{"id":"https://openalex.org/W2019966581","doi":"https://doi.org/10.1142/s179383091450044x","title":"Global dominating sets in minimum coloring","display_name":"Global dominating sets in minimum coloring","publication_year":2014,"publication_date":"2014-04-09","ids":{"openalex":"https://openalex.org/W2019966581","doi":"https://doi.org/10.1142/s179383091450044x","mag":"2019966581"},"language":"en","primary_location":{"id":"doi:10.1142/s179383091450044x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s179383091450044x","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/A5058291566","display_name":"I. Sahul Hamid","orcid":"https://orcid.org/0000-0001-7350-1920"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"I. Sahul Hamid","raw_affiliation_strings":["Department of Mathematics, The Madura College, Madurai, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, The Madura College, Madurai, India","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109131509","display_name":"M. Rajeswari","orcid":null},"institutions":[{"id":"https://openalex.org/I2802738084","display_name":"Fatima Mata National College","ror":"https://ror.org/02xyffp85","country_code":"IN","type":"education","lineage":["https://openalex.org/I2802738084"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"M. Rajeswari","raw_affiliation_strings":["Department of Mathematics, Fatima College, Madurai, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Fatima College, Madurai, India","institution_ids":["https://openalex.org/I2802738084"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5058291566"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.3561,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.61440282,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"06","issue":"03","first_page":"1450044","last_page":"1450044"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9998999834060669,"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":0.9998999834060669,"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":0.998199999332428,"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":0.9879000186920166,"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/dominating-set","display_name":"Dominating set","score":0.6676180362701416},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5579360723495483},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5451998710632324},{"id":"https://openalex.org/keywords/edge-coloring","display_name":"Edge coloring","score":0.5329502820968628},{"id":"https://openalex.org/keywords/complete-coloring","display_name":"Complete coloring","score":0.49204298853874207},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.48808085918426514},{"id":"https://openalex.org/keywords/graph-coloring","display_name":"Graph coloring","score":0.48065483570098877},{"id":"https://openalex.org/keywords/greedy-coloring","display_name":"Greedy coloring","score":0.48045939207077026},{"id":"https://openalex.org/keywords/fractional-coloring","display_name":"Fractional coloring","score":0.4765644371509552},{"id":"https://openalex.org/keywords/list-coloring","display_name":"List coloring","score":0.4364163279533386},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3695330023765564},{"id":"https://openalex.org/keywords/graph-power","display_name":"Graph power","score":0.17907953262329102},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.11876392364501953},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.05884277820587158}],"concepts":[{"id":"https://openalex.org/C146661039","wikidata":"https://www.wikidata.org/wiki/Q2915204","display_name":"Dominating set","level":4,"score":0.6676180362701416},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5579360723495483},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5451998710632324},{"id":"https://openalex.org/C123809776","wikidata":"https://www.wikidata.org/wiki/Q1050972","display_name":"Edge coloring","level":5,"score":0.5329502820968628},{"id":"https://openalex.org/C21642379","wikidata":"https://www.wikidata.org/wiki/Q3342988","display_name":"Complete coloring","level":5,"score":0.49204298853874207},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.48808085918426514},{"id":"https://openalex.org/C76946457","wikidata":"https://www.wikidata.org/wiki/Q504843","display_name":"Graph coloring","level":3,"score":0.48065483570098877},{"id":"https://openalex.org/C38767284","wikidata":"https://www.wikidata.org/wiki/Q5601715","display_name":"Greedy coloring","level":5,"score":0.48045939207077026},{"id":"https://openalex.org/C158319403","wikidata":"https://www.wikidata.org/wiki/Q5477527","display_name":"Fractional coloring","level":5,"score":0.4765644371509552},{"id":"https://openalex.org/C199594403","wikidata":"https://www.wikidata.org/wiki/Q1130404","display_name":"List coloring","level":5,"score":0.4364163279533386},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3695330023765564},{"id":"https://openalex.org/C149530733","wikidata":"https://www.wikidata.org/wiki/Q5597091","display_name":"Graph power","level":4,"score":0.17907953262329102},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.11876392364501953},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.05884277820587158}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s179383091450044x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s179383091450044x","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":6,"referenced_works":["https://openalex.org/W1493071618","https://openalex.org/W1581552469","https://openalex.org/W1994567573","https://openalex.org/W2053281228","https://openalex.org/W2080357955","https://openalex.org/W4233687788"],"related_works":["https://openalex.org/W4311345810","https://openalex.org/W4297911588","https://openalex.org/W4291316360","https://openalex.org/W2046652778","https://openalex.org/W4294957130","https://openalex.org/W2585997002","https://openalex.org/W1546043504","https://openalex.org/W151506147","https://openalex.org/W2793500002","https://openalex.org/W3169197204"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"introduce":[4],"the":[5,14,34,74],"concept":[6],"of":[7,10,29,37,52,56,68,78],"global":[8,18,42,50,61,66,75],"dominating-\u03c7-coloring":[9,51,67],"a":[11,24,31,49,65],"graph":[12],"and":[13],"corresponding":[15],"parameter":[16],"namely":[17],"dominating-\u03c7-color":[19,76],"number.":[20],"Let":[21],"G":[22,46,69],"be":[23,73],"graph.":[25],"Among":[26],"all":[27],"\u03c7-colorings":[28],"G,":[30,79],"coloring":[32],"with":[33],"maximum":[35],"number":[36,55,77],"color":[38,57],"classes":[39,58],"that":[40,59],"are":[41,60],"dominating":[43,62],"sets":[44,63],"in":[45,64],"is":[47,70],"called":[48],"G.":[53],"The":[54],"defined":[71],"to":[72],"denoted":[80],"by":[81],"gd":[82],"\u03c7(G).":[83]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
