{"id":"https://openalex.org/W4293773017","doi":"https://doi.org/10.26713/cma.v13i1.1669","title":"Subdivision Graph, Power and Line Graph of a Soft Graph","display_name":"Subdivision Graph, Power and Line Graph of a Soft Graph","publication_year":2022,"publication_date":"2022-05-22","ids":{"openalex":"https://openalex.org/W4293773017","doi":"https://doi.org/10.26713/cma.v13i1.1669"},"language":"en","primary_location":{"id":"doi:10.26713/cma.v13i1.1669","doi":"https://doi.org/10.26713/cma.v13i1.1669","is_oa":true,"landing_page_url":"https://doi.org/10.26713/cma.v13i1.1669","pdf_url":"https://www.rgnpublications.com/journals/index.php/cma/article/download/1669/1357","source":{"id":"https://openalex.org/S2764867202","display_name":"Communications in Mathematics and Applications","issn_l":"0975-8607","issn":["0975-8607","0976-5905"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-d","norway-1","poland-20","russia-white-list-3"],"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":"Communications in Mathematics and Applications","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.rgnpublications.com/journals/index.php/cma/article/download/1669/1357","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5055128902","display_name":"Rajesh K. Thumbakara","orcid":"https://orcid.org/0000-0001-7503-8861","observed_orcids":["https://orcid.org/0000-0001-7503-8861"]},"institutions":[{"id":"https://openalex.org/I177436651","display_name":"Mahatma Gandhi University","ror":"https://ror.org/00h4spn88","country_code":"IN","type":"education","lineage":["https://openalex.org/I177436651"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Rajesh K. Thumbakara","raw_affiliation_strings":["Department of Mathematics, M.A. College (Autonomous) (Mahatma Gandhi University), Kothamangalam, India"],"raw_orcid":"https://orcid.org/0000-0001-7503-8861","affiliations":[{"raw_affiliation_string":"Department of Mathematics, M.A. College (Autonomous) (Mahatma Gandhi University), Kothamangalam, India","institution_ids":["https://openalex.org/I177436651"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5072115851","display_name":"Bobin George","orcid":"https://orcid.org/0000-0002-2477-6220","observed_orcids":["https://orcid.org/0000-0002-2477-6220"]},"institutions":[{"id":"https://openalex.org/I177436651","display_name":"Mahatma Gandhi University","ror":"https://ror.org/00h4spn88","country_code":"IN","type":"education","lineage":["https://openalex.org/I177436651"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Bobin George","raw_affiliation_strings":["Department of Mathematics, Pavanatma College (Mahatma Gandhi University), Murickassery, India"],"raw_orcid":"https://orcid.org/0000-0002-2477-6220","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Pavanatma College (Mahatma Gandhi University), Murickassery, India","institution_ids":["https://openalex.org/I177436651"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5019251337","display_name":"Jinta Jose","orcid":"https://orcid.org/0000-0002-3743-2945","observed_orcids":["https://orcid.org/0000-0002-3743-2945"]},"institutions":[{"id":"https://openalex.org/I3129367976","display_name":"APJ Abdul Kalam Technological University","ror":"https://ror.org/04yn30r61","country_code":"IN","type":"education","lineage":["https://openalex.org/I3129367976"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Jinta Jose","raw_affiliation_strings":["Department of Science and Humanities, VJCET (APJ Abdul Kalam Technological University), Vazhakulam, India"],"raw_orcid":"https://orcid.org/0000-0002-3743-2945","affiliations":[{"raw_affiliation_string":"Department of Science and Humanities, VJCET (APJ Abdul Kalam Technological University), Vazhakulam, India","institution_ids":["https://openalex.org/I3129367976"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":5.5148,"has_fulltext":true,"cited_by_count":36,"citation_normalized_percentile":{"value":0.96343057,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":100},"biblio":{"volume":"13","issue":"1","first_page":"75","last_page":"85"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11671","display_name":"Fuzzy and Soft Set Theory","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T11671","display_name":"Fuzzy and Soft Set Theory","score":1.0,"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"}},{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.0,"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/T14500","display_name":"Advanced Mathematical Theories","score":0.0,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/subdivision-graphs","display_name":"subdivision graphs","score":0.8840000033378601},{"id":"https://openalex.org/keywords/power-graphs","display_name":"power graphs","score":0.9679999947547913},{"id":"https://openalex.org/keywords/line-graphs","display_name":"line graphs","score":0.996999979019165},{"id":"https://openalex.org/keywords/soft-sets","display_name":"soft sets","score":0.8100000023841858},{"id":"https://openalex.org/keywords/graph-theory","display_name":"graph