{"id":"https://openalex.org/W3021396884","doi":"https://doi.org/10.1007/s00453-021-00890-z","title":"Structural Parameterizations of Clique Coloring","display_name":"Structural Parameterizations of Clique Coloring","publication_year":2021,"publication_date":"2021-11-29","ids":{"openalex":"https://openalex.org/W3021396884","doi":"https://doi.org/10.1007/s00453-021-00890-z","mag":"3021396884"},"language":"en","primary_location":{"id":"doi:10.1007/s00453-021-00890-z","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00453-021-00890-z","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00453-021-00890-z.pdf","source":{"id":"https://openalex.org/S89324355","display_name":"Algorithmica","issn_l":"0178-4617","issn":["0178-4617","1432-0541"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithmica","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s00453-021-00890-z.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5039626432","display_name":"Lars Jaffke","orcid":"https://orcid.org/0000-0003-4856-5863"},"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":"Lars Jaffke","raw_affiliation_strings":["University of Bergen, Bergen, Norway","University Of Bergen;"],"affiliations":[{"raw_affiliation_string":"University of Bergen, Bergen, Norway","institution_ids":["https://openalex.org/I4432739"]},{"raw_affiliation_string":"University Of Bergen;","institution_ids":["https://openalex.org/I4432739"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5091558578","display_name":"Paloma T. Lima","orcid":null},"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":"Paloma T. Lima","raw_affiliation_strings":["University of Bergen, Bergen, Norway","University Of Bergen;"],"affiliations":[{"raw_affiliation_string":"University of Bergen, Bergen, Norway","institution_ids":["https://openalex.org/I4432739"]},{"raw_affiliation_string":"University Of Bergen;","institution_ids":["https://openalex.org/I4432739"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5031210702","display_name":"Geevarghese Philip","orcid":"https://orcid.org/0000-0003-0717-7303"},"institutions":[{"id":"https://openalex.org/I19149307","display_name":"Chennai Mathematical Institute","ror":"https://ror.org/04zp24820","country_code":"IN","type":"education","lineage":["https://openalex.org/I19149307"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Geevarghese Philip","raw_affiliation_strings":["Chennai Mathematical Institute, Chennai, India","UMI ReLaX, Chennai, India","Chennai Mathematical Institute"],"affiliations":[{"raw_affiliation_string":"Chennai Mathematical Institute, Chennai, India","institution_ids":["https://openalex.org/I19149307"]},{"raw_affiliation_string":"UMI ReLaX, Chennai, India","institution_ids":[]},{"raw_affiliation_string":"Chennai Mathematical Institute","institution_ids":["https://openalex.org/I19149307"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5039626432"],"corresponding_institution_ids":["https://openalex.org/I4432739"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":{"value":2290,"currency":"EUR","value_usd":2890},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.01754203,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"84","issue":"2","first_page":"273","last_page":"303"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","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"}},"topics":[{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","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/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9847999811172485,"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/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.972100019454956,"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":0.8158264756202698},{"id":"https://openalex.org/keywords/clique-graph","display_name":"Clique graph","score":0.7104440927505493},{"id":"https://openalex.org/keywords/monochromatic-color","display_name":"Monochromatic color","score":0.7040947675704956},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.680835485458374},{"id":"https://openalex.org/keywords/parameterized-complexity","display_name":"Parameterized complexity","score":0.6692286729812622},{"id":"https://openalex.org/keywords/clique","display_name":"Clique","score":0.5692442655563354},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4976673424243927},{"id":"https://openalex.org/keywords/graph-coloring","display_name":"Graph coloring","score":0.47882798314094543},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4706403911113739},{"id":"https://openalex.org/keywords/fractional-coloring","display_name":"Fractional coloring","score":0.4700514078140259},{"id":"https://openalex.org/keywords/clique-problem","display_name":"Clique