{"id":"https://openalex.org/W2964576225","doi":"https://doi.org/10.1137/20m1323369","title":"Parameterized Pre-Coloring Extension and List Coloring Problems","display_name":"Parameterized Pre-Coloring Extension and List Coloring Problems","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W2964576225","doi":"https://doi.org/10.1137/20m1323369","mag":"2964576225"},"language":"en","primary_location":{"id":"doi:10.1137/20m1323369","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m1323369","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"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 Discrete Mathematics","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://eprints.whiterose.ac.uk/175347/1/ListCol.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5044021493","display_name":"Gregory Gutin","orcid":"https://orcid.org/0000-0002-2377-0417"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Gregory Gutin","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5038073617","display_name":"Diptapriyo Majumdar","orcid":"https://orcid.org/0000-0003-2677-4648"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Diptapriyo Majumdar","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5017076947","display_name":"Sebastian Ordyniak","orcid":"https://orcid.org/0000-0003-1935-651X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Sebastian Ordyniak","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5001475076","display_name":"Magnus Wahlstr\u00f6m","orcid":"https://orcid.org/0000-0002-0933-4504"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Magnus Wahlstr\u00f6m","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5044021493"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.1508,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.46084675,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"35","issue":"1","first_page":"575","last_page":"596"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9997000098228455,"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":0.9997000098228455,"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":0.9958000183105469,"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"}},{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9937999844551086,"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":0.8863224983215332},{"id":"https://openalex.org/keywords/parameterized-complexity","display_name":"Parameterized complexity","score":0.8142141699790955},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7175450325012207},{"id":"https://openalex.org/keywords/list-coloring","display_name":"List coloring","score":0.5806841254234314},{"id":"https://openalex.org/keywords/fractional-coloring","display_name":"Fractional coloring","score":0.5537119507789612},{"id":"https://openalex.org/keywords/graph-coloring","display_name":"Graph coloring","score":0.5444844365119934},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5321036577224731},{"id":"https://openalex.org/keywords/complete-coloring","display_name":"Complete coloring","score":0.5089292526245117},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4556763768196106},{"id":"https://openalex.org/keywords/edge-coloring","display_name":"Edge coloring","score":0.44530338048934937},{"id":"https://openalex.org/keywords/clique","display_name":"Clique","score":0.41744425892829895},{"id":"https://openalex.org/keywords/graph-power","display_name":"Graph power","score":0.25543075799942017},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.06241112947463989}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8863224983215332},{"id":"https://openalex.org/C165464430","wikidata":"https://www.wikidata.org/wiki/Q1570441","display_name":"Parameterized complexity","level":2,"score":0.8142141699790955},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7175450325012207},{"id":"https://openalex.org/C199594403","wikidata":"https://www.wikidata.org/wiki/Q1130404","display_name":"List coloring","level":5,"score":0.5806841254234314},{"id":"https://openalex.org/C158319403","wikidata":"https://www.wikidata.org/wiki/Q5477527","display_name":"Fractional coloring","level":5,"score":0.5537119507789612},{"id":"https://openalex.org/C76946457","wikidata":"https://www.wikidata.org/wiki/Q504843","display_name":"Graph