{"id":"https://openalex.org/W4406302409","doi":"https://doi.org/10.1145/3711669","title":"Wannabe Bounded Treewidth Graphs Admit a Polynomial Kernel for Directed Feedback Vertex Set","display_name":"Wannabe Bounded Treewidth Graphs Admit a Polynomial Kernel for Directed Feedback Vertex Set","publication_year":2025,"publication_date":"2025-01-13","ids":{"openalex":"https://openalex.org/W4406302409","doi":"https://doi.org/10.1145/3711669"},"language":"en","primary_location":{"id":"doi:10.1145/3711669","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3711669","pdf_url":null,"source":{"id":"https://openalex.org/S205019203","display_name":"ACM Transactions on Computation Theory","issn_l":"1942-3454","issn":["1942-3454","1942-3462"],"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":"ACM Transactions on Computation Theory","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/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":["University of California Santa Barbara, Santa Barbara, USA"],"raw_orcid":"https://orcid.org/0000-0002-3166-9212","affiliations":[{"raw_affiliation_string":"University of California Santa Barbara, Santa Barbara, USA","institution_ids":["https://openalex.org/I154570441"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5000147923","display_name":"R. Sridharan","orcid":"https://orcid.org/0000-0002-2116-6048"},"institutions":[{"id":"https://openalex.org/I39555362","display_name":"University of Warwick","ror":"https://ror.org/01a77tt86","country_code":"GB","type":"education","lineage":["https://openalex.org/I39555362"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Maadapuzhi-Sridharan Ramanujan","raw_affiliation_strings":["University of Warwick, Coventry, United Kingdom"],"raw_orcid":"https://orcid.org/0000-0002-2116-6048","affiliations":[{"raw_affiliation_string":"University of Warwick, Coventry, United Kingdom","institution_ids":["https://openalex.org/I39555362"]}]},{"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":["The Institute of Mathematical Sciences, Chennai, India","The Institute of Mathematical Sciences, Chennai India"],"raw_orcid":"https://orcid.org/0000-0001-7847-6402","affiliations":[{"raw_affiliation_string":"The Institute of Mathematical Sciences, Chennai, India","institution_ids":["https://openalex.org/I59611059"]},{"raw_affiliation_string":"The Institute of Mathematical Sciences, Chennai India","institution_ids":["https://openalex.org/I59611059"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5042086477","display_name":"Roohani Sharma","orcid":"https://orcid.org/0000-0003-2212-1359"},"institutions":[{"id":"https://openalex.org/I4210109712","display_name":"Max Planck Institute for Informatics","ror":"https://ror.org/01w19ak89","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210109712"]},{"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":["DE","NO"],"is_corresponding":false,"raw_author_name":"Roohani Sharma","raw_affiliation_strings":["Max Planck Institute for Informatics, Saarbr\u00fccken, Germany and University of Bergen, Bergen, Norway","University of Bergen, Bergen Norway","Max Planck Institute for Informatics,  Saarbr\u00fccken Germany"],"raw_orcid":"https://orcid.org/0000-0003-2212-1359","affiliations":[{"raw_affiliation_string":"Max Planck Institute for Informatics, Saarbr\u00fccken, Germany and University of Bergen, Bergen, Norway","institution_ids":["https://openalex.org/I4210109712","https://openalex.org/I4432739"]},{"raw_affiliation_string":"University of Bergen, Bergen Norway","institution_ids":["https://openalex.org/I4432739"]},{"raw_affiliation_string":"Max Planck Institute for Informatics,  Saarbr\u00fccken Germany","institution_ids":["https://openalex.org/I4210109712"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5082025487","display_name":"Meirav Zehavi","orcid":"https://orcid.org/0000-0002-3636-5322"},"institutions":[{"id":"https://openalex.org/I124227911","display_name":"Ben-Gurion University of the Negev","ror":"https://ror.org/05tkyf982","country_code":"IL","type":"education","lineage":["https://openalex.org/I124227911"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Meirav Zehavi","raw_affiliation_strings":["Ben-Gurion University of the Negev, Beersheba, Israel","Ben-Gurion University of the Negev, Beersheba Israel"],"raw_orcid":"https://orcid.org/0000-0002-3636-5322","affiliations":[{"raw_affiliation_string":"Ben-Gurion