{"id":"https://openalex.org/W4239649210","doi":"https://doi.org/10.37236/1067","title":"Equitable Matroids","display_name":"Equitable Matroids","publication_year":2006,"publication_date":"2006-04-24","ids":{"openalex":"https://openalex.org/W4239649210","doi":"https://doi.org/10.37236/1067"},"language":"en","primary_location":{"id":"doi:10.37236/1067","is_oa":true,"landing_page_url":"https://doi.org/10.37236/1067","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v13i1r41/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v13i1r41/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5050651276","display_name":"Dillon Mayhew","orcid":"https://orcid.org/0000-0003-4086-0980"},"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":"Dillon Mayhew","raw_affiliation_strings":["Mathematical Institute University of Oxford 24-29 St Giles Oxford, OX1 3LB United Kingdom","School of Mathematics, Statistics and Computer Science, Victoria University of Wellington, PO BOX 600, Wellington, New Zealand"],"affiliations":[{"raw_affiliation_string":"Mathematical Institute University of Oxford 24-29 St Giles Oxford, OX1 3LB United Kingdom","institution_ids":["https://openalex.org/I40120149"]},{"raw_affiliation_string":"School of Mathematics, Statistics and Computer Science, Victoria University of Wellington, PO BOX 600, Wellington, New Zealand","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5050651276"],"corresponding_institution_ids":["https://openalex.org/I40120149"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.40430177,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"13","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.991599977016449,"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"}},"topics":[{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.991599977016449,"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/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9818000197410583,"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/T11596","display_name":"Constraint Satisfaction and Optimization","score":0.9577000141143799,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/matroid","display_name":"Matroid","score":0.9896823167800903},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.7619147896766663},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7517223358154297},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7014415264129639},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.6897388696670532},{"id":"https://openalex.org/keywords/graphic-matroid","display_name":"Graphic matroid","score":0.6629648208618164},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.6343351602554321},{"id":"https://openalex.org/keywords/matroid-partitioning","display_name":"Matroid partitioning","score":0.5581381320953369},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5065110921859741},{"id":"https://openalex.org/keywords/weighted-matroid","display_name":"Weighted matroid","score":0.470437228679657},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.45180052518844604},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1490406095981598},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.04731684923171997}],"concepts":[{"id":"https://openalex.org/C106286213","wikidata":"https://www.wikidata.org/wiki/Q898572","display_name":"Matroid","level":2,"score":0.9896823167800903},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.7619147896766663},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7517223358154297},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7014415264129639},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.6897388696670532},{"id":"https://openalex.org/C111034964","wikidata":"https://www.wikidata.org/wiki/Q5597156","display_name":"Graphic matroid","level":3,"score":0.6629648208618164},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.6343351602554321},{"id":"https://openalex.org/C22425182","wikidata":"https://www.wikidata.org/wiki/Q6787906","display_name":"Matroid partitioning","level":4,"score":0.5581381320953369},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5065110921859741},{"id":"https://openalex.org/C124344645","wikidata":"https://www.wikidata.org/wiki/Q7979897","display_name":"Weighted matroid","level":5,"score":0.470437228679657},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.45180052518844604},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1490406095981598},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.04731684923171997},{"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/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.37236/1067","is_oa":true,"landing_page_url":"https://doi.org/10.37236/1067","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v13i1r41/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.37236/1067","is_oa":true,"landing_page_url":"https://doi.org/10.37236/1067","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v13i1r41/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4239649210.pdf","grobid_xml":"https://content.openalex.org/works/W4239649210.grobid-xml"},"referenced_works_count":9,"referenced_works":["https://openalex.org/W1777323012","https://openalex.org/W1993004302","https://openalex.org/W2019690107","https://openalex.org/W2070169135","https://openalex.org/W2085669706","https://openalex.org/W2134815593","https://openalex.org/W3111890340","https://openalex.org/W6629416614","https://openalex.org/W6680432289"],"related_works":["https://openalex.org/W2400862597","https://openalex.org/W2058489697","https://openalex.org/W2625145881","https://openalex.org/W1984819493","https://openalex.org/W2159059797","https://openalex.org/W2106233458","https://openalex.org/W2072414647","https://openalex.org/W4246417054","https://openalex.org/W4226057593","https://openalex.org/W2560841694"],"abstract_inverted_index":{"One":[0],"way":[1],"to":[2,12,29,58],"choose":[3,13],"a":[4,7,31,46],"basis":[5,47],"of":[6,16,37,63],"matroid":[8,72],"at":[9,21,49],"random":[10,22],"is":[11,56],"an":[14],"ordering":[15],"the":[17,26,35,40],"ground":[18],"set":[19],"uniformly":[20,48],"and":[23,65],"then":[24],"use":[25],"greedy":[27],"algorithm":[28],"find":[30],"basis.":[32],"We":[33,51],"investigate":[34],"class":[36,55],"matroids":[38,64],"having":[39],"property":[41],"that":[42],"this":[43,54],"procedure":[44],"yields":[45],"random.":[50],"show":[52],"how":[53,67],"related":[57],"some":[59],"other":[60],"naturally-defined":[61],"families":[62],"consider":[66],"it":[68],"behaves":[69],"under":[70],"well-known":[71],"operations.":[73]},"counts_by_year":[{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2022-05-12T00:00:00"}
