{"id":"https://openalex.org/W1978547731","doi":"https://doi.org/10.1137/080722898","title":"Kneser Representations of Graphs","display_name":"Kneser Representations of Graphs","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W1978547731","doi":"https://doi.org/10.1137/080722898","mag":"1978547731"},"language":"en","primary_location":{"id":"doi:10.1137/080722898","is_oa":false,"landing_page_url":"https://doi.org/10.1137/080722898","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Discrete Mathematics","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/A5013082644","display_name":"Peter Hamburger","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Peter Hamburger","raw_affiliation_strings":["peter.hamburger@wku.edu and attila.por@wku.edu#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"peter.hamburger@wku.edu and attila.por@wku.edu#TAB#","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5088282000","display_name":"Attila P\u00f3r","orcid":"https://orcid.org/0000-0002-4242-865X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Attila Por","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5069277611","display_name":"Matt Walsh","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Matt Walsh","raw_affiliation_strings":["[email\u00a0protected]#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"[email\u00a0protected]#TAB#","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.4746,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.54453723,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"23","issue":"2","first_page":"1071","last_page":"1081"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9936000108718872,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9936000108718872,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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":0.9879999756813049,"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":0.9840999841690063,"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":0.8271306753158569},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.78182053565979},{"id":"https://openalex.org/keywords/disjoint-sets","display_name":"Disjoint sets","score":0.6413493156433105},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.5203004479408264},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5196265578269958},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5151128172874451},{"id":"https://openalex.org/keywords/simple-graph","display_name":"Simple graph","score":0.422306627035141},{"id":"https://openalex.org/keywords/cograph","display_name":"Cograph","score":0.41580528020858765},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.2607402503490448},{"id":"https://openalex.org/keywords/pathwidth","display_name":"Pathwidth","score":0.1968216896057129}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8271306753158569},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.78182053565979},{"id":"https://openalex.org/C45340560","wikidata":"https://www.wikidata.org/wiki/Q215382","display_name":"Disjoint sets","level":2,"score":0.6413493156433105},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.5203004479408264},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5196265578269958},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5151128172874451},{"id":"https://openalex.org/C2993105083","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Simple graph","level":3,"score":0.422306627035141},{"id":"https://openalex.org/C59824394","wikidata":"https://www.wikidata.org/wiki/Q5141281","display_name":"Cograph","level":5,"score":0.41580528020858765},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.2607402503490448},{"id":"https://openalex.org/C43517604","wikidata":"https://www.wikidata.org/wiki/Q7144893","display_name":"Pathwidth","level":4,"score":0.1968216896057129}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/080722898","is_oa":false,"landing_page_url":"https://doi.org/10.1137/080722898","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Discrete Mathematics","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":3,"referenced_works":["https://openalex.org/W1983193381","https://openalex.org/W2048790237","https://openalex.org/W2068795011"],"related_works":["https://openalex.org/W3160792420","https://openalex.org/W4287181997","https://openalex.org/W2886071965","https://openalex.org/W4297803065","https://openalex.org/W3103034549","https://openalex.org/W3168725788","https://openalex.org/W2951305269","https://openalex.org/W4310825608","https://openalex.org/W2897806428","https://openalex.org/W2078517125"],"abstract_inverted_index":{"The":[0],"Kneser":[1,38],"graph":[2,28],"$K_{n:k}$":[3],"for":[4],"positive":[5],"integers":[6],"$n\\ge":[7],"k$":[8],"has":[9],"as":[10,32],"its":[11],"vertex":[12],"set":[13],"the":[14],"k-element":[15],"subsets":[16],"of":[17,36],"some":[18,37,43],"n-set,":[19],"with":[20],"disjoint":[21],"sets":[22],"being":[23],"adjacent.":[24],"Every":[25],"finite":[26],"simple":[27],"can":[29],"be":[30],"found":[31],"an":[33],"induced":[34],"subgraph":[35],"graph;":[39],"this":[40],"article":[41],"explores":[42],"questions":[44],"arising":[45],"from":[46],"that":[47],"fact.":[48]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}