/W1983860528","https://openalex.org/W1985733932","https://openalex.org/W1989539462","https://openalex.org/W1993328543","https://openalex.org/W2010030994","https://openalex.org/W2012329067","https://openalex.org/W2015906942","https://openalex.org/W2027892020","https://openalex.org/W2085550081","https://openalex.org/W2296729072","https://openalex.org/W2401610261","https://openalex.org/W2920896318","https://openalex.org/W2962973705","https://openalex.org/W2963603765","https://openalex.org/W2964258819","https://openalex.org/W2965260888","https://openalex.org/W2965619982","https://openalex.org/W2972608511","https://openalex.org/W3038100514","https://openalex.org/W3038926908","https://openalex.org/W3114951492","https://openalex.org/W3129306252","https://openalex.org/W4226048850"],"related_works":["https://openalex.org/W1511821218","https://openalex.org/W2175868772","https://openalex.org/W1587078595","https://openalex.org/W2962747312","https://openalex.org/W2124176527","https://openalex.org/W2810116196","https://openalex.org/W2964032063","https://openalex.org/W4288110151","https://openalex.org/W2956577062","https://openalex.org/W3031065515"],"abstract_inverted_index":{"A":[0,14],"hole":[1,15,80],"in":[2,51,60,144],"a":[3,29,69,78,148],"graph":[4,131],"is":[5,16,21,77],"an":[6,82,103,129,139],"induced":[7,114,150],"cycle":[8],"of":[9,64,92,100,108,152,154],"length":[10,20,109],"at":[11,22,110],"least":[12,23,111],"4.":[13],"long":[17],"if":[18],"its":[19],"5.":[24],"By":[25],"$P_t$":[26],"we":[27,37],"denote":[28],"path":[30],"on":[31],"$t$":[32],"vertices.":[33],"In":[34],"this":[35],"paper":[36],"give":[38],"polynomial-time":[39],"algorithms":[40],"for":[41],"the":[42,45,55,65,93,98],"following":[43],"problems:":[44],"Maximum":[46],"Weight":[47],"Independent":[48],"Set":[49,58],"problem":[50,59],"long-hole-free":[52,119],"graphs,":[53],"and":[54,106,121,138],"Feedback":[56],"Vertex":[57],"$P_5$-free":[61,123],"graphs.":[62,124],"Each":[63],"above":[66],"results":[67],"resolves":[68],"corresponding":[70],"long-standing":[71],"open":[72],"problem.":[73],"\r\nAn":[74],"extended":[75,104],"$C_5$":[76,105],"five-vertex":[79],"with":[81,135],"additional":[83],"vertex":[84,136],"adjacent":[85],"to":[86],"one":[87,142],"or":[88],"two":[89],"consecutive":[90],"vertices":[91],"hole.":[94],"Let":[95],"$\\mathcal{C}$":[96,116],"be":[97],"class":[99],"graphs":[101,120],"excluding":[102],"holes":[107],"$6$":[112],"as":[113],"subgraphs;":[115],"contains":[117],"all":[118,122],"We":[125],"show":[126],"that,":[127],"given":[128],"$n$-vertex":[130],"$G":[132],"\\in":[133],"\\mathcal{C}$":[134],"weights":[137],"integer":[140],"$k$,":[141],"can":[143],"time":[145],"$n^{\\Oh(k)}$":[146],"find":[147],"maximum-weight":[149],"subgraph":[151],"$G$":[153],"treewidth":[155],"less":[156],"than":[157],"$k$.":[158],"This":[159],"implies":[160],"both":[161],"aforementioned":[162],"results.":[163]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":2}],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2025-10-10T00:00:00"}