On fixing elements in matroid minors |
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Authors: | J. Oxley D. Row |
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Affiliation: | (1) Mathematics Department, Louisiana State University, 70803 Baton Rouge, Louisiana, USA;(2) Mathematics Department, University of Tasmania, 7001 Hobart, Tasmania, Australia |
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Abstract: | LetF be a collection of 3-connected matroids which is (3, 1)-rounded, that is, whenever a 3-connected matroidM has a minor in F ande is an element ofM, thenM has a minor in F whose ground set contains.e. The aim of this note is to prove that, for all sufficiently largen, the collection ofn-element 3-connected matroids having some minor inF is also (3, 1)-rounded.This research was partially supported by the National Science Foundation under Grant No. DMS-8500494. |
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Keywords: | 05 B 35 |
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