{"id":"https://openalex.org/W3087679868","doi":"https://doi.org/10.1007/s00454-023-00571-4","title":"The Geometry of Random Tournaments","display_name":"The Geometry of Random Tournaments","publication_year":2023,"publication_date":"2023-09-21","ids":{"openalex":"https://openalex.org/W3087679868","doi":"https://doi.org/10.1007/s00454-023-00571-4","mag":"3087679868"},"language":"en","primary_location":{"is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-023-00571-4","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00454-023-00571-4.pdf","source":{"id":"https://openalex.org/S103671469","display_name":"Discrete & Computational Geometry","issn_l":"0179-5376","issn":["0179-5376","1432-0444"],"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/P4310319965","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Springer Nature","Springer Science+Business Media"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true},"type":"article","type_crossref":"journal-article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s00454-023-00571-4.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5001338460","display_name":"Brett Kolesnik","orcid":"https://orcid.org/0000-0003-2604-6093"},"institutions":[{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Brett Kolesnik","raw_affiliation_strings":["Department of Statistics, University of Oxford, Oxford, Oxfordshire, OX1 3LB, UK"],"affiliations":[{"raw_affiliation_string":"Department of Statistics, University of Oxford, Oxford, Oxfordshire, OX1 3LB, UK","institution_ids":["https://openalex.org/I40120149"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101623427","display_name":"Mario S\u00e1nchez","orcid":"https://orcid.org/0000-0002-8046-7510"},"institutions":[{"id":"https://openalex.org/I205783295","display_name":"Cornell University","ror":"https://ror.org/05bnh6r87","country_code":"US","type":"education","lineage":["https://openalex.org/I205783295"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mario Sanchez","raw_affiliation_strings":["Department of Mathematics, Cornell University, Ithaca, NY, 14850, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Cornell University, Ithaca, NY, 14850, USA","institution_ids":["https://openalex.org/I205783295"]}]}],"institution_assertions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5001338460"],"corresponding_institution_ids":["https://openalex.org/I40120149"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890,"provenance":"doaj"},"apc_paid":{"value":2290,"currency":"EUR","value_usd":2890,"provenance":"doaj"},"fwci":0.0,"has_fulltext":true,"fulltext_origin":"pdf","cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":0,"max":67},"biblio":{"volume":"71","issue":"4","first_page":"1343","last_page":"1351"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9994,"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9994,"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9897,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9869,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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":0.8931278},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.44960126}],"concepts":[{"id":"https://openalex.org/C136975688","wikidata":"https://www.wikidata.org/wiki/Q1320634","display_name":"Tournament","level":2,"score":0.8931278},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.79647756},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6973449},{"id":"https://openalex.org/C162307627","wikidata":"https://www.wikidata.org/wiki/Q204833","display_name":"Enhanced Data Rates for GSM Evolution","level":2,"score":0.4929688},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.48891392},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.44960126},{"id":"https://openalex.org/C16345878","wikidata":"https://www.wikidata.org/wiki/Q107472979","display_name":"Orientation (vector space)","level":2,"score":0.43010247},{"id":"https://openalex.org/C47458327","wikidata":"https://www.wikidata.org/wiki/Q910404","display_name":"Random graph","level":3,"score":0.42424962},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.34395438},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3423025},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.09598842},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08039713},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-023-00571-4","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00454-023-00571-4.pdf","source":{"id":"https://openalex.org/S103671469","display_name":"Discrete & Computational Geometry","issn_l":"0179-5376","issn":["0179-5376","1432-0444"],"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/P4310319965","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Springer Nature","Springer Science+Business Media"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true}],"best_oa_location":{"is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-023-00571-4","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00454-023-00571-4.pdf","source":{"id":"https://openalex.org/S103671469","display_name":"Discrete & Computational Geometry","issn_l":"0179-5376","issn":["0179-5376","1432-0444"],"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/P4310319965","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Springer Nature","Springer Science+Business Media"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true},"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":36,"referenced_works":["https://openalex.org/W116735976","https://openalex.org/W128650179","https://openalex.org/W1590129783","https://openalex.org/W1595605524","https://openalex.org/W1597196612","https://openalex.org/W1971681689","https://openalex.org/W1973277735","https://openalex.org/W1978752673","https://openalex.org/W1979451303","https://openalex.org/W2006309149","https://openalex.org/W2017839670","https://openalex.org/W2018850502","https://openalex.org/W2037100948","https://openalex.org/W2047915396","https://openalex.org/W2052177397","https://openalex.org/W2052245862","https://openalex.org/W2055364874","https://openalex.org/W2084442358","https://openalex.org/W2094402226","https://openalex.org/W2098621549","https://openalex.org/W2130848020","https://openalex.org/W2159889442","https://openalex.org/W2167589931","https://openalex.org/W2758576888","https://openalex.org/W2964074389","https://openalex.org/W2964114684","https://openalex.org/W2989468528","https://openalex.org/W3003083692","https://openalex.org/W3005921796","https://openalex.org/W4206570602","https://openalex.org/W4229664808","https://openalex.org/W4231139853","https://openalex.org/W4246108584","https://openalex.org/W4256534641","https://openalex.org/W4292058084","https://openalex.org/W621643794"],"related_works":["https://openalex.org/W61412736","https://openalex.org/W4300269813","https://openalex.org/W4298167438","https://openalex.org/W4237161270","https://openalex.org/W3177473685","https://openalex.org/W2951993320","https://openalex.org/W2742569245","https://openalex.org/W2166399498","https://openalex.org/W1705888004","https://openalex.org/W1508706398"],"abstract_inverted_index":{"Abstract":[0],"A":[1],"tournament":[2],"is":[3,11],"an":[4],"orientation":[5],"of":[6,24,43,64],"a":[7,12],"graph.":[8],"Each":[9],"edge":[10],"match,":[13],"directed":[14],"towards":[15],"the":[16,22,62],"winner.":[17],"The":[18],"score":[19,34],"sequence":[20],"lists":[21],"number":[23],"wins":[25],"by":[26,32],"each":[27],"team.":[28],"In":[29],"this":[30],"article,":[31],"interpreting":[33],"sequences":[35],"geometrically,":[36],"we":[37],"generalize":[38],"and":[39,52],"extend":[40],"classical":[41],"theorems":[42],"Landau":[44],"(Bull.":[45],"Math.":[46,56],"Biophys.":[47],"15":[48],",":[49,58],"143\u2013148":[50],"(1953))":[51],"Moon":[53],"(Pac.":[54],"J.":[55],"13":[57],"1343\u20131345":[59],"(1963)),":[60],"via":[61],"theory":[63],"zonotopal":[65],"tilings.":[66]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W3087679868","counts_by_year":[],"updated_date":"2025-01-04T23:12:37.514392","created_date":"2020-09-25"}