coloring","level":3,"score":0.5444844365119934},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5321036577224731},{"id":"https://openalex.org/C21642379","wikidata":"https://www.wikidata.org/wiki/Q3342988","display_name":"Complete coloring","level":5,"score":0.5089292526245117},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4556763768196106},{"id":"https://openalex.org/C123809776","wikidata":"https://www.wikidata.org/wiki/Q1050972","display_name":"Edge coloring","level":5,"score":0.44530338048934937},{"id":"https://openalex.org/C2777035058","wikidata":"https://www.wikidata.org/wiki/Q1662634","display_name":"Clique","level":2,"score":0.41744425892829895},{"id":"https://openalex.org/C149530733","wikidata":"https://www.wikidata.org/wiki/Q5597091","display_name":"Graph power","level":4,"score":0.25543075799942017},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.06241112947463989}],"mesh":[],"locations_count":8,"locations":[{"id":"doi:10.1137/20m1323369","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m1323369","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"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 Discrete Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:eprints.whiterose.ac.uk:175347","is_oa":true,"landing_page_url":null,"pdf_url":"https://eprints.whiterose.ac.uk/175347/1/ListCol.pdf","source":{"id":"https://openalex.org/S4306400854","display_name":"White Rose Research Online (University of Leeds, The University of Sheffield, University of York)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2800616092","host_organization_name":"White Rose University Consortium","host_organization_lineage":["https://openalex.org/I2800616092"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Article"},{"id":"pmh:oai:arXiv.org:1907.12061","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1907.12061","pdf_url":"https://arxiv.org/pdf/1907.12061","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"mag:2964576225","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1907.12061","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:drops-oai.dagstuhl.de:11880","is_oa":true,"landing_page_url":"https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.STACS.2020.19","pdf_url":null,"source":{"id":"https://openalex.org/S4377196569","display_name":"DROPS (Schloss Dagstuhl \u2013 Leibniz Center for Informatics)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2799853480","host_organization_name":"Schloss Dagstuhl \u2013 Leibniz Center for Informatics","host_organization_lineage":["https://openalex.org/I2799853480"],"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":"InProceedings"},{"id":"doi:10.48550/arxiv.1907.12061","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1907.12061","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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"},{"id":"doi:10.4230/lipics.stacs.2020.19","is_oa":true,"landing_page_url":"https://doi.org/10.4230/lipics.stacs.2020.19","pdf_url":null,"source":{"id":"https://openalex.org/S7407052059","display_name":"Dagstuhl Research Online Publication Server","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":""},{"id":"mag:3143775863","is_oa":false,"landing_page_url":"http://dblp.uni-trier.de/db/conf/stacs/stacs2020.html#GutinMOW20","pdf_url":null,"source":{"id":"https://openalex.org/S4306421002","display_name":"Symposium on Theoretical Aspects of Computer Science","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":"conference"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":"Symposium on Theoretical Aspects of Computer Science","raw_type":null}],"best_oa_location":{"id":"pmh:oai:eprints.whiterose.ac.uk:175347","is_oa":true,"landing_page_url":null,"pdf_url":"https://eprints.whiterose.ac.uk/175347/1/ListCol.pdf","source":{"id":"https://openalex.org/S4306400854","display_name":"White Rose Research Online (University of Leeds, The University of Sheffield, University of York)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2800616092","host_organization_name":"White Rose University