{"id":"https://openalex.org/W1863257697","doi":"https://doi.org/10.1142/s1793830915500433","title":"On the dominator coloring in proper interval graphs and block graphs","display_name":"On the dominator coloring in proper interval graphs and block graphs","publication_year":2015,"publication_date":"2015-08-25","ids":{"openalex":"https://openalex.org/W1863257697","doi":"https://doi.org/10.1142/s1793830915500433","mag":"1863257697"},"language":"en","primary_location":{"id":"doi:10.1142/s1793830915500433","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830915500433","pdf_url":null,"source":{"id":"https://openalex.org/S178434951","display_name":"Discrete Mathematics Algorithms and Applications","issn_l":"1793-8309","issn":["1793-8309","1793-8317"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics, Algorithms and Applications","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/A5061095539","display_name":"B. S. Panda","orcid":"https://orcid.org/0000-0002-0721-5325"},"institutions":[{"id":"https://openalex.org/I145894827","display_name":"Indian Institute of Technology Kharagpur","ror":"https://ror.org/03w5sq511","country_code":"IN","type":"education","lineage":["https://openalex.org/I145894827"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"B. S. Panda","raw_affiliation_strings":["Department of Mathematics, Indian Institute of Technology Kharagpur, Kharagpur 721302, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Indian Institute of Technology Kharagpur, Kharagpur 721302, India","institution_ids":["https://openalex.org/I145894827"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102755835","display_name":"Arti Pandey","orcid":"https://orcid.org/0000-0001-6425-5529"},"institutions":[{"id":"https://openalex.org/I4210089896","display_name":"Indian Institute of Information Technology Guwahati","ror":"https://ror.org/00bb9ch64","country_code":"IN","type":"education","lineage":["https://openalex.org/I4210089896"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Arti Pandey","raw_affiliation_strings":["Department of Computer Science and Engineering, Indian Institute of Information Technology Guwahati, Ambari, G. N. Bordoloi Road, Guwahati 781001, India"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Engineering, Indian Institute of Information Technology Guwahati, Ambari, G. N. Bordoloi Road, Guwahati 781001, India","institution_ids":["https://openalex.org/I4210089896"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5061095539"],"corresponding_institution_ids":["https://openalex.org/I145894827"],"apc_list":null,"apc_paid":null,"fwci":0.3505,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.62640042,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"07","issue":"04","first_page":"1550043","last_page":"1550043"},"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/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9950000047683716,"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":0.9861999750137329,"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/combinatorics","display_name":"Combinatorics","score":0.8082168102264404},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6239697933197021},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.536088764667511},{"id":"https://openalex.org/keywords/complete-coloring","display_name":"Complete coloring","score":0.4640001654624939},{"id":"https://openalex.org/keywords/list-coloring","display_name":"List coloring","score":0.4311937689781189},{"id":"https://openalex.org/keywords/edge-coloring","display_name":"Edge coloring","score":0.41449978947639465},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.40915554761886597},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.3859045207500458},{"id":"https://openalex.org/keywords/graph-power","display_name":"Graph power","score":0.2501235008239746},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.14705124497413635}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8082168102264404},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6239697933197021},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.536088764667511},{"id":"https://openalex.org/C21642379","wikidata":"https://www.wikidata.org/wiki/Q3342988","display_name":"Complete coloring","level":5,"score":0.4640001654624939},{"id":"https://openalex.org/C199594403","wikidata":"https://www.wikidata.org/wiki/Q1130404","display_name":"List coloring","level":5,"score":0.4311937689781189},{"id":"https://openalex.org/C123809776","wikidata":"https://www.wikidata.org/wiki/Q1050972","display_name":"Edge coloring","level":5,"score":0.41449978947639465},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.40915554761886597},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.3859045207500458},{"id":"https://openalex.org/C149530733","wikidata":"https://www.wikidata.org/wiki/Q5597091","display_name":"Graph power","level":4,"score":0.2501235008239746},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.14705124497413635}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s1793830915500433","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830915500433","pdf_url":null,"source":{"id":"https://openalex.org/S178434951","display_name":"Discrete Mathematics Algorithms and Applications","issn_l":"1793-8309","issn":["1793-8309","1793-8317"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics, Algorithms and Applications","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":10,"referenced_works":["https://openalex.org/W21829889","https://openalex.org/W345637930","https://openalex.org/W1493071618","https://openalex.org/W1581552469","https://openalex.org/W2004076420","https://openalex.org/W2051183543","https://openalex.org/W2058671085","https://openalex.org/W2080357955","https://openalex.org/W2089465933","https://openalex.org/W2143398735"],"related_works":["https://openalex.org/W4311345810","https://openalex.org/W4297911588","https://openalex.org/W4291316360","https://openalex.org/W3169197204","https://openalex.org/W1995859989","https://openalex.org/W4229747356","https://openalex.org/W2793500002","https://openalex.org/W2380525562","https://openalex.org/W1542397451","https://openalex.org/W398688634"],"abstract_inverted_index":{"In":[0,211],"a":[1,6,12,51,63,90,123,150,156,187,248],"graph":[2,55,91,151,234,250],"[Formula:":[3,8,14,19,23,29,37,46,56,67,76,83,92,104,127,136,143,152,163,191,201,208,235,239,251,267],"see":[4,9,15,20,24,30,38,47,57,68,77,84,93,105,128,137,144,153,164,192,202,209,236,240,252,268],"text],":[5,241,253],"vertex":[7,13,35,169],"text]":[10,16,21,25,39,48,69,78,94,106,129,138,154,165,193,203,237],"dominates":[11,41,170],"if":[17],"either":[18],"or":[22],"is":[26,49,70,80,95,130,140,155,194,205,260],"adjacent":[27,111],"to":[28,100],"text].":[31,58,85,145,210,269],"A":[32,86,146],"subset":[33],"of":[34,45,54,62,66,75,89,98,103,119,126,135,149,159,162,174,183,190,200,256,261,280],"set":[36,53,65],"that":[40,108,167,230,266],"all":[42,171],"the":[43,72,101,132,160,172,196,216,221,257,273,285],"vertices":[44,102,112,161,173],"called":[50,71,131,195],"dominating":[52,64],"The":[59,116,180],"minimum":[60,117,181],"cardinality":[61],"domination":[73],"number":[74,118,134,182,199,219],"and":[79,139,204,225,242,283],"denoted":[81,141,206],"by":[82,142,207],"proper":[87,124,157,222,232],"coloring":[88,125,148,158,189],"an":[96,277],"assignment":[97],"colors":[99,120,184],"such":[107,166],"any":[109],"two":[110],"get":[113],"different":[114],"colors.":[115],"required":[121,185],"for":[122,186,220],"chromatic":[133,198,218],"dominator":[147,188,197,217],"every":[168,231],"at":[175],"least":[176],"one":[177,255],"color":[178],"class.":[179],"this":[212],"paper,":[213],"we":[214,264],"study":[215],"interval":[223,233],"graphs":[224,275],"block":[226,249,259,274,279],"graphs.":[227],"We":[228,270],"show":[229,265],"satisfies":[238],"these":[243],"bounds":[244],"are":[245],"sharp.":[246],"For":[247],"where":[254],"end":[258,278],"maximum":[262,281],"size,":[263],"also":[271],"characterize":[272],"with":[276],"size":[282],"attaining":[284],"lower":[286],"bound.":[287]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2017,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}