{"id":"https://openalex.org/W4391127440","doi":"https://doi.org/10.61091/ars157-08","title":"Total Dominator Colorings of P 4 -reducible and P 4 -tidy Graphs","display_name":"Total Dominator Colorings of P 4 -reducible and P 4 -tidy Graphs","publication_year":2023,"publication_date":"2023-12-31","ids":{"openalex":"https://openalex.org/W4391127440","doi":"https://doi.org/10.61091/ars157-08"},"language":"en","primary_location":{"id":"doi:10.61091/ars157-08","is_oa":true,"landing_page_url":"http://dx.doi.org/10.61091/ars157-08","pdf_url":"https://combinatorialpress.com/article/ars/Total-Dominator-Colorings-of-P_4-reducible-and-P_4-tidy-Graphs.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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":true,"oa_status":"hybrid","oa_url":"https://combinatorialpress.com/article/ars/Total-Dominator-Colorings-of-P_4-reducible-and-P_4-tidy-Graphs.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5102160361","display_name":"Wei Ge","orcid":"https://orcid.org/0009-0007-3036-9422"},"institutions":[{"id":"https://openalex.org/I119203015","display_name":"Shandong University of Technology","ror":"https://ror.org/02mr3ar13","country_code":"CN","type":"education","lineage":["https://openalex.org/I119203015"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wei Ge","raw_affiliation_strings":["Shandong University of Engineering and Vocational Technology, Ji'nan, Shandong, China"],"affiliations":[{"raw_affiliation_string":"Shandong University of Engineering and Vocational Technology, Ji'nan, Shandong, China","institution_ids":["https://openalex.org/I119203015"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5031593737","display_name":"Jun Yue","orcid":"https://orcid.org/0000-0002-8564-570X"},"institutions":[{"id":"https://openalex.org/I198091727","display_name":"Tianjin Polytechnic University","ror":"https://ror.org/00xsr9m91","country_code":"CN","type":"education","lineage":["https://openalex.org/I198091727"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jun Yue","raw_affiliation_strings":["School of Mathematics Science, Tiangong University, Tianjin, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics Science, Tiangong University, Tianjin, China","institution_ids":["https://openalex.org/I198091727"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5031593737"],"corresponding_institution_ids":["https://openalex.org/I198091727"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.26934827,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"157","issue":null,"first_page":"81","last_page":"88"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.994700014591217,"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":0.994700014591217,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.991599977016449,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9117000102996826,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8674236536026001},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7474337816238403},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3236868977546692}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8674236536026001},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7474337816238403},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3236868977546692}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.61091/ars157-08","is_oa":true,"landing_page_url":"http://dx.doi.org/10.61091/ars157-08","pdf_url":"https://combinatorialpress.com/article/ars/Total-Dominator-Colorings-of-P_4-reducible-and-P_4-tidy-Graphs.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Ars Combinatoria","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.61091/ars157-08","is_oa":true,"landing_page_url":"http://dx.doi.org/10.61091/ars157-08","pdf_url":"https://combinatorialpress.com/article/ars/Total-Dominator-Colorings-of-P_4-reducible-and-P_4-tidy-Graphs.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Ars Combinatoria","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4391127440.pdf"},"referenced_works_count":26,"referenced_works":["https://openalex.org/W560340026","https://openalex.org/W749701033","https://openalex.org/W1504651169","https://openalex.org/W1566478048","https://openalex.org/W1809657861","https://openalex.org/W1942384645","https://openalex.org/W1988737472","https://openalex.org/W2015832089","https://openalex.org/W2028775537","https://openalex.org/W2040514941","https://openalex.org/W2065581757","https://openalex.org/W2080357955","https://openalex.org/W2143398735","https://openalex.org/W2597434518","https://openalex.org/W2736906274","https://openalex.org/W6615502397","https://openalex.org/W6622179640","https://openalex.org/W6634086095","https://openalex.org/W6654254890","https://openalex.org/W6657519525","https://openalex.org/W6670544029","https://openalex.org/W6681072880","https://openalex.org/W6681750113","https://openalex.org/W6734901369","https://openalex.org/W6741408820","https://openalex.org/W7000077684"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2911598644","https://openalex.org/W2042127053"],"abstract_inverted_index":{"A":[0],"total":[1,34,54,73],"dominator":[2,35,55,74],"coloring":[3,12,56,75],"of":[4,13,16,22,29,44,50,57],"G":[5,17,23,42,45,58],"without":[6],"isolated":[7],"vertex":[8,21,28],"is":[9,24,46],"a":[10],"proper":[11],"the":[14,47,66,72],"vertices":[15],"in":[18],"which":[19],"each":[20],"adjacent":[25],"to":[26,70],"every":[27],"some":[30],"color":[31],"class.":[32],"The":[33],"chromatic":[36],"number":[37,49,76],"\u03c7":[38],"t":[39],"d":[40],"(":[41],")":[43],"minimum":[48],"colors":[51],"among":[52],"all":[53],".":[59],"In":[60],"this":[61],"paper,":[62],"we":[63],"will":[64],"give":[65],"polynomial":[67],"time":[68],"algorithms":[69],"computing":[71],"for":[77],"P":[78,82],"4":[79,83],"-reducible":[80],"and":[81],"-tidy":[84],"graphs.":[85]},"counts_by_year":[],"updated_date":"2026-01-13T01:12:25.745995","created_date":"2024-01-24T00:00:00"}
