{"id":"https://openalex.org/W4405372699","doi":"https://doi.org/10.1145/3708544","title":"Odd Cycle Transversal on <i>P</i> <sub>5</sub> -free Graphs in Polynomial Time","display_name":"Odd Cycle Transversal on <i>P</i> <sub>5</sub> -free Graphs in Polynomial Time","publication_year":2024,"publication_date":"2024-12-13","ids":{"openalex":"https://openalex.org/W4405372699","doi":"https://doi.org/10.1145/3708544"},"language":"en","primary_location":{"id":"doi:10.1145/3708544","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3708544","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3708544","source":{"id":"https://openalex.org/S137348503","display_name":"ACM Transactions on Algorithms","issn_l":"1549-6325","issn":["1549-6325","1549-6333"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Algorithms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://dl.acm.org/doi/pdf/10.1145/3708544","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5029431771","display_name":"Akanksha Agrawal","orcid":"https://orcid.org/0000-0002-0656-7572"},"institutions":[{"id":"https://openalex.org/I24676775","display_name":"Indian Institute of Technology Madras","ror":"https://ror.org/03v0r5n49","country_code":"IN","type":"facility","lineage":["https://openalex.org/I24676775"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Akanksha Agrawal","raw_affiliation_strings":["Indian Institute of Technology Madras, Chennai, India","Indian Institute of Technology Madras, India"],"affiliations":[{"raw_affiliation_string":"Indian Institute of Technology Madras, Chennai, India","institution_ids":["https://openalex.org/I24676775"]},{"raw_affiliation_string":"Indian Institute of Technology Madras, India","institution_ids":["https://openalex.org/I24676775"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5091558578","display_name":"Paloma T. Lima","orcid":null},"institutions":[{"id":"https://openalex.org/I83467386","display_name":"IT University of Copenhagen","ror":"https://ror.org/02309jg23","country_code":"DK","type":"education","lineage":["https://openalex.org/I83467386"]}],"countries":["DK"],"is_corresponding":false,"raw_author_name":"Paloma T. Lima","raw_affiliation_strings":["IT University of Copenhagen, Copenhagen, Denmark","IT University of Copenhagen, Denmark"],"affiliations":[{"raw_affiliation_string":"IT University of Copenhagen, Copenhagen, Denmark","institution_ids":["https://openalex.org/I83467386"]},{"raw_affiliation_string":"IT University of Copenhagen, Denmark","institution_ids":["https://openalex.org/I83467386"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5038531405","display_name":"Daniel Lokshtanov","orcid":"https://orcid.org/0000-0002-3166-9212"},"institutions":[{"id":"https://openalex.org/I154570441","display_name":"University of California, Santa Barbara","ror":"https://ror.org/02t274463","country_code":"US","type":"education","lineage":["https://openalex.org/I154570441"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Daniel Lokshtanov","raw_affiliation_strings":["UCSB, Santa Barbara, CA, USA","University of California, United States of America"],"affiliations":[{"raw_affiliation_string":"UCSB, Santa Barbara, CA, USA","institution_ids":["https://openalex.org/I154570441"]},{"raw_affiliation_string":"University of California, United States of America","institution_ids":[]}]},{"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/I4654613","display_name":"University of Warsaw","ror":"https://ror.org/039bjqg32","country_code":"PL","type":"education","lineage":["https://openalex.org/I4654613"]},{"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":["Warsaw University of Technology Faculty of Mathematics and Information Science, Warszawa, Poland and University of Warsaw Institute of Informatics, Warszawa, Poland","Warsaw University of Technology and Institute of Informatics, University of Warsaw, Poland"],"affiliations":[{"raw_affiliation_string":"Warsaw University of Technology Faculty of Mathematics and Information Science, Warszawa, Poland and University of Warsaw Institute of Informatics, Warszawa, Poland","institution_ids":["https://openalex.org/I4654613","https://openalex.org/I108403487"]},{"raw_affiliation_string":"Warsaw University of Technology and Institute of Informatics, University of Warsaw, Poland","institution_ids":["https://openalex.org/I108403487","https://openalex.org/I4654613"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015806060","display_name":"Saket Saurabh","orcid":"https://orcid.org/0000-0001-7847-6402"},"institutions":[{"id":"https://openalex.org/I59611059","display_name":"Institute