{"id":"https://openalex.org/W2091130629","doi":"https://doi.org/10.7151/dmgt.1620","title":"Erd\u00f6s-Ko-Rado from intersecting shadows","display_name":"Erd\u00f6s-Ko-Rado from intersecting shadows","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W2091130629","doi":"https://doi.org/10.7151/dmgt.1620","mag":"2091130629"},"language":"en","primary_location":{"id":"doi:10.7151/dmgt.1620","is_oa":true,"landing_page_url":"https://doi.org/10.7151/dmgt.1620","pdf_url":"https://www.dmgt.uz.zgora.pl/publish/bbl_view_pdf.php?ID=-1536","source":{"id":"https://openalex.org/S2738357781","display_name":"Discussiones Mathematicae Graph Theory","issn_l":"1234-3099","issn":["1234-3099","2083-5892"],"is_oa":false,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320322","host_organization_name":"De Gruyter Open","host_organization_lineage":["https://openalex.org/P4310320322","https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter Open","De Gruyter"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discussiones Mathematicae Graph Theory","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.dmgt.uz.zgora.pl/publish/bbl_view_pdf.php?ID=-1536","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5103253724","display_name":"Gyula O. H. Katona","orcid":"https://orcid.org/0000-0002-0188-0391"},"institutions":[{"id":"https://openalex.org/I127817813","display_name":"Alfr\u00e9d R\u00e9nyi Institute of Mathematics","ror":"https://ror.org/03vw74f64","country_code":"HU","type":"facility","lineage":["https://openalex.org/I127817813","https://openalex.org/I7597260"]}],"countries":["HU"],"is_corresponding":true,"raw_author_name":"Gyula O.H. Katona","raw_affiliation_strings":["Alfred Renyi Institute of Mathematics"],"affiliations":[{"raw_affiliation_string":"Alfred Renyi Institute of Mathematics","institution_ids":["https://openalex.org/I127817813"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5067589455","display_name":"\u00c1kos Kisv\u00f6lcsey","orcid":null},"institutions":[{"id":"https://openalex.org/I127817813","display_name":"Alfr\u00e9d R\u00e9nyi Institute of Mathematics","ror":"https://ror.org/03vw74f64","country_code":"HU","type":"facility","lineage":["https://openalex.org/I127817813","https://openalex.org/I7597260"]}],"countries":["HU"],"is_corresponding":false,"raw_author_name":"\u00c1kos Kisv\u00f6lcsey","raw_affiliation_strings":["Alfred Renyi Institute of Mathematics"],"affiliations":[{"raw_affiliation_string":"Alfred Renyi Institute of Mathematics","institution_ids":["https://openalex.org/I127817813"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5103253724"],"corresponding_institution_ids":["https://openalex.org/I127817813"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.15651679,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"32","issue":"2","first_page":"379","last_page":"379"},"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":0.9998999834060669,"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":0.9998999834060669,"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":0.9973999857902527,"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":0.996399998664856,"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":0.8060003519058228},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6983469128608704}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8060003519058228},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6983469128608704}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.7151/dmgt.1620","is_oa":true,"landing_page_url":"https://doi.org/10.7151/dmgt.1620","pdf_url":"https://www.dmgt.uz.zgora.pl/publish/bbl_view_pdf.php?ID=-1536","source":{"id":"https://openalex.org/S2738357781","display_name":"Discussiones Mathematicae Graph Theory","issn_l":"1234-3099","issn":["1234-3099","2083-5892"],"is_oa":false,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320322","host_organization_name":"De Gruyter Open","host_organization_lineage":["https://openalex.org/P4310320322","https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter Open","De Gruyter"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discussiones Mathematicae Graph Theory","raw_type":"journal-article"},{"id":"pmh:oai:real.mtak.hu:7991","is_oa":true,"landing_page_url":null,"pdf_url":"http://real.mtak.hu/7991/1/Erdos-Ko-Rado%20from%20intersecting%20shadows.pdf","source":{"id":"https://openalex.org/S4306400081","display_name":"Repository of the Academy's Library (Library of the Hungarian Academy of Sciences)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210140733","host_organization_name":"Library and Information Centre of the Hungarian Academy of Sciences","host_organization_lineage":["https://openalex.org/I4210140733"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"}],"best_oa_location":{"id":"doi:10.7151/dmgt.1620","is_oa":true,"landing_page_url":"https://doi.org/10.7151/dmgt.1620","pdf_url":"https://www.dmgt.uz.zgora.pl/publish/bbl_view_pdf.php?ID=-1536","source":{"id":"https://openalex.org/S2738357781","display_name":"Discussiones Mathematicae Graph Theory","issn_l":"1234-3099","issn":["1234-3099","2083-5892"],"is_oa":false,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320322","host_organization_name":"De Gruyter Open","host_organization_lineage":["https://openalex.org/P4310320322","https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter Open","De Gruyter"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discussiones Mathematicae Graph Theory","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2091130629.pdf","grobid_xml":"https://content.openalex.org/works/W2091130629.grobid-xml"},"referenced_works_count":6,"referenced_works":["https://openalex.org/W1990478085","https://openalex.org/W1998914526","https://openalex.org/W2019935404","https://openalex.org/W2025324955","https://openalex.org/W2041062057","https://openalex.org/W2069619900"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2911598644","https://openalex.org/W2042127053"],"abstract_inverted_index":{"A":[0],"set":[1],"system":[2],"is":[3,48],"called":[4],"t-intersecting":[5],"if":[6],"every":[7],"two":[8],"members":[9],"meet":[10],"each":[11],"other":[12],"in":[13,58],"at":[14],"least":[15],"t":[16],"elements.":[17],"Katona":[18],"determined":[19],"the":[20,24,27,35,51,59],"minimum":[21],"ratio":[22],"of":[23,29,45,68],"shadow":[25],"and":[26,32],"size":[28],"such":[30],"families":[31],"showed":[33],"that":[34],"Erdos-Ko-Rado":[36],"theorem":[37],"immediately":[38],"follows":[39],"from":[40],"this":[41,46],"result.":[42],"The":[43],"aim":[44],"note":[47],"to":[49,53],"reproduce":[50],"proof":[52],"obtain":[54],"a":[55,65],"slight":[56],"improvement":[57],"Kneser":[60],"graph.":[61],"We":[62],"also":[63],"give":[64],"brief":[66],"overview":[67],"corresponding":[69],"results.":[70]},"counts_by_year":[],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
