{"id":"https://openalex.org/W4388632047","doi":"https://doi.org/10.1142/s1793005725500073","title":"On Soft Graph Isomorphism","display_name":"On Soft Graph Isomorphism","publication_year":2023,"publication_date":"2023-11-13","ids":{"openalex":"https://openalex.org/W4388632047","doi":"https://doi.org/10.1142/s1793005725500073"},"language":"en","primary_location":{"id":"doi:10.1142/s1793005725500073","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793005725500073","pdf_url":null,"source":{"id":"https://openalex.org/S135331755","display_name":"New Mathematics and Natural Computation","issn_l":"1793-0057","issn":["1793-0057","1793-7027"],"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":"New Mathematics and Natural Computation","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/A5055128902","display_name":"Rajesh K. Thumbakara","orcid":"https://orcid.org/0000-0001-7503-8861"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Rajesh K. Thumbakara","raw_affiliation_strings":["Department of Mathematics, Mar Athanasius College (Autonomous), Kothamangalam, Kerala, India"],"raw_orcid":"https://orcid.org/0000-0001-7503-8861","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Mar Athanasius College (Autonomous), Kothamangalam, Kerala, India","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5019251337","display_name":"Jinta Jose","orcid":"https://orcid.org/0000-0002-3743-2945"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jinta Jose","raw_affiliation_strings":["Department of Science and Humanities, Viswajyothi College of Engineering and Technology, Vazhakulam, Kerala, India"],"raw_orcid":"https://orcid.org/0000-0002-3743-2945","affiliations":[{"raw_affiliation_string":"Department of Science and Humanities, Viswajyothi College of Engineering and Technology, Vazhakulam, Kerala, India","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5072115851","display_name":"Bobin George","orcid":"https://orcid.org/0000-0002-2477-6220"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Bobin George","raw_affiliation_strings":["Department of Mathematics, Pavanatma College, Murickassery, Kerala, India"],"raw_orcid":"https://orcid.org/0000-0002-2477-6220","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Pavanatma College, Murickassery, Kerala, India","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5072115851"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.5478,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.89662767,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"21","issue":"01","first_page":"113","last_page":"129"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.8824999928474426,"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":0.8824999928474426,"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/soft-set","display_name":"Soft set","score":0.7314221858978271},{"id":"https://openalex.org/keywords/graph-isomorphism","display_name":"Graph isomorphism","score":0.6518789529800415},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4955497980117798},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4902203679084778},{"id":"https://openalex.org/keywords/isomorphism","display_name":"Isomorphism (crystallography)","score":0.45250001549720764},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.41252806782722473},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.4054526686668396},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3892338275909424},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.3688245415687561},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.163918137550354}],"concepts":[{"id":"https://openalex.org/C2777037408","wikidata":"https://www.wikidata.org/wiki/Q4310193","display_name":"Soft set","level":3,"score":0.7314221858978271},{"id":"https://openalex.org/C61665672","wikidata":"https://www.wikidata.org/wiki/Q303100","display_name":"Graph isomorphism","level":4,"score":0.6518789529800415},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4955497980117798},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4902203679084778},{"id":"https://openalex.org/C203436722","wikidata":"https://www.wikidata.org/wiki/Q902950","display_name":"Isomorphism (crystallography)","level":3,"score":0.45250001549720764},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.41252806782722473},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.4054526686668396},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3892338275909424},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.3688245415687561},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.163918137550354},{"id":"https://openalex.org/C8010536","wikidata":"https://www.wikidata.org/wiki/Q160398","display_name":"Crystallography","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.0},{"id":"https://openalex.org/C115624301","wikidata":"https://www.wikidata.org/wiki/Q895901","display_name":"Crystal structure","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s1793005725500073","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793005725500073","pdf_url":null,"source":{"id":"https://openalex.org/S135331755","display_name":"New Mathematics and Natural Computation","issn_l":"1793-0057","issn":["1793-0057","1793-7027"],"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":"New Mathematics and Natural Computation","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:wsi:nmncxx:v:21:y:2025:i:01:n:s1793005725500073","is_oa":false,"landing_page_url":"http://www.worldscientific.com/doi/abs/10.1142/S1793005725500073","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1978352585","https://openalex.org/W1982907249","https://openalex.org/W2191274632","https://openalex.org/W2315241089","https://openalex.org/W2891384280","https://openalex.org/W2975796134","https://openalex.org/W3047429704","https://openalex.org/W3130428305","https://openalex.org/W4223627897","https://openalex.org/W4293773017","https://openalex.org/W4303981694"],"related_works":["https://openalex.org/W1258892498","https://openalex.org/W1522618089","https://openalex.org/W4360838296","https://openalex.org/W2187958446","https://openalex.org/W3080158623","https://openalex.org/W1856194915","https://openalex.org/W2389075355","https://openalex.org/W2041670454","https://openalex.org/W2183579781","https://openalex.org/W1991889083"],"abstract_inverted_index":{"The":[0,24],"soft":[1,28,38,93,105,114,118,126,141,146,155],"set":[2,22,29],"theory":[3],"provides":[4],"a":[5,27,37,48,52,59,117,125],"flexible":[6],"framework":[7],"for":[8,62],"dealing":[9],"with":[10],"uncertain":[11],"and":[12,73,82,95,120,157],"imprecise":[13],"information":[14,74],"that":[15,122,138],"is":[16,58,124],"not":[17],"adequately":[18],"handled":[19],"by":[20,51],"classical":[21],"theory.":[23],"notion":[25],"of":[26,36,44,47,99,102,112,116,128,131],"was":[30],"utilized":[31],"to":[32],"introduce":[33],"the":[34,42,97,110,113,129,132],"concept":[35,111],"graph,":[39],"which":[40],"enables":[41],"generation":[43],"various":[45,66],"representations":[46,101],"relation":[49],"represented":[50],"graph":[53,119,127],"through":[54],"parameterization.":[55],"Graph":[56],"isomorphism":[57,91],"key":[60],"technique":[61],"pattern":[63],"matching":[64],"in":[65,92],"fields,":[67],"such":[68],"as":[69],"image":[70],"processing,":[71],"computer":[72],"systems,":[75],"social":[76],"network":[77],"analysis,":[78],"chemical":[79],"bond":[80],"exploration,":[81],"protein":[83],"structure":[84],"analysis.":[85],"In":[86],"this":[87],"study,":[88],"we":[89,108,152],"explore":[90,109],"graphs":[94,142,156],"investigate":[96],"properties":[98],"tabular":[100],"two":[103,140],"isomorphic":[104],"graphs.":[106],"Additionally,":[107],"complement":[115,130],"prove":[121],"it":[123],"original":[133],"graph.":[134],"We":[135],"also":[136,149],"establish":[137],"if":[139],"are":[143,148],"isomorphic,":[144],"their":[145,159],"complements":[147],"isomorphic.":[150],"Moreover,":[151],"define":[153],"self-complementary":[154],"examine":[158],"properties.":[160]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":8}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}