of Mathematical Sciences","ror":"https://ror.org/05078rg59","country_code":"IN","type":"facility","lineage":["https://openalex.org/I59611059"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Saket Saurabh","raw_affiliation_strings":["Theoretical Computer Science Group, The Institute of Mathematical Sciences, Chennai, India","Institute of Mathematical Sciences, India"],"affiliations":[{"raw_affiliation_string":"Theoretical Computer Science Group, The Institute of Mathematical Sciences, Chennai, India","institution_ids":["https://openalex.org/I59611059"]},{"raw_affiliation_string":"Institute of Mathematical Sciences, India","institution_ids":["https://openalex.org/I59611059"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5042086477","display_name":"Roohani Sharma","orcid":"https://orcid.org/0000-0003-2212-1359"},"institutions":[{"id":"https://openalex.org/I4432739","display_name":"University of Bergen","ror":"https://ror.org/03zga2b32","country_code":"NO","type":"education","lineage":["https://openalex.org/I4432739"]}],"countries":["NO"],"is_corresponding":false,"raw_author_name":"Roohani Sharma","raw_affiliation_strings":["Department of Informatics, University of Bergen, Bergen, Norway","University of Bergen, Norway"],"affiliations":[{"raw_affiliation_string":"Department of Informatics, University of Bergen, Bergen, Norway","institution_ids":["https://openalex.org/I4432739"]},{"raw_affiliation_string":"University of Bergen, Norway","institution_ids":["https://openalex.org/I4432739"]}]}],"institutions":[],"countries_distinct_count":5,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5029431771"],"corresponding_institution_ids":["https://openalex.org/I24676775"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.27920155,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"21","issue":"2","first_page":"1","last_page":"14"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":1.0,"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":1.0,"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":0.9998000264167786,"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/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9991000294685364,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8430885076522827},{"id":"https://openalex.org/keywords/bipartite-graph","display_name":"Bipartite graph","score":0.7600637674331665},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.6206642389297485},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6031655669212341},{"id":"https://openalex.org/keywords/transversal","display_name":"Transversal (combinatorics)","score":0.578076958656311},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.5306220054626465},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.457610547542572},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.44781777262687683},{"id":"https://openalex.org/keywords/induced-subgraph","display_name":"Induced subgraph","score":0.43124711513519287}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8430885076522827},{"id":"https://openalex.org/C197657726","wikidata":"https://www.wikidata.org/wiki/Q174733","display_name":"Bipartite graph","level":3,"score":0.7600637674331665},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.6206642389297485},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6031655669212341},{"id":"https://openalex.org/C2780130068","wikidata":"https://www.wikidata.org/wiki/Q2208651","display_name":"Transversal (combinatorics)","level":2,"score":0.578076958656311},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.5306220054626465},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.457610547542572},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.44781777262687683},{"id":"https://openalex.org/C2778012994","wikidata":"https://www.wikidata.org/wiki/Q24743362","display_name":"Induced subgraph","level":4,"score":0.43124711513519287},{"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:10.1145/3708544","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3708544","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3708544","source":{"id":"https://openalex.org/S137348503","display_name":"ACM Transactions on Algorithms","issn_l":"1549-6325","issn":["1549-6325","1549-6333"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Algorithms","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1145/3708544","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3708544","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3708544","source":{"id":"https://openalex.org/S137348503","display_name":"ACM Transactions