{"id":"https://openalex.org/W2626572505","doi":"https://doi.org/10.37236/6544","title":"Erd\u0151s-Ko-Rado Type Theorems for Simplicial Complexes","display_name":"Erd\u0151s-Ko-Rado Type Theorems for Simplicial Complexes","publication_year":2017,"publication_date":"2017-06-16","ids":{"openalex":"https://openalex.org/W2626572505","doi":"https://doi.org/10.37236/6544","mag":"2626572505"},"language":"en","primary_location":{"id":"doi:10.37236/6544","is_oa":true,"landing_page_url":"https://doi.org/10.37236/6544","pdf_url":null,"source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://doi.org/10.37236/6544","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5004484087","display_name":"S. A. Seyed Fakhari","orcid":"https://orcid.org/0009-0006-3490-1896"},"institutions":[{"id":"https://openalex.org/I23946033","display_name":"University of Tehran","ror":"https://ror.org/05vf56z40","country_code":"IR","type":"education","lineage":["https://openalex.org/I23946033"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"Seyed Amin Seyed Fakhari","raw_affiliation_strings":["University of Tehran"],"affiliations":[{"raw_affiliation_string":"University of Tehran","institution_ids":["https://openalex.org/I23946033"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5004484087"],"corresponding_institution_ids":["https://openalex.org/I23946033"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.09937659,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"24","issue":"2","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":0.998199999332428,"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"}},"topics":[{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":0.998199999332428,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9944000244140625,"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":0.9930999875068665,"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/combinatorics","display_name":"Combinatorics","score":0.8567113876342773},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8313062191009521},{"id":"https://openalex.org/keywords/simplicial-complex","display_name":"Simplicial complex","score":0.7420305013656616},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.6073122620582581},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.595425009727478}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8567113876342773},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8313062191009521},{"id":"https://openalex.org/C187929450","wikidata":"https://www.wikidata.org/wiki/Q994399","display_name":"Simplicial complex","level":2,"score":0.7420305013656616},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.6073122620582581},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.595425009727478},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.37236/6544","is_oa":true,"landing_page_url":"https://doi.org/10.37236/6544","pdf_url":null,"source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.37236/6544","is_oa":true,"landing_page_url":"https://doi.org/10.37236/6544","pdf_url":null,"source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W1978042415","https://openalex.org/W3086542228","https://openalex.org/W2017331178","https://openalex.org/W2976797620","https://openalex.org/W2349865494","https://openalex.org/W2372553222","https://openalex.org/W2352982982","https://openalex.org/W2090558690","https://openalex.org/W3157620392","https://openalex.org/W2626572505"],"abstract_inverted_index":{"It":[0,27],"is":[1,9,23,28,36,55,74],"shown":[2],"that":[3,15,31,52],"every":[4,19,32],"shifted":[5],"simplicial":[6,34,71],"complex":[7,35,72],"$\\Delta$":[8,22],"EKR":[10,37,75],"of":[11,18,21,38,76,81,88],"type":[12,39,77],"$(r,s)$,":[13],"provided":[14],"the":[16,85],"size":[17],"facet":[20],"at":[24,59],"least":[25,60],"$(2s+1)r-s$.":[26],"moreover":[29],"proven":[30],"$i$-near-cone":[33],"$(r,i)$":[40],"if":[41,53],"${\\rm":[42],"depth}_{\\mathbb{K}}\\Delta\\geq":[43],"(2i+1)r-i-1$,":[44],"for":[45],"some":[46],"field":[47],"$\\mathbb{K}$.":[48],"Furthermore,":[49],"we":[50],"prove":[51],"$G$":[54],"a":[56],"graph":[57],"having":[58],"$(2i+1)r-i$":[61],"connected":[62],"components,":[63],"including":[64],"$i$":[65],"isolated":[66],"vertices,":[67],"then":[68],"its":[69],"independence":[70],"$\\Delta_G$":[73],"$(r,i)$.":[78],"The":[79],"results":[80],"this":[82],"paper,":[83],"generalize":[84],"main":[86],"result":[87],"Frankl":[89],"(2013).":[90]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}