{"id":"https://openalex.org/W4410409279","doi":"https://doi.org/10.3390/sym17050766","title":"Analyzing Network Stability via Symmetric Structures and Domination Integrity in Signed Fuzzy Graphs","display_name":"Analyzing Network Stability via Symmetric Structures and Domination Integrity in Signed Fuzzy Graphs","publication_year":2025,"publication_date":"2025-05-15","ids":{"openalex":"https://openalex.org/W4410409279","doi":"https://doi.org/10.3390/sym17050766"},"language":"en","primary_location":{"id":"doi:10.3390/sym17050766","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym17050766","pdf_url":"https://www.mdpi.com/2073-8994/17/5/766/pdf?version=1747302181","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2073-8994/17/5/766/pdf?version=1747302181","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5017468149","display_name":"Sankar Chakaravarthy","orcid":"https://orcid.org/0000-0002-1872-1346"},"institutions":[{"id":"https://openalex.org/I4210101093","display_name":"St. Joseph's Institute of Technology","ror":"https://ror.org/012npkr10","country_code":"IN","type":"education","lineage":["https://openalex.org/I4210101093"]},{"id":"https://openalex.org/I4387154592","display_name":"St. Joseph\u2019s College of Engineering","ror":"https://ror.org/01g3pby21","country_code":null,"type":"education","lineage":["https://openalex.org/I4387154592"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Chakaravarthy Sankar","raw_affiliation_strings":["Department of Mathematics, St. Joseph\u2019s College of Engineering, OMR, Chennai 600119, Tamilnadu, India"],"raw_orcid":"https://orcid.org/0000-0002-1872-1346","affiliations":[{"raw_affiliation_string":"Department of Mathematics, St. Joseph\u2019s College of Engineering, OMR, Chennai 600119, Tamilnadu, India","institution_ids":["https://openalex.org/I4210101093","https://openalex.org/I4387154592"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5040985677","display_name":"Kalaivani Chandran","orcid":"https://orcid.org/0000-0003-3632-2282"},"institutions":[{"id":"https://openalex.org/I20107917","display_name":"Sri Ramachandra Institute of Higher Education and Research","ror":"https://ror.org/0108gdg43","country_code":"IN","type":"education","lineage":["https://openalex.org/I20107917"]},{"id":"https://openalex.org/I916357946","display_name":"Sri Sivasubramaniya Nadar College of Engineering","ror":"https://ror.org/054psm803","country_code":"IN","type":"education","lineage":["https://openalex.org/I916357946"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Chandran Kalaivani","raw_affiliation_strings":["Department of Mathematics, Sri Sivasubramaniya Nadar College of Engineering, OMR, Chennai 603110, Tamilnadu, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Sri Sivasubramaniya Nadar College of Engineering, OMR, Chennai 603110, Tamilnadu, India","institution_ids":["https://openalex.org/I20107917","https://openalex.org/I916357946"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5054945233","display_name":"P. Chellamani","orcid":null},"institutions":[{"id":"https://openalex.org/I4210101093","display_name":"St. Joseph's Institute of Technology","ror":"https://ror.org/012npkr10","country_code":"IN","type":"education","lineage":["https://openalex.org/I4210101093"]},{"id":"https://openalex.org/I4387154592","display_name":"St. Joseph\u2019s College of Engineering","ror":"https://ror.org/01g3pby21","country_code":null,"type":"education","lineage":["https://openalex.org/I4387154592"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Perumal Chellamani","raw_affiliation_strings":["Department of Mathematics, St. Joseph\u2019s College of Engineering, OMR, Chennai 600119, Tamilnadu, India"],"raw_orcid":"https://orcid.org/0000-0002-9735-1004","affiliations":[{"raw_affiliation_string":"Department of Mathematics, St. Joseph\u2019s College of Engineering, OMR, Chennai 600119, Tamilnadu, India","institution_ids":["https://openalex.org/I4210101093","https://openalex.org/I4387154592"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5070400934","display_name":"Gangatharan Venkat Narayanan","orcid":"https://orcid.org/0000-0003-0163-6409"},"institutions":[{"id":"https://openalex.org/I4210101093","display_name":"St. Joseph's Institute of Technology","ror":"https://ror.org/012npkr10","country_code":"IN","type":"education","lineage":["https://openalex.org/I4210101093"]},{"id":"https://openalex.org/I4387154592","display_name":"St. Joseph\u2019s College of Engineering","ror":"https://ror.org/01g3pby21","country_code":null,"type":"education","lineage":["https://openalex.org/I4387154592"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Gangatharan Venkat Narayanan","raw_affiliation_strings":["Department of Mathematics, St. Joseph\u2019s College of Engineering, OMR, Chennai 600119, Tamilnadu, India"],"raw_orcid":"https://orcid.org/0000-0003-0163-6409","affiliations":[{"raw_affiliation_string":"Department of Mathematics, St. Joseph\u2019s College of Engineering, OMR, Chennai 