theory","score":0.5370000004768372},{"id":"https://openalex.org/keywords/vagueness-and-uncertainty","display_name":"uncertainty and vagueness","score":0.7649999856948853}],"concepts":[{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.7472153902053833},{"id":"https://openalex.org/C17169500","wikidata":"https://www.wikidata.org/wiki/Q3033506","display_name":"Null graph","level":5,"score":0.5454772114753723},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5421122312545776},{"id":"https://openalex.org/C143392562","wikidata":"https://www.wikidata.org/wiki/Q449111","display_name":"Subdivision","level":2,"score":0.5414512157440186},{"id":"https://openalex.org/C22149727","wikidata":"https://www.wikidata.org/wiki/Q7940747","display_name":"Voltage graph","level":4,"score":0.5376412272453308},{"id":"https://openalex.org/C18819970","wikidata":"https://www.wikidata.org/wiki/Q3035340","display_name":"Butterfly graph","level":5,"score":0.5152792930603027},{"id":"https://openalex.org/C43413943","wikidata":"https://www.wikidata.org/wiki/Q4927193","display_name":"Block graph","level":5,"score":0.5087965130805969},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.448550820350647},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.43297651410102844},{"id":"https://openalex.org/C168291704","wikidata":"https://www.wikidata.org/wiki/Q902252","display_name":"Complement graph","level":5,"score":0.41219621896743774},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4106985926628113},{"id":"https://openalex.org/C43517604","wikidata":"https://www.wikidata.org/wiki/Q7144893","display_name":"Pathwidth","level":4,"score":0.3059263229370117},{"id":"https://openalex.org/C166957645","wikidata":"https://www.wikidata.org/wiki/Q23498","display_name":"Archaeology","level":1,"score":0.0},{"id":"https://openalex.org/C95457728","wikidata":"https://www.wikidata.org/wiki/Q309","display_name":"History","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.26713/cma.v13i1.1669","doi":"https://doi.org/10.26713/cma.v13i1.1669","is_oa":true,"landing_page_url":"https://doi.org/10.26713/cma.v13i1.1669","pdf_url":"https://www.rgnpublications.com/journals/index.php/cma/article/download/1669/1357","source":{"id":"https://openalex.org/S2764867202","display_name":"Communications in Mathematics and Applications","issn_l":"0975-8607","issn":["0975-8607","0976-5905"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-d","norway-1","poland-20","russia-white-list-3"],"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":"Communications in Mathematics and Applications","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.26713/cma.v13i1.1669","doi":"https://doi.org/10.26713/cma.v13i1.1669","is_oa":true,"landing_page_url":"https://doi.org/10.26713/cma.v13i1.1669","pdf_url":"https://www.rgnpublications.com/journals/index.php/cma/article/download/1669/1357","source":{"id":"https://openalex.org/S2764867202","display_name":"Communications in Mathematics and Applications","issn_l":"0975-8607","issn":["0975-8607","0976-5905"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-d","norway-1","poland-20","russia-white-list-3"],"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":"Communications in Mathematics and Applications","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4293773017.pdf","grobid_xml":"https://content.openalex.org/works/W4293773017.grobid-xml"},"referenced_works_count":9,"referenced_works":["https://openalex.org/W1495288901","https://openalex.org/W1978352585","https://openalex.org/W1982907249","https://openalex.org/W2191274632","https://openalex.org/W2612978016","https://openalex.org/W2891384280","https://openalex.org/W2975796134","https://openalex.org/W3022424798","https://openalex.org/W3047429704"],"related_works":["https://openalex.org/W7169615470","https://openalex.org/W2191274632","https://openalex.org/W7216831092","https://openalex.org/W4223627897","https://openalex.org/W2891384280","https://openalex.org/W2790151228","https://openalex.org/W4394646590","https://openalex.org/W4403037066","https://openalex.org/W7220622279","https://openalex.org/W4377192482"],"abstract_inverted_index":{"Soft":[0],"set":[1,15],"is":[2,19,33],"a":[3,20,37,59],"classification":[4],"of":[5,7,16,30,40,51,58,65],"elements":[6],"the":[8,49],"universe":[9],"with":[10],"respect":[11],"to":[12,35],"some":[13,64],"given":[14],"parameters.":[17],"It":[18],"new":[21],"approach":[22],"for":[23,42],"modeling":[24],"vagueness":[25],"and":[26,55,62],"uncertainty.":[27],"The":[28],"concept":[29],"soft":[31,60],"graph":[32,57,61],"used":[34],"provide":[36],"parameterized":[38],"point":[39],"view":[41],"graphs.":[43],"In":[44],"this":[45],"paper":[46],"we":[47],"introduce":[48],"concepts":[50],"subdivision":[52],"graph,":[53],"power":[54],"line":[56],"investigate":[63],"their":[66],"properties.":[67]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":21},{"year":2023,"cited_by_count":9},{"year":2022,"cited_by_count":3}],"updated_date":"2026-09-08T07:41:39.490200","created_date":"2022-08-31T00:00:00"}