{"id":"https://openalex.org/W2799738417","doi":"https://doi.org/10.1142/s1793830918500477","title":"Perfectness of a graph associated with annihilating ideals of a ring","display_name":"Perfectness of a graph associated with annihilating ideals of a ring","publication_year":2018,"publication_date":"2018-04-23","ids":{"openalex":"https://openalex.org/W2799738417","doi":"https://doi.org/10.1142/s1793830918500477","mag":"2799738417"},"language":"en","primary_location":{"id":"doi:10.1142/s1793830918500477","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830918500477","pdf_url":null,"source":{"id":"https://openalex.org/S178434951","display_name":"Discrete Mathematics Algorithms and Applications","issn_l":"1793-8309","issn":["1793-8309","1793-8317"],"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":"Discrete Mathematics, Algorithms and Applications","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/A5051780476","display_name":"Vahid Aghapouramin","orcid":"https://orcid.org/0000-0002-9902-4373"},"institutions":[{"id":"https://openalex.org/I204588832","display_name":"Islamic Azad University, Karaj","ror":"https://ror.org/01y4xm534","country_code":"IR","type":"education","lineage":["https://openalex.org/I110525433","https://openalex.org/I204588832"]},{"id":"https://openalex.org/I80543232","display_name":"K.N.Toosi University of Technology","ror":"https://ror.org/0433abe34","country_code":"IR","type":"education","lineage":["https://openalex.org/I80543232"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"V. Aghapouramin","raw_affiliation_strings":["Department of Mathematics, Karaj Branch, Islamic Azad University of Karaj, Karaj, Iran","Faculty of Mathematics, K. N. Toosi University of Technology, Tehran, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Karaj Branch, Islamic Azad University of Karaj, Karaj, Iran","institution_ids":["https://openalex.org/I204588832"]},{"raw_affiliation_string":"Faculty of Mathematics, K. N. Toosi University of Technology, Tehran, Iran","institution_ids":["https://openalex.org/I80543232"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5032538179","display_name":"M. J. Nikmehr","orcid":"https://orcid.org/0000-0001-6912-3955"},"institutions":[{"id":"https://openalex.org/I204588832","display_name":"Islamic Azad University, Karaj","ror":"https://ror.org/01y4xm534","country_code":"IR","type":"education","lineage":["https://openalex.org/I110525433","https://openalex.org/I204588832"]},{"id":"https://openalex.org/I80543232","display_name":"K.N.Toosi University of Technology","ror":"https://ror.org/0433abe34","country_code":"IR","type":"education","lineage":["https://openalex.org/I80543232"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"M. J. Nikmehr","raw_affiliation_strings":["Department of Mathematics, Karaj Branch, Islamic Azad University of Karaj, Karaj, Iran","Faculty of Mathematics, K. N. Toosi University of Technology, Tehran, Iran"],"raw_orcid":"https://orcid.org/0000-0001-6912-3955","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Karaj Branch, Islamic Azad University of Karaj, Karaj, Iran","institution_ids":["https://openalex.org/I204588832"]},{"raw_affiliation_string":"Faculty of Mathematics, K. N. Toosi University of Technology, Tehran, Iran","institution_ids":["https://openalex.org/I80543232"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.9419,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.70217006,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"10","issue":"04","first_page":"1850047","last_page":"1850047"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11703","display_name":"Rings, Modules, and Algebras","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11703","display_name":"Rings, Modules, and Algebras","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12069","display_name":"Commutative Algebra and Its Applications","score":0.9851999878883362,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10287","display_name":"Algebraic structures and combinatorial models","score":0.9559999704360962,"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/mathematics","display_name":"Mathematics","score":0.8269517421722412},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.712497353553772},{"id":"https://openalex.org/keywords/clique-number","display_name":"Clique number","score":0.626923680305481},{"id":"https://openalex.org/keywords/commutative-ring","display_name":"Commutative ring","score":0.524087131023407},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.49979114532470703},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4259834289550781},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4236701726913452},{"id":"https://openalex.org/keywords/ideal","display_name":"Ideal (ethics)","score":0.41829100251197815},{"id":"https://openalex.org/keywords/commutative-property","display_name":"Commutative property","score":0.24282389879226685}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8269517421722412},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.712497353553772},{"id":"https://openalex.org/C2985491264","wikidata":"https://www.wikidata.org/wiki/Q761631","display_name":"Clique number","level":3,"score":0.626923680305481},{"id":"https://openalex.org/C161491579","wikidata":"https://www.wikidata.org/wiki/Q858656","display_name":"Commutative ring","level":3,"score":0.524087131023407},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.49979114532470703},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4259834289550781},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4236701726913452},{"id":"https://openalex.org/C2776639384","wikidata":"https://www.wikidata.org/wiki/Q840396","display_name":"Ideal (ethics)","level":2,"score":0.41829100251197815},{"id":"https://openalex.org/C183778304","wikidata":"https://www.wikidata.org/wiki/Q165474","display_name":"Commutative property","level":2,"score":0.24282389879226685},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s1793830918500477","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830918500477","pdf_url":null,"source":{"id":"https://openalex.org/S178434951","display_name":"Discrete Mathematics Algorithms and Applications","issn_l":"1793-8309","issn":["1793-8309","1793-8317"],"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":"Discrete Mathematics, Algorithms and Applications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W181219113","https://openalex.org/W1891879092","https://openalex.org/W1975461789","https://openalex.org/W1987023204","https://openalex.org/W2002257546","https://openalex.org/W2007042838","https://openalex.org/W2572431300","https://openalex.org/W2595399821","https://openalex.org/W3141776272"],"related_works":["https://openalex.org/W2508687891","https://openalex.org/W3089568954","https://openalex.org/W4293501550","https://openalex.org/W2226608806","https://openalex.org/W1987843142","https://openalex.org/W4205993708","https://openalex.org/W2949282300","https://openalex.org/W2099815964","https://openalex.org/W2998995768","https://openalex.org/W1417563511"],"abstract_inverted_index":{"Let":[0,43],"[Formula:":[1,18,24,35,40,44,54,69,76,85,94,130],"see":[2,19,25,36,41,45,55,70,77,86,95,131],"text]":[3,20,26,37,46,56,71,78,87,132],"be":[4,47],"a":[5,22,48,101],"commutative":[6],"ring":[7,23],"with":[8,53],"identity":[9],"which":[10,104],"is":[11,27,60,88,100,133],"not":[12],"an":[13,29,90],"integral":[14],"domain.":[15],"An":[16],"ideal":[17,31,92],"of":[21,63,68,93,108,115,119],"called":[28],"annihilating":[30,66,91],"if":[32,81,84],"there":[33],"exists":[34],"such":[38],"that":[39,120],"text].":[42,96],"simple":[49],"undirect":[50],"graph":[51,99,102],"associated":[52],"whose":[57,129],"vertex":[58],"set":[59,62],"the":[61,105,113,116],"all":[64,127],"nonzero":[65],"ideals":[67],"and":[72,82],"two":[73],"distinct":[74],"vertices":[75],"are":[79],"joined":[80],"only":[83],"also":[89],"A":[97],"perfect":[98],"in":[103],"chromatic":[106],"number":[107],"every":[109],"induced":[110],"subgraph":[111],"equals":[112],"size":[114],"largest":[117],"clique":[118],"subgraph.":[121],"In":[122],"this":[123],"paper,":[124],"we":[125],"characterize":[126],"rings":[128],"perfect.":[134]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