600119, Tamilnadu, India","institution_ids":["https://openalex.org/I4210101093","https://openalex.org/I4387154592"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5017468149"],"corresponding_institution_ids":["https://openalex.org/I4210101093","https://openalex.org/I4387154592"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2227},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2227},"fwci":0.7052,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.68859406,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"17","issue":"5","first_page":"766","last_page":"766"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.9945999979972839,"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"}},"topics":[{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.9945999979972839,"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"}},{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9901999831199646,"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":0.9628000259399414,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5106080174446106},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.49413564801216125},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4892144203186035},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4589155614376068},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.343010276556015},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1485733687877655}],"concepts":[{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5106080174446106},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.49413564801216125},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4892144203186035},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4589155614376068},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.343010276556015},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1485733687877655},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3390/sym17050766","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym17050766","pdf_url":"https://www.mdpi.com/2073-8994/17/5/766/pdf?version=1747302181","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.3390/sym17050766","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym17050766","pdf_url":"https://www.mdpi.com/2073-8994/17/5/766/pdf?version=1747302181","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4410409279.pdf","grobid_xml":"https://content.openalex.org/works/W4410409279.grobid-xml"},"referenced_works_count":30,"referenced_works":["https://openalex.org/W172770676","https://openalex.org/W1560893303","https://openalex.org/W1968565007","https://openalex.org/W1976884664","https://openalex.org/W1977339532","https://openalex.org/W1982730259","https://openalex.org/W2038662792","https://openalex.org/W2044765840","https://openalex.org/W2055582632","https://openalex.org/W2056936153","https://openalex.org/W2059346274","https://openalex.org/W2065262755","https://openalex.org/W2104542964","https://openalex.org/W2126563020","https://openalex.org/W2797766692","https://openalex.org/W2883916643","https://openalex.org/W2956040375","https://openalex.org/W2981419729","https://openalex.org/W3106682082","https://openalex.org/W4210377039","https://openalex.org/W4281675093","https://openalex.org/W4292431610","https://openalex.org/W4400204909","https://openalex.org/W4404315912","https://openalex.org/W4404828492","https://openalex.org/W4407084329","https://openalex.org/W6633824346","https://openalex.org/W6750669568","https://openalex.org/W6840602130","https://openalex.org/W6842469033"],"related_works":["https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027"],"abstract_inverted_index":{"The":[0,50,131,172,221],"concept":[1],"of":[2,9,47,52,62,75,104,128,179,215,223,238],"domination":[3,55,118,152,180,216,224],"is":[4,64,90,108,230],"introduced":[5],"within":[6],"the":[7,44,54,60,102,123,129,169,177,212,236],"context":[8],"signed":[10,98],"fuzzy":[11,99],"graphs":[12,144],"(signed-FGs),":[13],"along":[14,92],"with":[15,93,137,155],"examples,":[16],"as":[17,142,208,210,232],"a":[18,39,67],"novel":[19],"metric":[20,29],"to":[21,42,116,122,167],"evaluate":[22],"graph":[23,139,228],"stability":[24,46,125],"under":[25],"varying":[26],"conditions.":[27],"This":[28],"particularly":[30],"focuses":[31],"on":[32,69],"dominant":[33,201],"sets":[34,202],"and":[35,72,78,87,126,145,194,205],"integrity":[36,56,153,181,217,225],"measures,":[37],"providing":[38],"well-rounded":[40],"approach":[41],"assessing":[43],"structural":[45],"signed-":[48],"FGs.":[49],"necessity":[51],"fulfilling":[53],"condition":[57],"in":[58,106,151,182,203,218],"evaluating":[59],"performance":[61],"signed-FGs":[63,107],"highlighted":[65],"through":[66],"discussion":[68],"its":[70,76],"formulation":[71],"an":[73,94],"analysis":[74],"upper":[77],"lower":[79,213],"bounds.":[80],"An":[81],"algorithm":[82,95],"for":[83,96,234],"identifying":[84,97,199],"strong":[85],"arcs":[86],"classifying":[88],"them":[89],"presented,":[91],"trees.":[100],"Furthermore,":[101],"role":[103],"symmetry":[105],"explored,":[109],"revealing":[110],"that":[111,149],"symmetrical":[112],"structures":[113],"often":[114],"correspond":[115],"higher":[117],"integrity,":[119],"thus":[120],"contributing":[121],"improved":[124],"predictability":[127],"graphs.":[130],"paper":[132],"also":[133],"establishes":[134],"important":[135],"connections":[136],"classical":[138],"varieties,":[140],"such":[141],"complete":[143],"their":[146],"variations,":[147],"demonstrating":[148],"changes":[150],"increase":[154],"certain":[156],"parameters.":[157],"Additionally,":[158],"real-life":[159],"scenarios":[160],"where":[161,189],"these":[162,219],"concepts":[163],"are":[164],"applicable":[165],"serve":[166],"complement":[168],"theoretical":[170],"results.":[171],"case":[173],"study":[174],"findings":[175],"illustrate":[176],"significance":[178],"practical":[183],"contexts":[184],"by":[185],"emphasizing":[186],"various":[187],"instances":[188,197],"it":[190],"can":[191],"be":[192],"determined":[193],"utilized.":[195],"Such":[196],"include":[198],"independent":[200],"path":[204],"cycle":[206],"diagrams,":[207],"well":[209],"estimating":[211],"bounds":[214],"structures.":[220],"estimation":[222],"using":[226],"block":[227],"methods":[229],"underscored":[231],"crucial":[233],"enhancing":[235],"efficiency":[237],"signed-FG":[239],"applications.":[240]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}