{"id":"https://openalex.org/W3204800935","doi":"https://doi.org/10.1142/s1793830922500331","title":"On the domination number of a graph and its block graph","display_name":"On the domination number of a graph and its block graph","publication_year":2021,"publication_date":"2021-10-05","ids":{"openalex":"https://openalex.org/W3204800935","doi":"https://doi.org/10.1142/s1793830922500331","mag":"3204800935"},"language":"en","primary_location":{"id":"doi:10.1142/s1793830922500331","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830922500331","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/A5032837147","display_name":"E. Murugan","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"E. Murugan","raw_affiliation_strings":["Department of Mathematics, C. S. I Jayaraj Annapackiam College, Nallur 627 853, Tamil Nadu, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, C. S. I Jayaraj Annapackiam College, Nallur 627 853, Tamil Nadu, India","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5083964985","display_name":"J. Paulraj Joseph","orcid":null},"institutions":[{"id":"https://openalex.org/I182997119","display_name":"Manonmaniam Sundaranar University","ror":"https://ror.org/02qgw5c67","country_code":"IN","type":"education","lineage":["https://openalex.org/I182997119"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"J. Paulraj Joseph","raw_affiliation_strings":["Department of Mathematics, Manonmaniam Sundaranar University, Tirunelveli 627 012, Tamil Nadu, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Manonmaniam Sundaranar University, Tirunelveli 627 012, Tamil Nadu, India","institution_ids":["https://openalex.org/I182997119"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5032837147"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.148,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.52894953,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"14","issue":"07","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","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/T10374","display_name":"Advanced Graph Theory Research","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/T11476","display_name":"Graph theory and applications","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13991","display_name":"Nuclear Receptors and Signaling","score":0.9933000206947327,"subfield":{"id":"https://openalex.org/subfields/2804","display_name":"Cellular and Molecular Neuroscience"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8169106245040894},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.640846848487854},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.6152777075767517},{"id":"https://openalex.org/keywords/domination-analysis","display_name":"Domination analysis","score":0.529778003692627},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.49761322140693665},{"id":"https://openalex.org/keywords/dominating-set","display_name":"Dominating set","score":0.49153050780296326},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4215085804462433},{"id":"https://openalex.org/keywords/regular-graph","display_name":"Regular graph","score":0.4170811176300049},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.2884068191051483},{"id":"https://openalex.org/keywords/graph-power","display_name":"Graph power","score":0.2746478319168091}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8169106245040894},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.640846848487854},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.6152777075767517},{"id":"https://openalex.org/C83833204","wikidata":"https://www.wikidata.org/wiki/Q5290322","display_name":"Domination analysis","level":4,"score":0.529778003692627},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.49761322140693665},{"id":"https://openalex.org/C146661039","wikidata":"https://www.wikidata.org/wiki/Q2915204","display_name":"Dominating set","level":4,"score":0.49153050780296326},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4215085804462433},{"id":"https://openalex.org/C123482549","wikidata":"https://www.wikidata.org/wiki/Q826467","display_name":"Regular graph","level":5,"score":0.4170811176300049},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.2884068191051483},{"id":"https://openalex.org/C149530733","wikidata":"https://www.wikidata.org/wiki/Q5597091","display_name":"Graph power","level":4,"score":0.2746478319168091}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s1793830922500331","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830922500331","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W2048025378","https://openalex.org/W2078743813","https://openalex.org/W2112825968","https://openalex.org/W2137906639","https://openalex.org/W2164092249","https://openalex.org/W3025752602","https://openalex.org/W4231139853","https://openalex.org/W4232896595","https://openalex.org/W4254993802"],"related_works":["https://openalex.org/W2794522194","https://openalex.org/W2963404550","https://openalex.org/W30750922","https://openalex.org/W2033190383","https://openalex.org/W4235356280","https://openalex.org/W4299822763","https://openalex.org/W2339280209","https://openalex.org/W2763279932","https://openalex.org/W3118953946","https://openalex.org/W2612157706"],"abstract_inverted_index":{"Let":[0],"[Formula:":[1,9,13,22,30,39,45,49,62,68,74,89,96,114],"see":[2,10,14,23,31,40,46,50,63,69,75,90,97,115],"text]":[3,11,15,24,32,41,47,51,64,70,76,91,98,116],"be":[4],"a":[5,18,72,78,109,134],"graph.":[6],"A":[7],"subset":[8],"of":[12,21,48,61,71,86,95,130,133],"is":[16,33,52,77,83],"called":[17],"dominating":[19,59],"set":[20,82,85],"if":[25,101,104],"every":[26],"vertex":[27,37,81,112],"not":[28],"in":[29,38,88,113],"adjacent":[34,100],"to":[35],"some":[36],"The":[42,65],"domination":[43,131],"number":[44,132],"the":[53,84,105,122,128,142],"minimum":[54],"cardinality":[55],"taken":[56],"over":[57],"all":[58],"sets":[60],"block":[66,138],"graph":[67,73,79,135,139],"whose":[80],"blocks":[87,107],"and":[92,102,124,136,140],"two":[93],"vertices":[94],"are":[99],"only":[103],"corresponding":[106],"have":[108],"common":[110],"cut":[111],"In":[117],"this":[118],"paper,":[119],"we":[120],"investigate":[121],"lower":[123],"upper":[125],"bounds":[126],"for":[127],"sum":[129],"its":[137],"characterize":[141],"extremal":[143],"graphs.":[144]},"counts_by_year":[{"year":2023,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
