{"id":"https://openalex.org/W2027718568","doi":"https://doi.org/10.1142/s1793830914500360","title":"The intersection graph of ideals of a poset","display_name":"The intersection graph of ideals of a poset","publication_year":2014,"publication_date":"2014-03-12","ids":{"openalex":"https://openalex.org/W2027718568","doi":"https://doi.org/10.1142/s1793830914500360","mag":"2027718568"},"language":"en","primary_location":{"id":"doi:10.1142/s1793830914500360","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830914500360","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/A5019177905","display_name":"Mojgan Afkhami","orcid":"https://orcid.org/0000-0002-6819-3086"},"institutions":[{"id":"https://openalex.org/I1312987727","display_name":"University of Neyshabur","ror":"https://ror.org/01x41eb05","country_code":"IR","type":"education","lineage":["https://openalex.org/I1312987727"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"Mojgan Afkhami","raw_affiliation_strings":["Department of Mathematics, University of Neyshabur, P. O. Box 91136-899, Neyshabur, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Neyshabur, P. O. Box 91136-899, Neyshabur, Iran","institution_ids":["https://openalex.org/I1312987727"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5067556620","display_name":"Kazem Khashyarmanesh","orcid":"https://orcid.org/0000-0003-3314-7298"},"institutions":[{"id":"https://openalex.org/I86958956","display_name":"Ferdowsi University of Mashhad","ror":"https://ror.org/00g6ka752","country_code":"IR","type":"education","lineage":["https://openalex.org/I86958956"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Kazem Khashyarmanesh","raw_affiliation_strings":["Department of Pure Mathematics, Ferdowsi University of Mashhad, P. O. Box 1159-91775, Mashhad, Iran","Department of Pure Mathematics, Ferdowsi University of Mashhad, P.O. Box 1159-#N#91775, Mashhad, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Pure Mathematics, Ferdowsi University of Mashhad, P. O. Box 1159-91775, Mashhad, Iran","institution_ids":["https://openalex.org/I86958956"]},{"raw_affiliation_string":"Department of Pure Mathematics, Ferdowsi University of Mashhad, P.O. Box 1159-#N#91775, Mashhad, Iran","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5019177905"],"corresponding_institution_ids":["https://openalex.org/I1312987727"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.11011419,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"06","issue":"03","first_page":"1450036","last_page":"1450036"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12069","display_name":"Commutative Algebra and Its Applications","score":0.9998000264167786,"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/T12069","display_name":"Commutative Algebra and Its Applications","score":0.9998000264167786,"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/T11703","display_name":"Rings, Modules, and Algebras","score":0.9934999942779541,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9793999791145325,"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/combinatorics","display_name":"Combinatorics","score":0.8135000467300415},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7384632229804993},{"id":"https://openalex.org/keywords/partially-ordered-set","display_name":"Partially ordered set","score":0.7074508666992188},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5365365147590637},{"id":"https://openalex.org/keywords/clique-graph","display_name":"Clique graph","score":0.5239270329475403},{"id":"https://openalex.org/keywords/intersection-graph","display_name":"Intersection graph","score":0.4886379837989807},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.47122442722320557},{"id":"https://openalex.org/keywords/intersection","display_name":"Intersection (aeronautics)","score":0.46167609095573425},{"id":"https://openalex.org/keywords/planarity-testing","display_name":"Planarity testing","score":0.4431019425392151},{"id":"https://openalex.org/keywords/algebraic-properties","display_name":"Algebraic properties","score":0.4407919943332672},{"id":"https://openalex.org/keywords/graph-power","display_name":"Graph power","score":0.2451203167438507},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.20465654134750366}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8135000467300415},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7384632229804993},{"id":"https://openalex.org/C180645754","wikidata":"https://www.wikidata.org/wiki/Q474715","display_name":"Partially ordered set","level":2,"score":0.7074508666992188},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5365365147590637},{"id":"https://openalex.org/C189239283","wikidata":"https://www.wikidata.org/wiki/Q17101022","display_name":"Clique graph","level":5,"score":0.5239270329475403},{"id":"https://openalex.org/C54540088","wikidata":"https://www.wikidata.org/wiki/Q3498041","display_name":"Intersection graph","level":4,"score":0.4886379837989807},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.47122442722320557},{"id":"https://openalex.org/C64543145","wikidata":"https://www.wikidata.org/wiki/Q162942","display_name":"Intersection (aeronautics)","level":2,"score":0.46167609095573425},{"id":"https://openalex.org/C68260962","wikidata":"https://www.wikidata.org/wiki/Q7200967","display_name":"Planarity testing","level":2,"score":0.4431019425392151},{"id":"https://openalex.org/C2989065042","wikidata":"https://www.wikidata.org/wiki/Q7378971","display_name":"Algebraic properties","level":2,"score":0.4407919943332672},{"id":"https://openalex.org/C149530733","wikidata":"https://www.wikidata.org/wiki/Q5597091","display_name":"Graph power","level":4,"score":0.2451203167438507},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.20465654134750366},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s1793830914500360","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830914500360","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":5,"referenced_works":["https://openalex.org/W174339693","https://openalex.org/W1484040084","https://openalex.org/W2093397547","https://openalex.org/W2120567989","https://openalex.org/W2343568376"],"related_works":["https://openalex.org/W4289671199","https://openalex.org/W2950813087","https://openalex.org/W2134071260","https://openalex.org/W3048934943","https://openalex.org/W2098381534","https://openalex.org/W1921410212","https://openalex.org/W2048237851","https://openalex.org/W2045519960","https://openalex.org/W2064150325","https://openalex.org/W2027718568"],"abstract_inverted_index":{"Let":[0],"(P,":[1],"\u2264)":[2],"be":[3],"a":[4,11,26],"partially":[5],"ordered":[6],"set":[7],"(poset,":[8],"briefly)":[9],"with":[10],"least":[12],"element":[13],"0.":[14],"The":[15],"intersection":[16,82],"graph":[17,27],"of":[18,20,34,65,70,80,96],"ideal":[19],"P,":[21],"denoted":[22],"by":[23],"G(P),":[24],"is":[25,98,102],"whose":[28],"vertices":[29,39],"are":[30,43],"all":[31],"non-trivial":[32],"ideals":[33],"P":[35,101],"and":[36,41,46,67,78],"two":[37],"distinct":[38],"I":[40,49],"J":[42,51],"adjacent":[44],"if":[45,48,92],"only":[47],"\u2229":[50],"\u2260":[52],"{0}.":[53],"In":[54],"this":[55],"paper,":[56],"we":[57,89],"study":[58],"some":[59],"relations":[60],"between":[61],"the":[62,74,81,86,93],"algebraic":[63],"properties":[64,69],"posets":[66],"graph-theoretic":[68],"G(P).":[71],"We":[72],"investigate":[73],"connectivity,":[75],"diameter,":[76],"girth":[77],"planarity":[79],"graph.":[83],"Also,":[84],"among":[85],"other":[87],"things,":[88],"show":[90],"that":[91],"clique":[94],"number":[95],"G(P)":[97],"finite,":[99],"then":[100],"finite":[103],"too.":[104]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
