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Decomposing infinite matroids into their 3-connected minors

โœ Scribed by Elad Aigner-Horev; Reinhard Diestel; Luke Postle

Book ID
119236529
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
173 KB
Volume
38
Category
Article
ISSN
1571-0653

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This paper proves that, for every integer n exceeding two, there is a number N(n) such that every 3-connected matroid with at least N(n) elements has a minor that is isomorphic to one of the following matroids: an (n+2)-point line or its dual, the cycle or cocycle matroid of K 3, n , the cycle matro

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We show that, for every integer n greater than two, there is a number N such that every 3-connected binary matroid with at least N elements has a minor that is isomorphic to the cycle matroid of K 3, n , its dual, the cycle matroid of the wheel with n spokes, or the vector matroid of the binary matr