Consortium","host_organization_lineage":["https://openalex.org/I2800616092"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1762991518","display_name":null,"funder_award_id":"EP/V00252X/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2964576225.pdf","grobid_xml":"https://content.openalex.org/works/W2964576225.grobid-xml"},"referenced_works_count":31,"referenced_works":["https://openalex.org/W345637930","https://openalex.org/W1493574560","https://openalex.org/W1558630420","https://openalex.org/W1572898177","https://openalex.org/W1599026900","https://openalex.org/W1796863810","https://openalex.org/W1909439116","https://openalex.org/W1974068132","https://openalex.org/W2011039300","https://openalex.org/W2052712469","https://openalex.org/W2059451253","https://openalex.org/W2073438136","https://openalex.org/W2074359677","https://openalex.org/W2080132708","https://openalex.org/W2082180697","https://openalex.org/W2089191641","https://openalex.org/W2116087731","https://openalex.org/W2130673833","https://openalex.org/W2156678756","https://openalex.org/W2335915014","https://openalex.org/W2404960361","https://openalex.org/W2501984361","https://openalex.org/W2596605817","https://openalex.org/W2794218106","https://openalex.org/W2888011314","https://openalex.org/W2914414140","https://openalex.org/W2958063902","https://openalex.org/W2962907397","https://openalex.org/W2962956065","https://openalex.org/W3093326885","https://openalex.org/W3137355438"],"related_works":["https://openalex.org/W2740119984","https://openalex.org/W2962785990","https://openalex.org/W1985480794","https://openalex.org/W1519122062","https://openalex.org/W1573088576","https://openalex.org/W2293317078","https://openalex.org/W1650615047","https://openalex.org/W759230654","https://openalex.org/W2008479576","https://openalex.org/W848155213","https://openalex.org/W2004394201","https://openalex.org/W1480334394","https://openalex.org/W3082824253","https://openalex.org/W2953040307","https://openalex.org/W2035539871","https://openalex.org/W2001583774","https://openalex.org/W1546517575","https://openalex.org/W2963647191","https://openalex.org/W1640956769","https://openalex.org/W3167087040"],"abstract_inverted_index":{"Golovach,":[0],"Paulusma,":[1],"and":[2,5,52,84,122,155,170,201,203,216],"Song":[3],"[Inform.":[4],"Comput.,":[6],"237":[7],"(2014),":[8],"pp.":[9,146],"204--214]":[10],"asked":[11,156],"to":[12,101,206],"determine":[13],"the":[14,18,149,210],"parameterized":[15,21],"complexity":[16],"of":[17,39,47,56,79,105,140,174,209],"following":[19,150],"problems":[20],"by":[22],"$k$:":[23],"1.":[24],"Given":[25,71,163],"a":[26,29,37,45,53,66,72,75,85,102,128,160,164,171,187,195,204,207],"graph":[27,73,165],"$G$,":[28,51,74,83,166],"clique":[30,34,76],"modulator":[31,35,77],"$D$":[32,78],"(a":[33],"is":[36,152,186],"set":[38],"vertices,":[40],"whose":[41],"removal":[42],"results":[43],"in":[44],"clique)":[46],"size":[48,80],"$k$":[49,81],"for":[50,58,82,91,123,178,191],"list":[54,68,172,189],"$L(v)$":[55,173],"colors":[57,109,177,202],"every":[59,179],"$v\\in":[60],"V(G)$,":[61],"decide":[62,95,183],"whether":[63,96,157,184],"$G$":[64,106],"has":[65],"proper":[67,103,188],"coloring.":[69],"2.":[70],"pre-coloring":[86],"$\\lambda_P:":[87],"X":[88],"\\rightarrow":[89],"Q$":[90],"$X":[92],"\\subseteq":[93],"V(G),$":[94,182],"$\\lambda_P$":[97],"can":[98],"be":[99],"extended":[100],"coloring":[104,190],"using":[107],"only":[108],"from":[110],"$Q$.":[111],"For":[112],"problem":[113,124,151,211],"1":[114],"we":[115,126],"design":[116],"an":[117,167],"${\\mathcal":[118,198,213,217],"O}^*(2^k)$-time":[119],"randomized":[120],"algorithm":[121],"2":[125],"obtain":[127,194],"kernel":[129,196],"with":[130,197,212],"at":[131],"most":[132],"$3k$":[133],"vertices.":[134],"Banik":[135],"et":[136],"al.":[137],"[in":[138],"Proceedings":[139],"IWOCA":[141],"2019,":[142,145],"Springer,":[143],"Berlin,":[144],"61--69]":[147],"proved":[148],"fixed-parameter":[153],"tractable":[154],"it":[158],"admits":[159],"polynomial":[161],"kernel:":[162],"integer":[168],"$k$,":[169],"exactly":[175],"$n-k$":[176],"$v":[180],"\\in":[181],"there":[185],"$G$.":[192],"We":[193],"O}(k^2)$":[199,218],"vertices":[200,215],"compression":[205],"variation":[208],"O}(k)$":[214],"colors.":[219]},"counts_by_year":[{"year":2022,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}