University of the Negev, Beersheba, Israel","institution_ids":["https://openalex.org/I124227911"]},{"raw_affiliation_string":"Ben-Gurion University of the Negev, Beersheba Israel","institution_ids":["https://openalex.org/I124227911"]}]}],"institutions":[],"countries_distinct_count":6,"institutions_distinct_count":6,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.01000333,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"17","issue":"1","first_page":"1","last_page":"28"},"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":0.998199999332428,"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/T11476","display_name":"Graph theory and applications","score":0.9959999918937683,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/treewidth","display_name":"Treewidth","score":0.8179540634155273},{"id":"https://openalex.org/keywords/partial-k-tree","display_name":"Partial k-tree","score":0.7469812631607056},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6746437549591064},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5876646637916565},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.5851655006408691},{"id":"https://openalex.org/keywords/1-planar-graph","display_name":"1-planar graph","score":0.5606611967086792},{"id":"https://openalex.org/keywords/tree-depth","display_name":"Tree-depth","score":0.5554799437522888},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5436839461326599},{"id":"https://openalex.org/keywords/feedback-vertex-set","display_name":"Feedback vertex set","score":0.516218900680542},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.44669318199157715},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.41912731528282166},{"id":"https://openalex.org/keywords/chordal-graph","display_name":"Chordal graph","score":0.362793505191803},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.3566177785396576},{"id":"https://openalex.org/keywords/pathwidth","display_name":"Pathwidth","score":0.34008678793907166},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.08637160062789917}],"concepts":[{"id":"https://openalex.org/C132569581","wikidata":"https://www.wikidata.org/wiki/Q5067368","display_name":"Treewidth","level":5,"score":0.8179540634155273},{"id":"https://openalex.org/C128764233","wikidata":"https://www.wikidata.org/wiki/Q7140374","display_name":"Partial k-tree","level":5,"score":0.7469812631607056},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6746437549591064},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5876646637916565},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.5851655006408691},{"id":"https://openalex.org/C102192266","wikidata":"https://www.wikidata.org/wiki/Q4545823","display_name":"1-planar graph","level":4,"score":0.5606611967086792},{"id":"https://openalex.org/C69284658","wikidata":"https://www.wikidata.org/wiki/Q7837500","display_name":"Tree-depth","level":5,"score":0.5554799437522888},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5436839461326599},{"id":"https://openalex.org/C28723256","wikidata":"https://www.wikidata.org/wiki/Q1400918","display_name":"Feedback vertex set","level":4,"score":0.516218900680542},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.44669318199157715},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.41912731528282166},{"id":"https://openalex.org/C160446614","wikidata":"https://www.wikidata.org/wiki/Q1322892","display_name":"Chordal graph","level":3,"score":0.362793505191803},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.3566177785396576},{"id":"https://openalex.org/C43517604","wikidata":"https://www.wikidata.org/wiki/Q7144893","display_name":"Pathwidth","level":4,"score":0.34008678793907166},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.08637160062789917},{"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:10.1145/3711669","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3711669","pdf_url":null,"source":{"id":"https://openalex.org/S205019203","display_name":"ACM Transactions on Computation Theory","issn_l":"1942-3454","issn":["1942-3454","1942-3462"],"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":"ACM Transactions on Computation