{"id":"https://openalex.org/W2993721286","doi":"https://doi.org/10.1051/ro/2022183","title":"Total dominator total chromatic numbers of cycles and paths","display_name":"Total dominator total chromatic numbers of cycles and paths","publication_year":2022,"publication_date":"2022-10-18","ids":{"openalex":"https://openalex.org/W2993721286","doi":"https://doi.org/10.1051/ro/2022183","mag":"2993721286"},"language":"en","primary_location":{"id":"doi:10.1051/ro/2022183","is_oa":true,"landing_page_url":"https://doi.org/10.1051/ro/2022183","pdf_url":"https://www.rairo-ro.org/articles/ro/pdf/2023/02/ro220278.pdf","source":{"id":"https://openalex.org/S4393919633","display_name":"RAIRO. Operations research","issn_l":"2804-7303","issn":["2804-7303"],"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":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Operations Research","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://www.rairo-ro.org/articles/ro/pdf/2023/02/ro220278.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5020081210","display_name":"Adel P. Kazemi","orcid":null},"institutions":[{"id":"https://openalex.org/I72341708","display_name":"University of Mohaghegh Ardabili","ror":"https://ror.org/045zrcm98","country_code":"IR","type":"education","lineage":["https://openalex.org/I72341708"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Adel P. Kazemi","raw_affiliation_strings":["Department of Mathematics, University of Mohaghegh Ardabili, P.O. Box 5619911367, Ardabil, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Mohaghegh Ardabili, P.O. Box 5619911367, Ardabil, Iran","institution_ids":["https://openalex.org/I72341708"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5079488761","display_name":"Farshad Kazemnejad","orcid":null},"institutions":[{"id":"https://openalex.org/I4210116604","display_name":"Ilam University","ror":"https://ror.org/01r277z15","country_code":"IR","type":"education","lineage":["https://openalex.org/I4210116604"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Farshad Kazemnejad","raw_affiliation_strings":["Department of Mathematics, Faculty of Basic Sciences, Ilam University, P.O. Box 69315-516, Ilam, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Basic Sciences, Ilam University, P.O. Box 69315-516, Ilam, Iran","institution_ids":["https://openalex.org/I4210116604"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.4564,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.62896869,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"57","issue":"2","first_page":"383","last_page":"399"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9997000098228455,"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/T12541","display_name":"Graph Labeling and Dimension Problems","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/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":0.9853000044822693,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/total-coloring","display_name":"Total coloring","score":0.807464063167572},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7225256562232971},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6503380537033081},{"id":"https://openalex.org/keywords/brooks-theorem","display_name":"Brooks' theorem","score":0.5571209192276001},{"id":"https://openalex.org/keywords/fractional-coloring","display_name":"Fractional coloring","score":0.5425018668174744},{"id":"https://openalex.org/keywords/edge-coloring","display_name":"Edge coloring","score":0.532626211643219},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5140305757522583},{"id":"https://openalex.org/keywords/complete-coloring","display_name":"Complete coloring","score":0.48012590408325195},{"id":"https://openalex.org/keywords/windmill-graph","display_name":"Windmill graph","score":0.465539813041687},{"id":"https://openalex.org/keywords/graph-power","display_name":"Graph power","score":0.4448629319667816},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.43076273798942566},{"id":"https://openalex.org/keywords/list-coloring","display_name":"List coloring","score":0.4279322028160095},{"id":"https://openalex.org/keywords/graph-coloring","display_name":"Graph coloring","score":0.42043158411979675},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.4123760163784027},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.17833223938941956}],"concepts":[{"id":"https://openalex.org/C2778552271","wikidata":"https://www.wikidata.org/wiki/Q7828102","display_name":"Total coloring","level":5,"score":0.807464063167572},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7225256562232971},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6503380537033081},{"id":"https://openalex.org/C51658606","wikidata":"https://www.wikidata.org/wiki/Q512897","display_name":"Brooks' theorem","level":5,"score":0.5571209192276001},{"id":"https://openalex.org/C158319403","wikidata":"https://www.wikidata.org/wiki/Q5477527","display_name":"Fractional