{"id":"https://openalex.org/W4408271095","doi":"https://doi.org/10.1007/s12190-025-02430-2","title":"Symmetry-based granulation in networks associated with commutative rings: application in social network dynamics","display_name":"Symmetry-based granulation in networks associated with commutative rings: application in social network dynamics","publication_year":2025,"publication_date":"2025-03-09","ids":{"openalex":"https://openalex.org/W4408271095","doi":"https://doi.org/10.1007/s12190-025-02430-2"},"language":"en","primary_location":{"id":"doi:10.1007/s12190-025-02430-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12190-025-02430-2","pdf_url":null,"source":{"id":"https://openalex.org/S199913245","display_name":"Journal of Applied Mathematics and Computing","issn_l":"1598-5865","issn":["1598-5865","1865-2085"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics and Computing","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/A5011401676","display_name":"Imran Javaid","orcid":"https://orcid.org/0000-0002-6174-4885"},"institutions":[{"id":"https://openalex.org/I127670440","display_name":"Bahauddin Zakariya University","ror":"https://ror.org/05x817c41","country_code":"PK","type":"education","lineage":["https://openalex.org/I127670440"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Imran Javaid","raw_affiliation_strings":["Centre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan, Pakistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan, Pakistan","institution_ids":["https://openalex.org/I127670440"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5104222176","display_name":"Abeer Fatima","orcid":null},"institutions":[{"id":"https://openalex.org/I127670440","display_name":"Bahauddin Zakariya University","ror":"https://ror.org/05x817c41","country_code":"PK","type":"education","lineage":["https://openalex.org/I127670440"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Abeer Fatima","raw_affiliation_strings":["Centre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan, Pakistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan, Pakistan","institution_ids":["https://openalex.org/I127670440"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5001270995","display_name":"Muhammad Akram","orcid":"https://orcid.org/0000-0001-7217-7962"},"institutions":[{"id":"https://openalex.org/I172780181","display_name":"University of the Punjab","ror":"https://ror.org/011maz450","country_code":"PK","type":"education","lineage":["https://openalex.org/I172780181"]}],"countries":["PK"],"is_corresponding":true,"raw_author_name":"Muhammad Akram","raw_affiliation_strings":["Department of Mathematics, University of the Punjab, Lahore, 54590, Pakistan"],"raw_orcid":"https://orcid.org/0000-0001-7217-7962","affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of the Punjab, Lahore, 54590, Pakistan","institution_ids":["https://openalex.org/I172780181"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5001270995"],"corresponding_institution_ids":["https://openalex.org/I172780181"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.05,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.71730235,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"71","issue":"4","first_page":"5205","last_page":"5230"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11106","display_name":"Data Management and Algorithms","score":0.9919999837875366,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T11106","display_name":"Data Management and Algorithms","score":0.9919999837875366,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9868000149726868,"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/T10064","display_name":"Complex Network Analysis Techniques","score":0.983299970626831,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7449624538421631},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.5808731317520142},{"id":"https://openalex.org/keywords/granulation","display_name":"Granulation","score":0.5676384568214417},{"id":"https://openalex.org/keywords/commutative-property","display_name":"Commutative property","score":0.54713374376297},{"id":"https://openalex.org/keywords/commutative-ring","display_name":"Commutative ring","score":0.5098901987075806},{"id":"https://openalex.org/keywords/dynamics","display_name":"Dynamics (music)","score":0.4873822331428528},{"id":"https://openalex.org/keywords/symmetry","display_name":"Symmetry (geometry)","score":0.42571505904197693},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3752024173736572},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.372322678565979},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.16204968094825745},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1050214171409607},{"id":"https://openalex.org/keywords/sociology","display_name":"Sociology","score":0.08771756291389465}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7449624538421631},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.5808731317520142},{"id":"https://openalex.org/C88463166","wikidata":"https://www.wikidata.org/wiki/Q1543243","display_name":"Granulation","level":2,"score":0.5676384568214417},{"id":"https://openalex.org/C183778304","wikidata":"https://www.wikidata.org/wiki/Q165474","display_name":"Commutative property","level":2,"score":0.54713374376297},{"id":"https://openalex.org/C161491579","wikidata":"https://www.wikidata.org/wiki/Q858656","display_name":"Commutative ring","level":3,"score":0.5098901987075806},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.4873822331428528},{"id":"https://openalex.org/C2779886137","wikidata":"https://www.wikidata.org/wiki/Q21030012","display_name":"Symmetry (geometry)","level":2,"score":0.42571505904197693},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3752024173736572},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.372322678565979},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.16204968094825745},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1050214171409607},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.08771756291389465},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C19417346","wikidata":"https://www.wikidata.org/wiki/Q7922","display_name":"Pedagogy","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s12190-025-02430-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12190-025-02430-2","pdf_url":null,"source":{"id":"https://openalex.org/S199913245","display_name":"Journal of Applied Mathematics and Computing","issn_l":"1598-5865","issn":["1598-5865","1865-2085"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics and Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.47999998927116394}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":46,"referenced_works":["https://openalex.org/W5432126","https://openalex.org/W299247109","https://openalex.org/W837908851","https://openalex.org/W1588699680","https://openalex.org/W1855706715","https://openalex.org/W1965886953","https://openalex.org/W1968676260","https://openalex.org/W1980605059","https://openalex.org/W1981299568","https://openalex.org/W2043931780","https://openalex.org/W2078462949","https://openalex.org/W2090291143","https://openalex.org/W2106192611","https://openalex.org/W2140982545","https://openalex.org/W2154185789","https://openalex.org/W2235896546","https://openalex.org/W2260749394","https://openalex.org/W2312649565","https://openalex.org/W2321381251","https://openalex.org/W2494390969","https://openalex.org/W2513331285","https://openalex.org/W2608746496","https://openalex.org/W2744711241","https://openalex.org/W2765840589","https://openalex.org/W2787964812","https://openalex.org/W2793605998","https://openalex.org/W2887819008","https://openalex.org/W3002778740","https://openalex.org/W3004347392","https://openalex.org/W3094741127","https://openalex.org/W3111189543","https://openalex.org/W3158827677","https://openalex.org/W3202265216","https://openalex.org/W4214521955","https://openalex.org/W4224847242","https://openalex.org/W4255833381","https://openalex.org/W4280563989","https://openalex.org/W4320168990","https://openalex.org/W4360979307","https://openalex.org/W4376879010","https://openalex.org/W4388377850","https://openalex.org/W4390431232","https://openalex.org/W4394602787","https://openalex.org/W4394605085","https://openalex.org/W4399391861","https://openalex.org/W4403388980"],"related_works":["https://openalex.org/W2123804754","https://openalex.org/W4308298797","https://openalex.org/W4255963200","https://openalex.org/W2360590989","https://openalex.org/W2369074270","https://openalex.org/W4255391830","https://openalex.org/W2015466415","https://openalex.org/W2953844587","https://openalex.org/W4288363881","https://openalex.org/W1565509971"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-06-13T06:13:01.061226","created_date":"2025-10-10T00:00:00"}