{"id":"https://openalex.org/W2144840176","doi":"https://doi.org/10.1007/11549345_5","title":"The Generalization of Dirac\u2019s Theorem for Hypergraphs","display_name":"The Generalization of Dirac\u2019s Theorem for Hypergraphs","publication_year":2005,"publication_date":"2005-01-01","ids":{"openalex":"https://openalex.org/W2144840176","doi":"https://doi.org/10.1007/11549345_5","mag":"2144840176"},"language":"en","primary_location":{"id":"doi:10.1007/11549345_5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/11549345_5","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5110644008","display_name":"Endre Szemer\u00e9di","orcid":null},"institutions":[{"id":"https://openalex.org/I4210123151","display_name":"R\u00fctgers (Germany)","ror":"https://ror.org/02wmkbh90","country_code":"DE","type":"company","lineage":["https://openalex.org/I4210123151"]},{"id":"https://openalex.org/I4210096112","display_name":"Rutgers Sexual and Reproductive Health and Rights","ror":"https://ror.org/00rcvgx40","country_code":"NL","type":"other","lineage":["https://openalex.org/I4210096112"]},{"id":"https://openalex.org/I102322142","display_name":"Rutgers, The State University of New Jersey","ror":"https://ror.org/05vt9qd57","country_code":"US","type":"education","lineage":["https://openalex.org/I102322142"]}],"countries":["DE","NL","US"],"is_corresponding":true,"raw_author_name":"Endre Szemer\u00e9di","raw_affiliation_strings":["Rutgers University, New Brunswick"],"affiliations":[{"raw_affiliation_string":"Rutgers University, New Brunswick","institution_ids":["https://openalex.org/I4210123151","https://openalex.org/I102322142","https://openalex.org/I4210096112"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078267731","display_name":"Andrzej Ruci\u0144ski","orcid":"https://orcid.org/0000-0002-0742-7694"},"institutions":[{"id":"https://openalex.org/I59411706","display_name":"Adam Mickiewicz University in Pozna\u0144","ror":"https://ror.org/04g6bbq64","country_code":"PL","type":"education","lineage":["https://openalex.org/I59411706"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Andrzej Ruci\u0144ski","raw_affiliation_strings":["A. Mickiewicz University, Pozna\u0144, Poland"],"affiliations":[{"raw_affiliation_string":"A. Mickiewicz University, Pozna\u0144, Poland","institution_ids":["https://openalex.org/I59411706"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109078443","display_name":"Vojt\u011bch R\u00f6dl","orcid":null},"institutions":[{"id":"https://openalex.org/I150468666","display_name":"Emory University","ror":"https://ror.org/03czfpz43","country_code":"US","type":"education","lineage":["https://openalex.org/I150468666"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Vojt\u011bch R\u00f6dl","raw_affiliation_strings":["Emory University, Atlanta, GA"],"affiliations":[{"raw_affiliation_string":"Emory University, Atlanta, GA","institution_ids":["https://openalex.org/I150468666"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5110644008"],"corresponding_institution_ids":["https://openalex.org/I102322142","https://openalex.org/I4210096112","https://openalex.org/I4210123151"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.19491525,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"52","last_page":"56"},"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":0.9997000098228455,"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":0.9997000098228455,"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":0.9991000294685364,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/counterexample","display_name":"Counterexample","score":0.6072899699211121},{"id":"https://openalex.org/keywords/hamiltonian-path","display_name":"Hamiltonian path","score":0.5935177206993103},{"id":"https://openalex.org/keywords/hamiltonian","display_name":"Hamiltonian (control theory)","score":0.5057535171508789},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.494415283203125},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4895959496498108},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4857493042945862},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.47590622305870056},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.46010032296180725},{"id":"https://openalex.org/keywords/perfect-graph","display_name":"Perfect graph","score":0.44151052832603455},{"id":"https://openalex.org/keywords/graph-theory","display_name":"Graph theory","score":0.44113147258758545},{"id":"https://openalex.org/keywords/perfect-graph-theorem","display_name":"Perfect graph theorem","score":0.43819254636764526},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.437508761882782},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3256019949913025},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.2746664583683014},{"id":"https://openalex.org/keywords/voltage-graph","display_name":"Voltage graph","score":0.145666241645813},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.11140903830528259},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07785189151763916},{"id":"https://openalex.org/keywords/graph-power","display_name":"Graph power","score":0.07316499948501587}],"concepts":[{"id":"https://openalex.org/C162838799","wikidata":"https://www.wikidata.org/wiki/Q596077","display_name":"Counterexample","level":2,"score":0.6072899699211121},{"id":"https://openalex.org/C86524685","wikidata":"https://www.wikidata.org/wiki/Q273037","display_name":"Hamiltonian path","level":3,"score":0.5935177206993103},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.5057535171508789},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.494415283203125},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4895959496498108},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4857493042945862},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.47590622305870056},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.46010032296180725},{"id":"https://openalex.org/C32972407","wikidata":"https://www.wikidata.org/wiki/Q1187620","display_name":"Perfect graph","level":5,"score":0.44151052832603455},{"id":"https://openalex.org/C88230418","wikidata":"https://www.wikidata.org/wiki/Q131476","display_name":"Graph theory","level":2,"score":0.44113147258758545},{"id":"https://openalex.org/C161487630","wikidata":"https://www.wikidata.org/wiki/Q2800071","display_name":"Perfect graph theorem","level":5,"score":0.43819254636764526},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.437508761882782},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3256019949913025},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.2746664583683014},{"id":"https://openalex.org/C22149727","wikidata":"https://www.wikidata.org/wiki/Q7940747","display_name":"Voltage graph","level":4,"score":0.145666241645813},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.11140903830528259},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07785189151763916},{"id":"https://openalex.org/C149530733","wikidata":"https://www.wikidata.org/wiki/Q5597091","display_name":"Graph power","level":4,"score":0.07316499948501587}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/11549345_5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/11549345_5","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.96.9648","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.96.9648","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.staff.amu.edu.pl/~rucinski/papers/76.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W140130170","https://openalex.org/W1504514920","https://openalex.org/W1971367602","https://openalex.org/W1978240867","https://openalex.org/W1993714359","https://openalex.org/W2032300475","https://openalex.org/W2082894877","https://openalex.org/W2093922095","https://openalex.org/W2099989374","https://openalex.org/W2116537669","https://openalex.org/W2528567371","https://openalex.org/W4244050075","https://openalex.org/W4255224584","https://openalex.org/W6855672429"],"related_works":["https://openalex.org/W2356906936","https://openalex.org/W1555810828","https://openalex.org/W1557323685","https://openalex.org/W1025829657","https://openalex.org/W2551888922","https://openalex.org/W4299280921","https://openalex.org/W966310719","https://openalex.org/W1581916263","https://openalex.org/W3119766805","https://openalex.org/W2900659842"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}