coloring","level":5,"score":0.5425018668174744},{"id":"https://openalex.org/C123809776","wikidata":"https://www.wikidata.org/wiki/Q1050972","display_name":"Edge coloring","level":5,"score":0.532626211643219},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5140305757522583},{"id":"https://openalex.org/C21642379","wikidata":"https://www.wikidata.org/wiki/Q3342988","display_name":"Complete coloring","level":5,"score":0.48012590408325195},{"id":"https://openalex.org/C73380178","wikidata":"https://www.wikidata.org/wiki/Q8024306","display_name":"Windmill graph","level":5,"score":0.465539813041687},{"id":"https://openalex.org/C149530733","wikidata":"https://www.wikidata.org/wiki/Q5597091","display_name":"Graph power","level":4,"score":0.4448629319667816},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.43076273798942566},{"id":"https://openalex.org/C199594403","wikidata":"https://www.wikidata.org/wiki/Q1130404","display_name":"List coloring","level":5,"score":0.4279322028160095},{"id":"https://openalex.org/C76946457","wikidata":"https://www.wikidata.org/wiki/Q504843","display_name":"Graph coloring","level":3,"score":0.42043158411979675},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.4123760163784027},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.17833223938941956}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1051/ro/2022183","is_oa":true,"landing_page_url":"https://doi.org/10.1051/ro/2022183","pdf_url":"https://www.rairo-ro.org/articles/ro/pdf/2023/02/ro220278.pdf","source":{"id":"https://openalex.org/S4393919633","display_name":"RAIRO. Operations research","issn_l":"2804-7303","issn":["2804-7303"],"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":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Operations Research","raw_type":"journal-article"},{"id":"pmh:oai:edpsciences.org:dkey/10.1051/ro/2022183","is_oa":true,"landing_page_url":null,"pdf_url":"https://www.rairo-ro.org/10.1051/ro/2022183/pdf","source":{"id":"https://openalex.org/S4306400744","display_name":"Springer Link (Chiba Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I8488066","host_organization_name":"Chiba Institute of Technology","host_organization_lineage":["https://openalex.org/I8488066"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://doi.org/10.1051/ro/2022183","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.1051/ro/2022183","is_oa":true,"landing_page_url":"https://doi.org/10.1051/ro/2022183","pdf_url":"https://www.rairo-ro.org/articles/ro/pdf/2023/02/ro220278.pdf","source":{"id":"https://openalex.org/S4393919633","display_name":"RAIRO. Operations research","issn_l":"2804-7303","issn":["2804-7303"],"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":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Operations Research","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2993721286.pdf","grobid_xml":"https://content.openalex.org/works/W2993721286.grobid-xml"},"referenced_works_count":8,"referenced_works":["https://openalex.org/W1479863711","https://openalex.org/W1566478048","https://openalex.org/W1988737472","https://openalex.org/W2052417492","https://openalex.org/W2783197059","https://openalex.org/W2896316367","https://openalex.org/W2942592462","https://openalex.org/W3157287446"],"related_works":["https://openalex.org/W2042876012","https://openalex.org/W4237246883","https://openalex.org/W2075039009","https://openalex.org/W2361216235","https://openalex.org/W4294068778","https://openalex.org/W2390782648","https://openalex.org/W2350893161","https://openalex.org/W2593363391","https://openalex.org/W2951061933","https://openalex.org/W2152985449"],"abstract_inverted_index":{"The":[0,36],"total":[1,3,10,45,47,55,57,81,83,99,101],"dominator":[2,46,56,82,100],"coloring":[4,11,48,84],"of":[5,12,22,32,39,43,49,60,85,104,110],"a":[6,9,44,50,86],"graph":[7,14,24,51,87],"is":[8,25,52],"the":[13,23,40,54,61,75,80,98],"such":[15],"that":[16],"each":[17],"object":[18,31],"(vertex":[19],"or":[20,27],"edge)":[21],"adjacent":[26],"incident":[28],"to":[29,78],"every":[30],"some":[33,90,95],"color":[34,41],"class.":[35],"minimum":[37],"number":[38,59],"classes":[42],"called":[53],"chromatic":[58,102],"graph.":[62],"In":[63],"(A.P.":[64],"Kazemi,":[65],"F.":[66],"Kazemnejad":[67],"and":[68,88,93,106],"S.":[69],"Moradi,":[70],"Contrib.":[71],"Discrete":[72],"Math.":[73],"(2022).),":[74],"authors":[76],"initiated":[77],"study":[79],"found":[89],"useful":[91],"results,":[92],"presented":[94],"problems.":[96],"Finding":[97],"numbers":[103],"cycles":[105],"paths":[107],"were":[108],"two":[109],"them":[111,115],"which":[112],"we":[113],"consider":[114],"here.":[116]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