problem","score":0.4196985960006714},{"id":"https://openalex.org/keywords/chordal-graph","display_name":"Chordal graph","score":0.19460326433181763},{"id":"https://openalex.org/keywords/graph-power","display_name":"Graph power","score":0.16849425435066223},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.14802289009094238},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08269011974334717},{"id":"https://openalex.org/keywords/1-planar-graph","display_name":"1-planar graph","score":0.07436299324035645}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8158264756202698},{"id":"https://openalex.org/C189239283","wikidata":"https://www.wikidata.org/wiki/Q17101022","display_name":"Clique graph","level":5,"score":0.7104440927505493},{"id":"https://openalex.org/C40833965","wikidata":"https://www.wikidata.org/wiki/Q6901438","display_name":"Monochromatic color","level":2,"score":0.7040947675704956},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.680835485458374},{"id":"https://openalex.org/C165464430","wikidata":"https://www.wikidata.org/wiki/Q1570441","display_name":"Parameterized complexity","level":2,"score":0.6692286729812622},{"id":"https://openalex.org/C2777035058","wikidata":"https://www.wikidata.org/wiki/Q1662634","display_name":"Clique","level":2,"score":0.5692442655563354},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4976673424243927},{"id":"https://openalex.org/C76946457","wikidata":"https://www.wikidata.org/wiki/Q504843","display_name":"Graph coloring","level":3,"score":0.47882798314094543},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4706403911113739},{"id":"https://openalex.org/C158319403","wikidata":"https://www.wikidata.org/wiki/Q5477527","display_name":"Fractional coloring","level":5,"score":0.4700514078140259},{"id":"https://openalex.org/C150997102","wikidata":"https://www.wikidata.org/wiki/Q1196873","display_name":"Clique problem","level":5,"score":0.4196985960006714},{"id":"https://openalex.org/C160446614","wikidata":"https://www.wikidata.org/wiki/Q1322892","display_name":"Chordal graph","level":3,"score":0.19460326433181763},{"id":"https://openalex.org/C149530733","wikidata":"https://www.wikidata.org/wiki/Q5597091","display_name":"Graph power","level":4,"score":0.16849425435066223},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.14802289009094238},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08269011974334717},{"id":"https://openalex.org/C102192266","wikidata":"https://www.wikidata.org/wiki/Q4545823","display_name":"1-planar graph","level":4,"score":0.07436299324035645},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0}],"mesh":[],"locations_count":7,"locations":[{"id":"doi:10.1007/s00453-021-00890-z","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00453-021-00890-z","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00453-021-00890-z.pdf","source":{"id":"https://openalex.org/S89324355","display_name":"Algorithmica","issn_l":"0178-4617","issn":["0178-4617","1432-0541"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithmica","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2005.04733","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2005.04733","pdf_url":"https://arxiv.org/pdf/2005.04733","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:3021396884","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/2005.04733.pdf","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:bora.uib.no:11250/2761078","is_oa":true,"landing_page_url":"https://hdl.handle.net/11250/2761078","pdf_url":null,"source":{"id":"https://openalex.org/S4306401716","display_name":"Duo Research Archive (University of Oslo)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I184942183","host_organization_name":"University of Oslo","host_organization_lineage":["https://openalex.org/I184942183"],"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":"Leibniz International Proceedings in Informatics","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:drops-oai.dagstuhl.de:12715","is_oa":true,"landing_page_url":"https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.MFCS.2020.49","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.2005.04733","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2005.04733","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.mfcs.2020.49","is_oa":true,"landing_page_url":"https://doi.org/10.4230/lipics.mfcs.2020.49","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":""}],"best_oa_location":{"id":"doi:10.1007/s00453-021-00890-z","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00453-021-00890-z","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00453-021-00890-z.pdf","source":{"id":"https://openalex.org/S89324355","display_name":"Algorithmica","issn_l":"0178-4617","issn":["0178-4617","1432-0541"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithmica","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320316417","display_name":"Trond