{"id":"https://openalex.org/W2014293030","doi":"https://doi.org/10.1155/2012/508580","title":"A Note on Some Generalized Closed Sets in Bitopological Spaces Associated to Digraphs","display_name":"A Note on Some Generalized Closed Sets in Bitopological Spaces Associated to Digraphs","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W2014293030","doi":"https://doi.org/10.1155/2012/508580","mag":"2014293030"},"language":"en","primary_location":{"id":"doi:10.1155/2012/508580","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/508580","pdf_url":"https://downloads.hindawi.com/journals/jam/2012/508580.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/jam/2012/508580.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5026550770","display_name":"K. Kannan","orcid":"https://orcid.org/0000-0002-8837-3324"},"institutions":[{"id":"https://openalex.org/I932239252","display_name":"SASTRA University","ror":"https://ror.org/032jk8892","country_code":"IN","type":"education","lineage":["https://openalex.org/I932239252"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"K. Kannan","raw_affiliation_strings":["Department of Mathematics, Srinivasa Ramanujan Centre, SASTRA University, Kumbakonam 612 001, India","Department of Mathematics, Srinivasa Ramanujan Centre, SASTRA University, Kumbakonam 612 001"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Srinivasa Ramanujan Centre, SASTRA University, Kumbakonam 612 001, India","institution_ids":["https://openalex.org/I932239252"]},{"raw_affiliation_string":"Department of Mathematics, Srinivasa Ramanujan Centre, SASTRA University, Kumbakonam 612 001","institution_ids":["https://openalex.org/I932239252"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5026550770"],"corresponding_institution_ids":["https://openalex.org/I932239252"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":2.0699,"has_fulltext":true,"cited_by_count":7,"citation_normalized_percentile":{"value":0.87355331,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"2012","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9995999932289124,"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":0.9995999932289124,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.991599977016449,"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/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9666000008583069,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/digraph","display_name":"Digraph","score":0.9486585855484009},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.797223687171936},{"id":"https://openalex.org/keywords/closed-set","display_name":"Closed set","score":0.6426219344139099},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.49247536063194275},{"id":"https://openalex.org/keywords/topological-space","display_name":"Topological space","score":0.4809248149394989},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4646000564098358},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3765658140182495},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.36327359080314636},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.29056137800216675}],"concepts":[{"id":"https://openalex.org/C2779145032","wikidata":"https://www.wikidata.org/wiki/Q191494","display_name":"Digraph","level":2,"score":0.9486585855484009},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.797223687171936},{"id":"https://openalex.org/C164953516","wikidata":"https://www.wikidata.org/wiki/Q320357","display_name":"Closed set","level":2,"score":0.6426219344139099},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.49247536063194275},{"id":"https://openalex.org/C81332173","wikidata":"https://www.wikidata.org/wiki/Q179899","display_name":"Topological space","level":2,"score":0.4809248149394989},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4646000564098358},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3765658140182495},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.36327359080314636},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.29056137800216675}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1155/2012/508580","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/508580","pdf_url":"https://downloads.hindawi.com/journals/jam/2012/508580.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.jam/1355495244","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jam/1355495244","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:RePEc:hin:jnljam:508580","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/JAM/2012/508580.xml","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"},{"id":"pmh:oai:doaj.org/article:af1504a5356a45dcb0932bfbfe53288d","is_oa":true,"landing_page_url":"https://doaj.org/article/af1504a5356a45dcb0932bfbfe53288d","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Applied Mathematics, Vol 2012 (2012)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2012/508580","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/508580","pdf_url":"https://downloads.hindawi.com/journals/jam/2012/508580.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.5099999904632568,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2014293030.pdf","grobid_xml":"https://content.openalex.org/works/W2014293030.grobid-xml"},"referenced_works_count":22,"referenced_works":["https://openalex.org/W175588769","https://openalex.org/W258352349","https://openalex.org/W354043338","https://openalex.org/W1977348098","https://openalex.org/W2003230391","https://openalex.org/W2009213880","https://openalex.org/W2015256532","https://openalex.org/W2055225885","https://openalex.org/W2092266125","https://openalex.org/W2214256875","https://openalex.org/W2234538093","https://openalex.org/W2243808376","https://openalex.org/W2306206633","https://openalex.org/W2313077036","https://openalex.org/W2326615123","https://openalex.org/W2333978079","https://openalex.org/W4238617164","https://openalex.org/W4249939961","https://openalex.org/W4285719527","https://openalex.org/W6698194894","https://openalex.org/W7024643311","https://openalex.org/W7042468690"],"related_works":["https://openalex.org/W4362730653","https://openalex.org/W2242030523","https://openalex.org/W2762496676","https://openalex.org/W2985651944","https://openalex.org/W2757773572","https://openalex.org/W2755691295","https://openalex.org/W2270758631","https://openalex.org/W2757955226","https://openalex.org/W2617634295","https://openalex.org/W806486029"],"abstract_inverted_index":{"Many":[0],"investigations":[1],"are":[2,55],"undergoing":[3],"of":[4,15,26],"the":[5,22,32,37,48,53],"relationship":[6],"between":[7,43],"topological":[8],"spaces":[9,34,50],"and":[10,24],"graph":[11],"theory.":[12],"The":[13],"aim":[14],"this":[16],"short":[17],"communication":[18],"is":[19],"to":[20,36,52],"study":[21],"nature":[23],"properties":[25],"some":[27,41],"generalized":[28,44],"closed":[29,45],"sets":[30,46],"in":[31,47],"bitopological":[33,49],"associated":[35,51],"digraph.":[38],"In":[39],"particular,":[40],"relations":[42],"digraph":[54],"characterized.":[56]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2016-06-24T00:00:00"}