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On fixing elements in matroid minors

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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.

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Authors and Affiliations

  1. Mathematics Department, Louisiana State University, 70803, Baton Rouge, Louisiana, USA

    J. Oxley

  2. Mathematics Department, University of Tasmania, 7001, Hobart, Tasmania, Australia

    D. Row

Authors
  1. J. Oxley
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  2. D. Row
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This research was partially supported by the National Science Foundation under Grant No. DMS-8500494.

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Oxley, J., Row, D. On fixing elements in matroid minors. Combinatorica 9, 69–74 (1989). https://doi.org/10.1007/BF02122685

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  • DOI: https://doi.org/10.1007/BF02122685

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