{"id":"https://openalex.org/W2810074797","doi":"https://doi.org/10.1145/3155298","title":"Kernels for (Connected) Dominating Set on Graphs with Excluded Topological Minors","display_name":"Kernels for (Connected) Dominating Set on Graphs with Excluded Topological Minors","publication_year":2018,"publication_date":"2018-01-03","ids":{"openalex":"https://openalex.org/W2810074797","doi":"https://doi.org/10.1145/3155298","mag":"2810074797"},"language":"en","primary_location":{"id":"doi:10.1145/3155298","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3155298","pdf_url":null,"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":null,"license_id":null,"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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5075328697","display_name":"Fedor V. Fomin","orcid":"https://orcid.org/0000-0003-1955-4612"},"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":true,"raw_author_name":"Fedor V. Fomin","raw_affiliation_strings":["University of Bergen, Bergen, Norway"],"affiliations":[{"raw_affiliation_string":"University of Bergen, Bergen, Norway","institution_ids":["https://openalex.org/I4432739"]}]},{"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/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":"Daniel Lokshtanov","raw_affiliation_strings":["University of Bergen, Bergen, Norway"],"affiliations":[{"raw_affiliation_string":"University of Bergen, Bergen, Norway","institution_ids":["https://openalex.org/I4432739"]}]},{"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/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":"Saket Saurabh","raw_affiliation_strings":["Institute of Mathematical Sciences and University of Bergen, Bergen, Norway"],"affiliations":[{"raw_affiliation_string":"Institute of Mathematical Sciences and University of Bergen, Bergen, Norway","institution_ids":["https://openalex.org/I4432739"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5085447779","display_name":"Dimitrios M. Thilikos","orcid":null},"institutions":[{"id":"https://openalex.org/I4210101743","display_name":"Laboratoire d'Informatique, de Robotique et de Micro\u00e9lectronique de Montpellier","ror":"https://ror.org/013yean28","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I151295451","https://openalex.org/I19894307","https://openalex.org/I4210101743","https://openalex.org/I4210159245","https://openalex.org/I4412460525"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Dimitrios M. Thilikos","raw_affiliation_strings":["National and Kapodistrian University of Athens and AlGCo project-team, CNRS, LIRMM, Montpellier, France"],"affiliations":[{"raw_affiliation_string":"National and Kapodistrian University of Athens and AlGCo project-team, CNRS, LIRMM, Montpellier, France","institution_ids":["https://openalex.org/I4210101743","https://openalex.org/I1294671590"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5075328697"],"corresponding_institution_ids":["https://openalex.org/I4432739"],"apc_list":null,"apc_paid":null,"fwci":1.7073,"has_fulltext":false,"cited_by_count":18,"citation_normalized_percentile":{"value":0.86163925,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"14","issue":"1","first_page":"1","last_page":"31"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9995999932289124,"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":0.9995999932289124,"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":0.9957000017166138,"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":0.9509000182151794,"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":0.8193290829658508},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7623245716094971},{"id":"https://openalex.org/keywords/kernelization","display_name":"Kernelization","score":0.7435369491577148},{"id":"https://openalex.org/keywords/minor","display_name":"Minor (academic)","score":0.5731929540634155},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5229952335357666},{"id":"https://openalex.org/keywords/1-planar-graph","display_name":"1-planar graph","score":0.5085195302963257},{"id":"https://openalex.org/keywords/pathwidth","display_name":"Pathwidth","score":0.46651995182037354},{"id":"https://openalex.org/keywords/treewidth","display_name":"Treewidth","score":0.4483371078968048},{"id":"https://openalex.org/keywords/chordal-graph","display_name":"Chordal