on Algorithms","issn_l":"1549-6325","issn":["1549-6325","1549-6333"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Algorithms","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4405372699.pdf","grobid_xml":"https://content.openalex.org/works/W4405372699.grobid-xml"},"referenced_works_count":46,"referenced_works":["https://openalex.org/W836309381","https://openalex.org/W1488421129","https://openalex.org/W1546304675","https://openalex.org/W1579049696","https://openalex.org/W1593573721","https://openalex.org/W1621031363","https://openalex.org/W1966756977","https://openalex.org/W1968041356","https://openalex.org/W2000763343","https://openalex.org/W2004181701","https://openalex.org/W2030973065","https://openalex.org/W2032222063","https://openalex.org/W2035700242","https://openalex.org/W2051856222","https://openalex.org/W2089686090","https://openalex.org/W2105680721","https://openalex.org/W2119741712","https://openalex.org/W2149785904","https://openalex.org/W2166115470","https://openalex.org/W2282776087","https://openalex.org/W2486237862","https://openalex.org/W2513955757","https://openalex.org/W2593107672","https://openalex.org/W2595840369","https://openalex.org/W2952587811","https://openalex.org/W2963603765","https://openalex.org/W2964258819","https://openalex.org/W2965619982","https://openalex.org/W2972759174","https://openalex.org/W2990897790","https://openalex.org/W2992705078","https://openalex.org/W3039948875","https://openalex.org/W3108106901","https://openalex.org/W3122713457","https://openalex.org/W3128980175","https://openalex.org/W3148781234","https://openalex.org/W3167580896","https://openalex.org/W3177161618","https://openalex.org/W3205762307","https://openalex.org/W4244206605","https://openalex.org/W4246970570","https://openalex.org/W4285617425","https://openalex.org/W4390590896","https://openalex.org/W4403365292","https://openalex.org/W4404340963","https://openalex.org/W6650347041"],"related_works":["https://openalex.org/W2489339695","https://openalex.org/W2949735222","https://openalex.org/W4300919538","https://openalex.org/W2151412766","https://openalex.org/W2167462019","https://openalex.org/W1979242696","https://openalex.org/W4299570239","https://openalex.org/W1581957840","https://openalex.org/W2951550838","https://openalex.org/W4320022211"],"abstract_inverted_index":{"An":[0],"independent":[1,28],"set":[2,9,22],"in":[3,67],"a":[4,8,39,44,49,61,145,198],"graph":[5,15,40],"\\(G\\)":[6,16,41,68],"is":[7,17,38,58,72,88],"of":[10,76,144],"pairwise":[11],"non-adjacent":[12],"vertices.":[13],"A":[14],"bipartite":[18],"if":[19],"its":[20],"vertex":[21,64],"can":[23],"be":[24,110],"partitioned":[25],"into":[26],"two":[27],"sets.":[29],"In":[30],"the":[31,36,56,74,142,184],"Odd":[32,85],"Cycle":[33,86],"Transversal":[34,87],"problem,":[35,185],"input":[37],"along":[42],"with":[43,52,179],"weight":[45,51,63,75],"function":[46],"w":[47],"associating":[48],"rational":[50],"each":[53],"vertex,":[54],"and":[55,117,129,137,171,186,192],"task":[57],"to":[59,109],"find":[60],"minimum":[62],"subset":[65],"\\(S\\)":[66,77],"such":[69],"that":[70,84],"\\(G-S\\)":[71],"bipartite;":[73],",":[78],"\\(\\text{w}(S)=\\sum_{v\\in":[79],"S}\\text{w}(v)\\)":[80],".":[81],"We":[82],"show":[83],"polynomial-time":[89,111,146],"solvable":[90,112],"on":[91,97,113,120,148],"graphs":[92,116,123,151],"excluding":[93],"\\(P_{5}\\)":[94,149],"(a":[95],"path":[96],"five":[98],"vertices)":[99],"as":[100,152],"an":[101,153,177],"induced":[102],"subgraph.":[103],"The":[104],"problem":[105],"was":[106,157],"previously":[107],"known":[108],"\\(P_{4}\\)":[114],"-free":[115,122,150],"NP":[118],"-hard":[119],"\\(P_{6}\\)":[121],"[Dabrowski,":[124],"Feghali,":[125,135],"Johnson,":[126],"Paesani,":[127],"Paulusma":[128,138],"Rz\u0105\u017cewski,":[130,170],"Algorithmica":[131],"2020].":[132],"Bonamy,":[133],"Dabrowski,":[134],"Johnson":[136],"[Algorithmica":[139],"2019]":[140],"posed":[141],"existence":[143],"algorithm":[147,178],"open":[154],"problem.":[155],"This":[156],"later":[158],"re-stated":[159],"by":[160,166,187],"Rz\u0105\u017cewski":[161],"[Dagstuhl":[162],"Reports,":[163],"9(6):":[164],"2019],":[165],"Chudnovsky,":[167],"King,":[168],"Pilipczuk,":[169],"Spirkl":[172],"[SIDMA":[173],"2021]":[174],"who":[175,196],"gave":[176,197],"running":[180],"time":[181,200],"\\(n^{O(\\sqrt{n})}\\)":[182],"for":[183],"Agrawal,":[188],"Lima,":[189],"Lokshtanov,":[190],"Saurabh,":[191],"Sharma":[193],"[SODA":[194],"2024]":[195],"quasi-polynomial":[199],"algorithm.":[201]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2024-12-14T00:00:00"}