{"id":"https://openalex.org/W4385892758","doi":"https://doi.org/10.61091/ars156-06","title":"Royal Colorings of Graphs","display_name":"Royal Colorings of Graphs","publication_year":2023,"publication_date":"2023-07-31","ids":{"openalex":"https://openalex.org/W4385892758","doi":"https://doi.org/10.61091/ars156-06"},"language":"en","primary_location":{"id":"doi:10.61091/ars156-06","is_oa":false,"landing_page_url":"http://doi.org/10.61091/ars156-06","pdf_url":null,"source":{"id":"https://openalex.org/S73158690","display_name":"Ars Combinatoria","issn_l":"0381-7032","issn":["0381-7032","2817-5204"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4323439501","host_organization_name":"Charles Babbage Research Centre","host_organization_lineage":["https://openalex.org/P4323439501"],"host_organization_lineage_names":["Charles Babbage Research Centre"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Ars Combinatoria","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/A5076706719","display_name":"Gary Chartrand","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Gary Chartrand","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5054734524","display_name":"James Hallas","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"James Hallas","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5100405781","display_name":"Ping Zhang","orcid":"https://orcid.org/0000-0001-9163-6191"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ping Zhang","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"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":0.16355825,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"156","issue":null,"first_page":"51","last_page":"63"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9865000247955322,"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/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9865000247955322,"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":0.8682906627655029},{"id":"https://openalex.org/keywords/edge-coloring","display_name":"Edge coloring","score":0.776953935623169},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7646424770355225},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.6872925162315369},{"id":"https://openalex.org/keywords/complete-coloring","display_name":"Complete coloring","score":0.6634100675582886},{"id":"https://openalex.org/keywords/fractional-coloring","display_name":"Fractional coloring","score":0.6507939100265503},{"id":"https://openalex.org/keywords/list-coloring","display_name":"List coloring","score":0.5952021479606628},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5087471604347229},{"id":"https://openalex.org/keywords/greedy-coloring","display_name":"Greedy coloring","score":0.4699830114841461},{"id":"https://openalex.org/keywords/graph-coloring","display_name":"Graph coloring","score":0.46381112933158875},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3968052268028259},{"id":"https://openalex.org/keywords/graph-power","display_name":"Graph power","score":0.15323173999786377},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.08498471975326538}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8682906627655029},{"id":"https://openalex.org/C123809776","wikidata":"https://www.wikidata.org/wiki/Q1050972","display_name":"Edge coloring","level":5,"score":0.776953935623169},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7646424770355225},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.6872925162315369},{"id":"https://openalex.org/C21642379","wikidata":"https://www.wikidata.org/wiki/Q3342988","display_name":"Complete coloring","level":5,"score":0.6634100675582886},{"id":"https://openalex.org/C158319403","wikidata":"https://www.wikidata.org/wiki/Q5477527","display_name":"Fractional coloring","level":5,"score":0.6507939100265503},{"id":"https://openalex.org/C199594403","wikidata":"https://www.wikidata.org/wiki/Q1130404","display_name":"List coloring","level":5,"score":0.5952021479606628},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5087471604347229},{"id":"https://openalex.org/C38767284","wikidata":"https://www.wikidata.org/wiki/Q5601715","display_name":"Greedy coloring","level":5,"score":0.4699830114841461},{"id":"https://openalex.org/C76946457","wikidata":"https://www.wikidata.org/wiki/Q504843","display_name":"Graph coloring","level":3,"score":0.46381112933158875},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3968052268028259},{"id":"https://openalex.org/C149530733","wikidata":"https://www.wikidata.org/wiki/Q5597091","display_name":"Graph power","level":4,"score":0.15323173999786377},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.08498471975326538}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.61091/ars156-06","is_oa":false,"landing_page_url":"http://doi.org/10.61091/ars156-06","pdf_url":null,"source":{"id":"https://openalex.org/S73158690","display_name":"Ars Combinatoria","issn_l":"0381-7032","issn":["0381-7032","2817-5204"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4323439501","host_organization_name":"Charles Babbage Research Centre","host_organization_lineage":["https://openalex.org/P4323439501"],"host_organization_lineage_names":["Charles Babbage Research Centre"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Ars Combinatoria","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":0,"referenced_works":[],"related_works":["https://openalex.org/W4311345810","https://openalex.org/W4291316360","https://openalex.org/W4297911588","https://openalex.org/W2585997002","https://openalex.org/W3169197204","https://openalex.org/W2793500002","https://openalex.org/W2046652778","https://openalex.org/W2380525562","https://openalex.org/W2385428710","https://openalex.org/W4229747356"],"abstract_inverted_index":{"For":[0],"a":[1,5,9,37,76,87,90],"graph":[2,88],"\\(G\\)":[3,14,32],"and":[4],"positive":[6,82],"integer":[7,83],"\\(k\\),":[8],"royal":[10,78,92,97,109],"\\(k\\)-edge":[11],"coloring":[12,40,68,74],"of":[13,18,21,31,53,56,58,99,111],"is":[15,50,69,75,94,106],"an":[16],"assignment":[17],"nonempty":[19],"subsets":[20],"the":[22,29,43,51,54,59,65,72,95,100],"set":[23],"\\(\\{1,":[24],"2,":[25],"\\ldots,":[26],"k\\}\\)":[27],"to":[28,36,46],"edges":[30,60],"that":[33],"gives":[34],"rise":[35],"proper":[38],"vertex":[39,48,67],"in":[41],"which":[42,86],"color":[44],"assigned":[45],"each":[47],"\\(v\\)":[49],"union":[52],"sets":[55],"colors":[57],"incident":[61],"with":[62],"\\(v\\).":[63],"If":[64],"resulting":[66],"vertex-distinguishing,":[70],"then":[71],"edge":[73],"strong":[77,91,96,108],"\\(k\\)-coloring.":[79],"The":[80,102],"minimum":[81],"\\(k\\)":[84],"for":[85],"has":[89],"\\(k\\)-coloring":[93],"index":[98],"graph.":[101],"primary":[103],"emphasis":[104],"here":[105],"on":[107],"colorings":[110],"trees.":[112]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2023-08-18T00:00:00"}
