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On packing 3-connected restrictions into 3-connected matroids

โœ Scribed by James Oxley


Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
925 KB
Volume
178
Category
Article
ISSN
0012-365X

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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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An element e of a 3-connected matroid M is essential if neither the deletion M\e nor the contraction M/e is 3-connected. Tutte's Wheels and Whirls Theorem proves that the only 3-connected matroids in which every element is essential are the wheels and whirls. In this paper, we consider those 3-conne