Theory","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":53,"referenced_works":["https://openalex.org/W78721095","https://openalex.org/W1048071008","https://openalex.org/W1517036688","https://openalex.org/W1826506799","https://openalex.org/W1846185267","https://openalex.org/W1918504188","https://openalex.org/W1979312598","https://openalex.org/W1996472240","https://openalex.org/W1997576329","https://openalex.org/W2014363582","https://openalex.org/W2015905456","https://openalex.org/W2016590962","https://openalex.org/W2022841964","https://openalex.org/W2024517697","https://openalex.org/W2040831377","https://openalex.org/W2059273723","https://openalex.org/W2059372025","https://openalex.org/W2070745908","https://openalex.org/W2075199819","https://openalex.org/W2079566953","https://openalex.org/W2081880478","https://openalex.org/W2083748805","https://openalex.org/W2084595628","https://openalex.org/W2086937160","https://openalex.org/W2094004458","https://openalex.org/W2104713819","https://openalex.org/W2116087731","https://openalex.org/W2125350407","https://openalex.org/W2165662279","https://openalex.org/W2332112754","https://openalex.org/W2490706771","https://openalex.org/W2504451018","https://openalex.org/W2563156040","https://openalex.org/W2568407640","https://openalex.org/W2593070308","https://openalex.org/W2731224278","https://openalex.org/W2751689185","https://openalex.org/W2775670884","https://openalex.org/W2779026676","https://openalex.org/W2909144890","https://openalex.org/W2914414140","https://openalex.org/W2963271882","https://openalex.org/W4210428909","https://openalex.org/W4210896998","https://openalex.org/W4211121212","https://openalex.org/W4213060883","https://openalex.org/W4214877845","https://openalex.org/W4240459070","https://openalex.org/W4247786141","https://openalex.org/W4248823871","https://openalex.org/W4255585629","https://openalex.org/W6628447200","https://openalex.org/W6690484361"],"related_works":["https://openalex.org/W1976784955","https://openalex.org/W2091382007","https://openalex.org/W2012687409","https://openalex.org/W1976463682","https://openalex.org/W2889180046","https://openalex.org/W4297435153","https://openalex.org/W1982089707","https://openalex.org/W2803227791","https://openalex.org/W1585579706","https://openalex.org/W1649387244"],"abstract_inverted_index":{"In":[0,66,162],"the":[1,18,54,80,87,99,102,112,135,138,147,150,164,172,175,183,215],"Directed":[2],"Feedback":[3],"Vertex":[4],"Set":[5],"(DFVS)":[6],"problem,":[7],"given":[8],"a":[9,13,26,39,46,60,71,83,105,119,131,141,211],"digraph":[10],"D":[11,36],"and":[12,124],"positive":[14,96,200],"integer":[15],"k":[16,31,57,78],",":[17,51,58],"goal":[19],"is":[20,59,93,126,137,208],"to":[21,128,160],"check":[22],"if":[23],"there":[24],"exists":[25],"set":[27,179],"of":[28,45,82,101,104,140,149,158,168,174,195,214,217],"at":[29],"most":[30],"vertices":[32],"whose":[33],"deletion":[34],"from":[35],"results":[37,202],"in":[38,64,182,191,221],"directed":[40],"acyclic":[41],"graph.":[42],"The":[43],"existence":[44,103],"polynomial":[47,72,106,132,165],"kernel":[48,73,107,133],"for":[49,74,108,118,154],"DFVS":[50,75,109,169,204],"parameterized":[52,76,170],"by":[53,77,111,171],"solution":[55,113,144],"size":[56,81,139,145,148,173],"central":[61],"open":[62,117],"problem":[63],"kernelization.":[65],"this":[67],"article,":[68],"we":[69],"give":[70],"plus":[79,146],"treewidth-\u03b7":[84,151],"modulator":[85,152],"(of":[86],"underlying":[88,184],"undirected":[89,176,185],"graph),":[90],"where":[91],"\u03b7":[92],"any":[94],"fixed":[95],"integer.":[97],"Since":[98],"status":[100],"(parameterized":[110],"size)":[114],"has":[115,187],"been":[116,189],"very":[120],"long":[121],"time":[122],"now,":[123],"it":[125],"known":[127],"not":[129],"admit":[130],"when":[134],"parameter":[136,159,196],"treewidth-2":[142],"modulator,":[143],"makes":[153],"an":[155],"interesting":[156],"choice":[157,194],"study.":[161],"fact,":[163],"kernelization":[166,201],"complexity":[167],"feedback":[177],"vertex":[178],"(treewidth-1":[180],"modulator)":[181],"graph":[186],"already":[188],"studied":[190],"literature.":[192],"Our":[193,206],"strictly":[197],"encompasses":[198],"previous":[199],"on":[203,210],".":[205],"result":[207],"based":[209],"novel":[212],"application":[213],"tool":[216],"important":[218],"separators":[219],"embedded":[220],"state-of-the-art":[222],"machinery":[223],"such":[224],"as":[225],"protrusion":[226],"decompositions.":[227]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
