{"id":"https://openalex.org/W2027871912","doi":"https://doi.org/10.1017/s0963548303005674","title":"Sch\u00fctte's Tournament Problem and Intersecting Families of Sets","display_name":"Sch\u00fctte's Tournament Problem and Intersecting Families of Sets","publication_year":2003,"publication_date":"2003-07-01","ids":{"openalex":"https://openalex.org/W2027871912","doi":"https://doi.org/10.1017/s0963548303005674","mag":"2027871912"},"language":"en","primary_location":{"id":"doi:10.1017/s0963548303005674","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0963548303005674","pdf_url":null,"source":{"id":"https://openalex.org/S7291079","display_name":"Combinatorics Probability Computing","issn_l":"0963-5483","issn":["0963-5483","1469-2163"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorics, Probability and Computing","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/A5003686479","display_name":"Mieczys\u0142aw Borowiecki","orcid":"https://orcid.org/0000-0003-4644-3766"},"institutions":[{"id":"https://openalex.org/I46305939","display_name":"University of Zielona G\u00f3ra","ror":"https://ror.org/04fzm7v55","country_code":"PL","type":"education","lineage":["https://openalex.org/I46305939"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"MIECZYS\u0141AW BOROWIECKI","raw_affiliation_strings":["Institute of Mathematics, University of Zielona G\u00f3ra, 65-246 Zielona G\u00f3ra, Poland (e-mail:","Institute of Mathematics, University of Zielona G\u00f3ra, 65-246 Zielona G\u00f3ra, Poland (e-mail: M.Borowiecki@im.uz.zgora.pl)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Mathematics, University of Zielona G\u00f3ra, 65-246 Zielona G\u00f3ra, Poland (e-mail:","institution_ids":["https://openalex.org/I46305939"]},{"raw_affiliation_string":"Institute of Mathematics, University of Zielona G\u00f3ra, 65-246 Zielona G\u00f3ra, Poland (e-mail: M.Borowiecki@im.uz.zgora.pl)","institution_ids":["https://openalex.org/I46305939"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033531626","display_name":"Jaros\u0142aw Grytczuk","orcid":"https://orcid.org/0000-0002-0258-6143"},"institutions":[{"id":"https://openalex.org/I46305939","display_name":"University of Zielona G\u00f3ra","ror":"https://ror.org/04fzm7v55","country_code":"PL","type":"education","lineage":["https://openalex.org/I46305939"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"JAROS\u0141AW GRYTCZUK","raw_affiliation_strings":["Institute of Mathematics, University of Zielona G\u00f3ra, 65-246 Zielona G\u00f3ra, Poland (e-mail:","Institute of Mathematics, University of Zielona G\u00f3ra, 65-246 Zielona G\u00f3ra, Poland (e-mail: J.Grytczuk@im.uz.zgora.pl)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Mathematics, University of Zielona G\u00f3ra, 65-246 Zielona G\u00f3ra, Poland (e-mail:","institution_ids":["https://openalex.org/I46305939"]},{"raw_affiliation_string":"Institute of Mathematics, University of Zielona G\u00f3ra, 65-246 Zielona G\u00f3ra, Poland (e-mail: J.Grytczuk@im.uz.zgora.pl)","institution_ids":["https://openalex.org/I46305939"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5097612004","display_name":"MARIUSZ HAUSZCZAK","orcid":null},"institutions":[{"id":"https://openalex.org/I46305939","display_name":"University of Zielona G\u00f3ra","ror":"https://ror.org/04fzm7v55","country_code":"PL","type":"education","lineage":["https://openalex.org/I46305939"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"MARIUSZ HA\u0141USZCZAK","raw_affiliation_strings":["Institute of Mathematics, University of Zielona G\u00f3ra, 65-246 Zielona G\u00f3ra, Poland (e-mail:","Institute of Mathematics, University of Zielona G\u00f3ra, 65-246 Zielona G\u00f3ra, Poland (e-mail: M.Haluszczak@im.uz.zgora.pl)#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Mathematics, University of Zielona G\u00f3ra, 65-246 Zielona G\u00f3ra, Poland (e-mail:","institution_ids":["https://openalex.org/I46305939"]},{"raw_affiliation_string":"Institute of Mathematics, University of Zielona G\u00f3ra, 65-246 Zielona G\u00f3ra, Poland (e-mail: M.Haluszczak@im.uz.zgora.pl)#TAB#","institution_ids":["https://openalex.org/I46305939"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5026437192","display_name":"\u0179solt Tuza","orcid":"https://orcid.org/0000-0003-3235-9221"},"institutions":[{"id":"https://openalex.org/I140275651","display_name":"University of Pannonia","ror":"https://ror.org/03y5egs41","country_code":"HU","type":"education","lineage":["https://openalex.org/I140275651"]},{"id":"https://openalex.org/I4210127496","display_name":"Veszpr\u00e9mi \u00c9rseki Hittudom\u00e1nyi F\u00f5iskola","ror":"https://ror.org/03js41c71","country_code":"HU","type":"education","lineage":["https://openalex.org/I4210127496"]},{"id":"https://openalex.org/I7597260","display_name":"Hungarian Academy of Sciences","ror":"https://ror.org/02ks8qq67","country_code":"HU","type":"government","lineage":["https://openalex.org/I7597260"]}],"countries":["HU"],"is_corresponding":false,"raw_author_name":"ZSOLT TUZA","raw_affiliation_strings":["Computer and Automation Institute, Hungarian Academy of Sciences, H-1111 Budapest, Kende u. 13-17","Department of Computer Science, University of Veszpr\u00e9m, H-8200 Veszpr\u00e9m, Egyetem u. 10, Hungary (e-mail:","Computer and Automation Institute, Hungarian Academy of Sciences, H-1111 Budapest, Kende u. 13-17 and Department of Computer Science, University of Veszpr\u00e9m, H-8200 Veszpr\u00e9m, Egyetem u.  "],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer and Automation Institute, Hungarian Academy of Sciences, H-1111 Budapest, Kende u. 13-17","institution_ids":["https://openalex.org/I7597260"]},{"raw_affiliation_string":"Department of Computer Science, University of Veszpr\u00e9m, H-8200 Veszpr\u00e9m, Egyetem u. 10, Hungary (e-mail:","institution_ids":["https://openalex.org/I4210127496"]},{"raw_affiliation_string":"Computer and Automation Institute, Hungarian Academy of Sciences, H-1111 Budapest, Kende u. 13-17 and Department of Computer Science, University of Veszpr\u00e9m, H-8200 Veszpr\u00e9m, Egyetem u.  ","institution_ids":["https://openalex.org/I4210127496","https://openalex.org/I7597260","https://openalex.org/I140275651"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5003686479"],"corresponding_institution_ids":["https://openalex.org/I46305939"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.13962833,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"12","issue":"4","first_page":"359","last_page":"364"},"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":0.9987000226974487,"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":0.9987000226974487,"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":0.9944999814033508,"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/T12508","display_name":"Functional Equations Stability Results","score":0.9854000210762024,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/tournament","display_name":"Tournament","score":0.97169029712677},{"id":"https://openalex.org/keywords/constructive","display_name":"Constructive","score":0.7925167679786682},{"id":"https://openalex.org/keywords/bipartite-graph","display_name":"Bipartite graph","score":0.7785103917121887},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.6293987035751343},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5714709758758545},{"id":"https://openalex.org/keywords/tournament-selection","display_name":"Tournament selection","score":0.4697414040565491},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.46356022357940674},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4113690257072449},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.334902286529541},{"id":"https://openalex.org/keywords/selection","display_name":"Selection (genetic algorithm)","score":0.327629029750824},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3248642683029175},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.31821757555007935},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.19066396355628967}],"concepts":[{"id":"https://openalex.org/C136975688","wikidata":"https://www.wikidata.org/wiki/Q1320634","display_name":"Tournament","level":2,"score":0.97169029712677},{"id":"https://openalex.org/C2778701210","wikidata":"https://www.wikidata.org/wiki/Q28130034","display_name":"Constructive","level":3,"score":0.7925167679786682},{"id":"https://openalex.org/C197657726","wikidata":"https://www.wikidata.org/wiki/Q174733","display_name":"Bipartite graph","level":3,"score":0.7785103917121887},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.6293987035751343},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5714709758758545},{"id":"https://openalex.org/C165661538","wikidata":"https://www.wikidata.org/wiki/Q7829327","display_name":"Tournament selection","level":3,"score":0.4697414040565491},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.46356022357940674},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4113690257072449},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.334902286529541},{"id":"https://openalex.org/C81917197","wikidata":"https://www.wikidata.org/wiki/Q628760","display_name":"Selection (genetic algorithm)","level":2,"score":0.327629029750824},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3248642683029175},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.31821757555007935},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.19066396355628967},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1017/s0963548303005674","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0963548303005674","pdf_url":null,"source":{"id":"https://openalex.org/S7291079","display_name":"Combinatorics Probability Computing","issn_l":"0963-5483","issn":["0963-5483","1469-2163"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorics, Probability and Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W111038805","https://openalex.org/W1520139570","https://openalex.org/W1546919957","https://openalex.org/W1995563572","https://openalex.org/W2088622619","https://openalex.org/W2477351027","https://openalex.org/W2796390629"],"related_works":["https://openalex.org/W2909372716","https://openalex.org/W3029891807","https://openalex.org/W1572785861","https://openalex.org/W4352981148","https://openalex.org/W1571917368","https://openalex.org/W140783093","https://openalex.org/W2136437817","https://openalex.org/W4288416186","https://openalex.org/W2771742342","https://openalex.org/W2080638133"],"abstract_inverted_index":{"In":[0],"this":[1,19,46,51],"paper":[2],"we":[3],"consider":[4],"a":[5],"bipartite":[6,14],"version":[7],"of":[8,27,45],"Sch\u00fctte's":[9],"well-known":[10],"tournament":[11,15],"problem.":[12],"A":[13],".":[16],"We":[17],"achieve":[18],"goal":[20],"by":[21],"reformulating":[22],"the":[23],"problem":[24],"in":[25,50],"terms":[26],"intersecting":[28],"set":[29],"families":[30],"and":[31],"applying":[32],"probabilistic":[33],"as":[34,36],"well":[35],"constructive":[37],"methods.":[38],"Intriguing":[39],"connections":[40],"with":[41],"some":[42],"famous":[43],"problems":[44],"area":[47],"have":[48],"emerged":[49],"way,":[52],"leading":[53],"to":[54],"new":[55],"open":[56],"questions.":[57]},"counts_by_year":[{"year":2014,"cited_by_count":1}],"updated_date":"2026-05-05T08:41:31.759640","created_date":"2016-06-24T00:00:00"}