{"id":{"repo_id":"unt","oai_identifier":"info:ark/67531/metadc2514"},"canonical_url":"https://search.dev.ndltd.org/etd/unt/info:ark/67531/metadc2514","repository":{"repo_id":"unt","name":"University of North Texas","base_url":"https://digital.library.unt.edu/oai/"},"display":{"title":"Maximum-Sized Matroids with no Minors Isomorphic to U2,5, F7, F7¯, OR P7","abstract":"Let M be the class of simple matroids which do not contain the 5-point line U2,5 , the Fano plane F7 , the non-Fano plane F7- , or the matroid P7 , as minors. Let h(n) be the maximum number of points in a rank-n matroid in M. We show that h(2)=4, h(3)=7, and h(n)=n(n+1)/2 for n>3, and we also find all the maximum-sized matroids for each rank.","abstract_html":"Let M be the class of simple matroids which do not contain the 5-point line U2,5 , the Fano plane F7 , the non-Fano plane F7- , or the matroid P7 , as minors. Let h(n) be the maximum number of points in a rank-n matroid in M. We show that h(2)=4, h(3)=7, and h(n)=n(n+1)/2 for n>3, and we also find all the maximum-sized matroids for each rank.","abstract_has_math":false,"creators":["Mecay, Stefan Terence"],"institution":"University of North Texas","degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":["Kung, Joseph","Bator, Elizabeth M.","Jackson, Stephen C."],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2000,"date_issued":"2000-05","date_published":"2000-05","updated_at":"2026-07-24T05:34:52Z","subjects":["Matroids.","Set theory.","rank-n matroid","set theory","dimensional space","simple matroids"],"languages":["English"],"rights":["Public","Copyright","Mecay, Stefan Terence","Copyright is held by the author, unless otherwise noted. All rights reserved."],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["oclc: 47218159","untcat: b2301319","https://digital.library.unt.edu/ark:/67531/metadc2514/","ark: ark:/67531/metadc2514"],"render_values":[{"text":"oclc: 47218159","href":null,"code":true},{"text":"untcat: b2301319","href":null,"code":true},{"text":"https://digital.library.unt.edu/ark:/67531/metadc2514/","href":"https://digital.library.unt.edu/ark:/67531/metadc2514/","code":true},{"text":"ark: ark:/67531/metadc2514","href":null,"code":true}]}]},"links":{"outbound_url":"https://doi.org/10.12794/metadc2514","outbound_label":"DOI","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Kung, Joseph","Bator, Elizabeth M.","Jackson, Stephen C."]},{"key":"dc:creator","label":"Author","values":["Mecay, Stefan Terence"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2000-05"]},{"key":"dc:publisher","label":"Institution","values":["University of North Texas"]},{"key":"dc:type","label":"Dc Type","values":["Thesis or Dissertation"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Matroids.","Set theory.","rank-n matroid","set theory","dimensional space","simple matroids"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["English"]},{"key":"dc:rights","label":"Dc Rights","values":["Public","Copyright","Mecay, Stefan Terence","Copyright is held by the author, unless otherwise noted. 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We show that h(2)=4, h(3)=7, and h(n)=n(n+1)/2 for n>3, and we also find all the maximum-sized matroids for each rank."]},{"key":"dc:format","label":"Dc Format","values":["Text"]},{"key":"dc:title","label":"Title","values":["Maximum-Sized Matroids with no Minors Isomorphic to U2,5, F7, F7¯, OR P7"]}]}],"canonical_facts":{"dc:contributor":["Kung, Joseph","Bator, Elizabeth M.","Jackson, Stephen C."],"dc:creator":["Mecay, Stefan Terence"],"dc:date":["2000-05"],"dc:description":["Let M be the class of simple matroids which do not contain the 5-point line U2,5 , the Fano plane F7 , the non-Fano plane F7- , or the matroid P7 , as minors. Let h(n) be the maximum number of points in a rank-n matroid in M. We show that h(2)=4, h(3)=7, and h(n)=n(n+1)/2 for n>3, and we also find all the maximum-sized matroids for each rank."],"dc:format":["Text"],"dc:identifier":["oclc: 47218159","untcat: b2301319","doi: 10.12794/metadc2514","https://digital.library.unt.edu/ark:/67531/metadc2514/","ark: ark:/67531/metadc2514"],"dc:language":["English"],"dc:publisher":["University of North Texas"],"dc:rights":["Public","Copyright","Mecay, Stefan Terence","Copyright is held by the author, unless otherwise noted. All rights reserved."],"dc:subject":["Matroids.","Set theory.","rank-n matroid","set theory","dimensional space","simple matroids"],"dc:title":["Maximum-Sized Matroids with no Minors Isomorphic to U2,5, F7, F7¯, OR P7"],"dc:type":["Thesis or Dissertation"]},"updated_at":"2026-07-24T05:34:52Z"}