Mohn stiftelse","ror":null},{"id":"https://openalex.org/F4320323078","display_name":"Universitetet i Bergen","ror":"https://ror.org/03zga2b32"},{"id":"https://openalex.org/F4320323898","display_name":"Bergens Forskningsstiftelse","ror":"https://ror.org/04efaep75"},{"id":"https://openalex.org/F4320326507","display_name":"Haukeland\u00a0Universitetssjukehus","ror":"https://ror.org/03np4e098"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3021396884.pdf","grobid_xml":"https://content.openalex.org/works/W3021396884.grobid-xml"},"referenced_works_count":35,"referenced_works":["https://openalex.org/W16620566","https://openalex.org/W115586599","https://openalex.org/W143512583","https://openalex.org/W1553493487","https://openalex.org/W1554387854","https://openalex.org/W1557323685","https://openalex.org/W1569752386","https://openalex.org/W1750559240","https://openalex.org/W1985572324","https://openalex.org/W1987622756","https://openalex.org/W1993328543","https://openalex.org/W1994887153","https://openalex.org/W1995725694","https://openalex.org/W2021112829","https://openalex.org/W2022194745","https://openalex.org/W2026705714","https://openalex.org/W2045326192","https://openalex.org/W2056959228","https://openalex.org/W2069297892","https://openalex.org/W2079160463","https://openalex.org/W2079306871","https://openalex.org/W2089158353","https://openalex.org/W2116087731","https://openalex.org/W2116983645","https://openalex.org/W2134386654","https://openalex.org/W2256089709","https://openalex.org/W2404960361","https://openalex.org/W2567596596","https://openalex.org/W2580171847","https://openalex.org/W2596432422","https://openalex.org/W2611093227","https://openalex.org/W2914414140","https://openalex.org/W4213368513","https://openalex.org/W4232896595","https://openalex.org/W4251857585"],"related_works":["https://openalex.org/W2783392358","https://openalex.org/W630596220","https://openalex.org/W2996395679","https://openalex.org/W3043450801","https://openalex.org/W2933542871","https://openalex.org/W2963344993","https://openalex.org/W2056959228","https://openalex.org/W904401343","https://openalex.org/W2552426435","https://openalex.org/W2588376139","https://openalex.org/W2513754651","https://openalex.org/W3183500635","https://openalex.org/W2559027997","https://openalex.org/W2015151531","https://openalex.org/W2992570028","https://openalex.org/W2508981974","https://openalex.org/W2110889806","https://openalex.org/W2585997002","https://openalex.org/W2767947629","https://openalex.org/W1792036429"],"abstract_inverted_index":{"Abstract":[0],"A":[1],"clique":[2,19,42],"coloring":[3,43],"of":[4,10,26,29,96,100,132],"a":[5,37,41,115],"graph":[6,39,90],"is":[7,20,91,134,138],"an":[8,63],"assignment":[9],"colors":[11,133],"to":[12],"its":[13,97],"vertices":[14],"such":[15],"that":[16,128],"no":[17],"maximal":[18],"monochromatic.":[21],"We":[22,110,125],"initiate":[23],"the":[24,30,88,120,130],"study":[25],"structural":[27],"parameterizations":[28],"Clique":[31,136],"Coloring":[32,137],"problem":[33],"which":[34],"asks":[35],"whether":[36],"given":[38,92],"has":[40],"with":[44,94,114],"q":[45],"colors.":[46],"For":[47],"fixed":[48],"$$q":[49],"\\ge":[50],"2$$":[51],"<mml:math":[52,68,105,141],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">":[53,69,106,142],"<mml:mrow>":[54,70,75],"<mml:mi>q</mml:mi>":[55,78],"<mml:mo>\u2265</mml:mo>":[56],"<mml:mn>2</mml:mn>":[57],"</mml:mrow>":[58,82,83],"</mml:math>":[59,84,108,144],",":[60],"we":[61],"give":[62],"$$\\mathscr":[64],"{O}^{\\star":[65],"}(q^{{\\mathsf":[66],"{tw}}})$$":[67],"<mml:msup>":[71,77],"<mml:mi>O</mml:mi>":[72],"<mml:mo>\u22c6</mml:mo>":[73],"</mml:msup>":[74,80],"<mml:mo>(</mml:mo>":[76],"<mml:mi>tw</mml:mi>":[79,107],"<mml:mo>)</mml:mo>":[81],"-time":[85],"algorithm":[86],"when":[87],"input":[89],"together":[93],"one":[95],"tree":[98],"decompositions":[99],"width":[101],"$${\\mathsf":[102],"{tw}}":[103],"$$":[104],".":[109],"complement":[111],"this":[112],"result":[113],"matching":[116],"lower":[117],"bound":[118],"under":[119],"Strong":[121],"Exponential":[122],"Time":[123],"Hypothesis.":[124],"furthermore":[126],"show":[127],"(when":[129],"number":[131],"unbounded)":[135],"$$\\mathsf":[139],"{XP}$$":[140],"<mml:mi>XP</mml:mi>":[143],"parameterized":[145],"by":[146],"clique-width.":[147]},"counts_by_year":[],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2025-10-10T00:00:00"}