graph","score":0.41971904039382935},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.3637974262237549},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.1757182478904724}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8193290829658508},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7623245716094971},{"id":"https://openalex.org/C207225210","wikidata":"https://www.wikidata.org/wiki/Q1759539","display_name":"Kernelization","level":3,"score":0.7435369491577148},{"id":"https://openalex.org/C2779760435","wikidata":"https://www.wikidata.org/wiki/Q5396169","display_name":"Minor (academic)","level":2,"score":0.5731929540634155},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5229952335357666},{"id":"https://openalex.org/C102192266","wikidata":"https://www.wikidata.org/wiki/Q4545823","display_name":"1-planar graph","level":4,"score":0.5085195302963257},{"id":"https://openalex.org/C43517604","wikidata":"https://www.wikidata.org/wiki/Q7144893","display_name":"Pathwidth","level":4,"score":0.46651995182037354},{"id":"https://openalex.org/C132569581","wikidata":"https://www.wikidata.org/wiki/Q5067368","display_name":"Treewidth","level":5,"score":0.4483371078968048},{"id":"https://openalex.org/C160446614","wikidata":"https://www.wikidata.org/wiki/Q1322892","display_name":"Chordal graph","level":3,"score":0.41971904039382935},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.3637974262237549},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.1757182478904724},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/3155298","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3155298","pdf_url":null,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Algorithms","raw_type":"journal-article"},{"id":"pmh:oai:HAL:lirmm-01890563v1","is_oa":false,"landing_page_url":"https://hal-lirmm.ccsd.cnrs.fr/lirmm-01890563","pdf_url":null,"source":{"id":"https://openalex.org/S4406922466","display_name":"SPIRE - Sciences Po Institutional REpository","issn_l":null,"issn":null,"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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ACM Transactions on Algorithms, 2018, 14 (1), pp.1-31. ⟨10.1145/3155298⟩","raw_type":"Journal articles"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":66,"referenced_works":["https://openalex.org/W36639738","https://openalex.org/W121729551","https://openalex.org/W167453680","https://openalex.org/W1033655406","https://openalex.org/W1493071618","https://openalex.org/W1505555274","https://openalex.org/W1517036688","https://openalex.org/W1520984708","https://openalex.org/W1524652898","https://openalex.org/W1533217239","https://openalex.org/W1550062525","https://openalex.org/W1570425181","https://openalex.org/W1579510955","https://openalex.org/W1587145473","https://openalex.org/W1604132306","https://openalex.org/W1605936044","https://openalex.org/W1677170854","https://openalex.org/W1787689584","https://openalex.org/W1838629830","https://openalex.org/W1971799322","https://openalex.org/W1973347908","https://openalex.org/W1980466385","https://openalex.org/W1983156760","https://openalex.org/W1987580556","https://openalex.org/W1995725694","https://openalex.org/W2005079828","https://openalex.org/W2007069176","https://openalex.org/W2013522700","https://openalex.org/W2017492235","https://openalex.org/W2018876684","https://openalex.org/W2032762881","https://openalex.org/W2034437384","https://openalex.org/W2035409201","https://openalex.org/W2037713618","https://openalex.org/W2042509875","https://openalex.org/W2045326192","https://openalex.org/W2050352628","https://openalex.org/W2057205207","https://openalex.org/W2076164610","https://openalex.org/W2076551320","https://openalex.org/W2079444475","https://openalex.org/W2087083200","https://openalex.org/W2093762675","https://openalex.org/W2099035480","https://openalex.org/W2107284348","https://openalex.org/W2127485201","https://openalex.org/W2143305437","https://openalex.org/W2145062394","https://openalex.org/W2153676433","https://openalex.org/W2158584754","https://openalex.org/W2165454009","https://openalex.org/W2180988813","https://openalex.org/W2277497915","https://openalex.org/W2339349649","https://openalex.org/W2489198132","https://openalex.org/W2490706771","https://openalex.org/W2563156040","https://openalex.org/W2913688336","https://openalex.org/W2963253390","https://openalex.org/W2963587624","https://openalex.org/W2963838695","https://openalex.org/W2963908100","https://openalex.org/W3002703887","https://openalex.org/W3121437753","https://openalex.org/W4238913085","https://openalex.org/W4389615669"],"related_works":["https://openalex.org/W1480846237","https://openalex.org/W2012687409","https://openalex.org/W1548014395","https://openalex.org/W2029854525","https://openalex.org/W3037533092","https://openalex.org/W143512583","https://openalex.org/W1976463682","https://openalex.org/W4298440031","https://openalex.org/W2949147445","https://openalex.org/W1544821268"],"abstract_inverted_index":{"We":[0,210,434],"give":[1],"the":[2,7,36,91,98,165,177,215,247,283,315,338,345,364,371,391,394,413],"first":[3],"linear":[4,112,125,199,372],"kernels":[5,126],"for":[6,43,139,201,296,445],"D":[8,15,99,106,140,180,202,228,256],"ominating":[9,16,100,107,141,181,203,229,257],"S":[10,17,101,108,142,182,204,230,258],"et":[11,18,102,109,143,183,205,231,259],"and":[12,50,81,103,190,217,292,449],"C":[13,104,226,254],"onnected":[14,105,227,255],"problems":[19,110,123,448],"on":[20,63,96,127,164,176,184,206,236,260,278,326,440],"graphs":[21,95,128,185,239,262,297],"excluding":[22,129,298],"a":[23,28,44,51,73,130,136,145,161,172,198,221,266,279,299,304,327,359,377,382,399,425,431],"fixed":[24,131,300],"graph":[25,48,60,133,301,340,378,395,447],"H":[26,46,58,134,152,158,168,207,237,302,342],"as":[27,135,303],"topological":[29,305],"minor.":[30,137],"In":[31,404],"other":[32,446],"words,":[33],"we":[34,420],"prove":[35,220],"existence":[37],"of":[38,77,94,147,167,179,186,282,290,311,344,355,367,384,393,402,407,410,416,428],"polynomial":[39,233,267],"time":[40],"algorithms":[41],"that,":[42],"given":[45],"-topological-minor-free":[47,59],"G":[49,61,71,84],"positive":[52],"integer":[53],"k":[54,66,79,149,351],",":[55,144,154,169,419],"output":[56],"an":[57,333],"\u2032":[62,85],"O":[64,349],"(":[65,151,157],")":[67,153,159],"vertices":[68,429],"such":[69],"that":[70,121,253,331,412,422,436],"has":[72,86],"(connected)":[74],"dominating":[75],"set":[76],"size":[78,148,166],"if":[80,83],"only":[82],"one.":[87],"Our":[88,273,322],"results":[89,323],"extend":[90],"known":[92,120,241,252],"classes":[93],"which":[97,387],"admit":[111,124,265],"kernels.":[113,373],"Prior":[114],"to":[115,243],"our":[116,244,405],"work,":[117],"it":[118,250,423],"was":[119,240],"these":[122],"apex":[132],"Moreover,":[138],"kernel":[146,200,234,268],"c":[150,156],"where":[155],"is":[160,251,276,341,381,388],"constant":[162,385,400,417,426],"depending":[163],"follows":[170],"from":[171,390,430],"more":[173,222],"general":[174,223],"result":[175],"kernelization":[178,274],"bounded":[187],"degeneracy.":[188],"Alon":[189],"Gutner":[191],"explicitly":[192],"asked":[193],"whether":[194],"one":[195,316],"can":[196],"obtain":[197],"-minor-free":[208,238],"graphs.":[209],"answer":[211],"this":[212,356,437],"question":[213],"in":[214,218,318,358,376,450],"affirmative":[216],"fact":[219],"result.":[224],"For":[225],"no":[232],"even":[235],"prior":[242],"work.":[245],"On":[246],"negative":[248],"side,":[249],"2-degenerated":[261],"does":[263],"not":[264],"unless":[269],"coNP":[270],"\u2286":[271],"NP/poly.":[272],"algorithm":[275],"based":[277,325],"non-trivial":[280],"combination":[281],"following":[284],"ingredients":[285],"\u2022":[286,307,321],"The":[287,353],"structural":[288],"theorem":[289],"Grohe":[291],"Marx":[293],"[STOC":[294],"2012]":[295],"minor;":[306],"A":[308,374],"novel":[309],"notion":[310,366],"protrusions,":[312,368,408],"different":[313,451],"than":[314],"defined":[317],"[FOCS":[319,379],"2009];":[320],"are":[324],"generic":[328],"reduction":[329],"rule":[330,357],"produces":[332],"equivalent":[334],"instance":[335],"(in":[336],"case":[337],"input":[339],"-minor-free)":[343],"problem,":[346],"with":[347,363],"treewidth":[348,386,418],"(\u221a":[350],").":[352],"application":[354],"divide-and-conquer":[360],"fashion,":[361],"together":[362],"new":[365,438],"gives":[369],"us":[370],"protrusion":[375],"2009]":[380],"subgraph":[383,414],"separated":[389],"rest":[392],"by":[396],"at":[397],"most":[398],"number":[401,427],"vertices.":[403],"variant":[406],"instead":[409],"stipulating":[411],"be":[415,443],"ask":[421],"contains":[424],"solution":[432],".":[433],"believe":[435],"take":[439],"protrusions":[441],"would":[442],"useful":[444],"algorithmic":[452],"settings.":[453]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":2}],"updated_date":"2026-03-18T14:38:29.013473","created_date":"2025-10-10T00:00:00"}