{"id":"https://openalex.org/W2254309719","doi":"https://doi.org/10.1142/s1793830916500142","title":"Majority reinforcement number","display_name":"Majority reinforcement number","publication_year":2015,"publication_date":"2015-12-14","ids":{"openalex":"https://openalex.org/W2254309719","doi":"https://doi.org/10.1142/s1793830916500142","mag":"2254309719"},"language":"en","primary_location":{"id":"doi:10.1142/s1793830916500142","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830916500142","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":false,"raw_author_name":"I. Sahul Hamid","raw_affiliation_strings":["Department of Mathematics, The Madura College, Madurai, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, The Madura College, Madurai, India","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5042020917","display_name":"S. Anandha Prabhavathy","orcid":"https://orcid.org/0000-0002-5456-0826"},"institutions":[{"id":"https://openalex.org/I15664174","display_name":"Madurai Medical College","ror":"https://ror.org/05ghahk68","country_code":"IN","type":"education","lineage":["https://openalex.org/I15664174"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"S. Anandha Prabhavathy","raw_affiliation_strings":["Department of Mathematics, Sacs MAVMM Engineering College, Madurai, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Sacs MAVMM Engineering College, Madurai, India","institution_ids":["https://openalex.org/I15664174"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.12753532,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"08","issue":"01","first_page":"1650014","last_page":"1650014"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9994000196456909,"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":0.9994000196456909,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9811999797821045,"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/T11031","display_name":"Game Theory and Applications","score":0.9570000171661377,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.737858772277832},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5663743615150452},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.47009631991386414},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4420512020587921},{"id":"https://openalex.org/keywords/cardinality","display_name":"Cardinality (data modeling)","score":0.41065311431884766},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.11094185709953308}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.737858772277832},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5663743615150452},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.47009631991386414},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4420512020587921},{"id":"https://openalex.org/C87117476","wikidata":"https://www.wikidata.org/wiki/Q362383","display_name":"Cardinality (data modeling)","level":2,"score":0.41065311431884766},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.11094185709953308},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s1793830916500142","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830916500142","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":[{"score":0.5400000214576721,"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":4,"referenced_works":["https://openalex.org/W1581552469","https://openalex.org/W2011180679","https://openalex.org/W2017030366","https://openalex.org/W2038457140"],"related_works":["https://openalex.org/W1614985454","https://openalex.org/W2729146206","https://openalex.org/W2090802004","https://openalex.org/W1719252778","https://openalex.org/W922283457","https://openalex.org/W4287795162","https://openalex.org/W3023069363","https://openalex.org/W2031098440","https://openalex.org/W2408489498","https://openalex.org/W2104330975"],"abstract_inverted_index":{"A":[0],"two-valued":[1],"function":[2,20,26],"[Formula:":[3,13,47,50,54,59,67,77,81,89,97,101,109,114,124,130,137,157],"see":[4,14,48,51,55,60,68,78,82,90,98,102,110,115,125,131,138,158],"text]":[5,56,61,91,99,126,132,159],"defined":[6,118],"on":[7],"the":[8,22,32,45,85,121,145,153],"vertices":[9,46],"of":[10,24,58,74,88,100,108,127,133,147,156],"a":[11,17,75,128],"graph":[12,76],"text],":[15,49,52,79,83,111,116],"is":[16,35,84,117],"majority":[18,71,94,105,148],"dominating":[19,95],"if":[21],"sum":[23],"its":[25],"values":[27,155],"over":[28,92],"at":[29,36,42],"least":[30,37,43],"half":[31,44],"closed":[33],"neighborhoods":[34],"one.":[38],"That":[39],"is,":[40],"for":[41,160],"where":[53],"consists":[57],"and":[62,151,162],"every":[63],"vertex":[64],"adjacent":[65],"to":[66,119],"text].":[69,103,139],"The":[70,104],"domination":[72],"number":[73,107,150],"denoted":[80,112],"minimum":[86,122],"value":[87],"all":[93],"functions":[96],"reinforcement":[106,149],"by":[113],"be":[120],"cardinality":[123],"set":[129],"edges":[134],"such":[135],"that":[136],"In":[140],"this":[141],"paper,":[142],"we":[143],"initiate":[144],"study":[146],"determine":[152],"exact":[154],"paths":[161],"cycles.":[163]},"counts_by_year":[{"year":2023,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
