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.
| Identifer | oai:union.ndltd.org:unt.edu/info:ark/67531/metadc2514 |
| Date | 05 1900 |
| Creators | Mecay, Stefan Terence |
| Contributors | Kung, Joseph, Bator, Elizabeth M., Jackson, Stephen C. |
| Publisher | University of North Texas |
| Source Sets | University of North Texas |
| Language | English |
| Detected Language | English |
| Type | Thesis or Dissertation |
| Format | Text |
| Rights | Public, Copyright, Mecay, Stefan Terence, Copyright is held by the author, unless otherwise noted. All rights reserved. |
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