{"id":"https://openalex.org/W2023072196","doi":"https://doi.org/10.1137/060675927","title":"Matchings and Nonrainbow Colorings","display_name":"Matchings and Nonrainbow Colorings","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W2023072196","doi":"https://doi.org/10.1137/060675927","mag":"2023072196"},"language":"en","primary_location":{"id":"doi:10.1137/060675927","is_oa":false,"landing_page_url":"https://doi.org/10.1137/060675927","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":"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/A5073630443","display_name":"Zden\u0115k Dvo\u0159\u00e1k","orcid":"https://orcid.org/0000-0002-8308-9746"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Zden\u011bk Dvo\u0159\u00e1k","raw_affiliation_strings":["rakdver@kam.mff.cuni.cz and kral@kam.mff.cuni.cz#TAB#"],"affiliations":[{"raw_affiliation_string":"rakdver@kam.mff.cuni.cz and kral@kam.mff.cuni.cz#TAB#","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065030044","display_name":"Stanislav Jendrol\u2032","orcid":"https://orcid.org/0000-0001-6869-2793"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Stanislav Jendrol'","raw_affiliation_strings":["stanislav.jendrol@upjs.sk#TAB#"],"affiliations":[{"raw_affiliation_string":"stanislav.jendrol@upjs.sk#TAB#","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5027559065","display_name":"Daniel Kr\u00e1l\u034f\u030c","orcid":"https://orcid.org/0000-0001-8680-0890"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Daniel Kr\u00e1l'","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5077585544","display_name":"Gyula Pap","orcid":"https://orcid.org/0000-0002-1516-5567"},"institutions":[{"id":"https://openalex.org/I106118109","display_name":"E\u00f6tv\u00f6s Lor\u00e1nd University","ror":"https://ror.org/01jsq2704","country_code":"HU","type":"education","lineage":["https://openalex.org/I106118109"]}],"countries":["HU"],"is_corresponding":false,"raw_author_name":"Gyula Pap","raw_affiliation_strings":["gyuszko@cs.elte.hu#TAB#"],"affiliations":[{"raw_affiliation_string":"gyuszko@cs.elte.hu#TAB#","institution_ids":["https://openalex.org/I106118109"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5073630443"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.3535,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.60905808,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"23","issue":"1","first_page":"344","last_page":"348"},"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/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9980999827384949,"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":0.9973999857902527,"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":0.9117377996444702},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7209691405296326},{"id":"https://openalex.org/keywords/fractional-coloring","display_name":"Fractional coloring","score":0.555812418460846},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.5533636212348938},{"id":"https://openalex.org/keywords/rainbow","display_name":"Rainbow","score":0.5378105044364929},{"id":"https://openalex.org/keywords/complete-coloring","display_name":"Complete coloring","score":0.5235623717308044},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.48859697580337524},{"id":"https://openalex.org/keywords/edge-coloring","display_name":"Edge coloring","score":0.43802422285079956},{"id":"https://openalex.org/keywords/matching","display_name":"Matching (statistics)","score":0.43197423219680786},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3933256268501282},{"id":"https://openalex.org/keywords/graph-power","display_name":"Graph power","score":0.36935684084892273},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.10731500387191772},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08713862299919128}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.9117377996444702},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7209691405296326},{"id":"https://openalex.org/C158319403","wikidata":"https://www.wikidata.org/wiki/Q5477527","display_name":"Fractional coloring","level":5,"score":0.555812418460846},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.5533636212348938},{"id":"https://openalex.org/C2776558979","wikidata":"https://www.wikidata.org/wiki/Q1052","display_name":"Rainbow","level":2,"score":0.5378105044364929},{"id":"https://openalex.org/C21642379","wikidata":"https://www.wikidata.org/wiki/Q3342988","display_name":"Complete coloring","level":5,"score":0.5235623717308044},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.48859697580337524},{"id":"https://openalex.org/C123809776","wikidata":"https://www.wikidata.org/wiki/Q1050972","display_name":"Edge coloring","level":5,"score":0.43802422285079956},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.43197423219680786},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3933256268501282},{"id":"https://openalex.org/C149530733","wikidata":"https://www.wikidata.org/wiki/Q5597091","display_name":"Graph power","level":4,"score":0.36935684084892273},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.10731500387191772},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08713862299919128},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/060675927","is_oa":false,"landing_page_url":"https://doi.org/10.1137/060675927","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:CiteSeerX.psu:10.1.1.143.318","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.143.318","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://iti.mff.cuni.cz/series/files/iti319.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1604434206","https://openalex.org/W1963621458","https://openalex.org/W1977852522","https://openalex.org/W1978553161","https://openalex.org/W1990093945","https://openalex.org/W2000703413","https://openalex.org/W2008383657","https://openalex.org/W2012246276","https://openalex.org/W2036246085","https://openalex.org/W2047307924","https://openalex.org/W2069662110","https://openalex.org/W2118970668","https://openalex.org/W2137217287","https://openalex.org/W2155851327","https://openalex.org/W2163628408","https://openalex.org/W2317303422"],"related_works":["https://openalex.org/W2585997002","https://openalex.org/W398688634","https://openalex.org/W3177216142","https://openalex.org/W55620969","https://openalex.org/W4255910752","https://openalex.org/W2603175250","https://openalex.org/W3091797996","https://openalex.org/W2062365033","https://openalex.org/W4296859768","https://openalex.org/W2903114345"],"abstract_inverted_index":{"We":[0],"show":[1],"that":[2,8,23],"the":[3,43,52,55,59],"maximum":[4,56],"number":[5,44],"of":[6,16,29,45,47,54,58],"colors":[7,32],"can":[9],"be":[10],"used":[11],"in":[12],"a":[13,17,25],"vertex":[14],"coloring":[15],"cubic":[18],"3-connected":[19],"plane":[20],"graph":[21,61],"G":[22,48],"avoids":[24],"face":[26],"with":[27],"vertices":[28,46],"mutually":[30],"distinct":[31],"(a":[33],"rainbow":[34],"face)":[35],"is":[36,42,51],"equal":[37],"to":[38],"$\\frac{n}{2}+\\mu^*-2$,":[39],"where":[40],"n":[41],"and":[49],"$\\mu^*$":[50],"size":[53],"matching":[57],"dual":[60],"$G^*$.":[62]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}