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On packing minors into connected matroids

โœ Scribed by Manoel Lemos; James Oxley


Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
477 KB
Volume
189
Category
Article
ISSN
0012-365X

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๐Ÿ“œ SIMILAR VOLUMES


Unavoidable Minors of Large 3-Connected
โœ Guoli Ding; Bogdan Oporowski; James Oxley; Dirk Vertigan ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 704 KB

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

Unavoidable Minors of Large 3-Connected
โœ Guoli Ding; Bogdan Oporowski; James Oxley; Dirk Vertigan ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 759 KB

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

On 3-connected matroids
โœ Manoel Lemos ๐Ÿ“‚ Article ๐Ÿ“… 1989 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 997 KB
On the Excluded Minors for Quaternary Ma
โœ J.F. Geelen; J.G. Oxley; D.L. Vertigan; G.P. Whittle ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 221 KB

This paper strengthens the excluded-minor characterization of GF(4)-representable matroids. In particular, it is shown that there are only finitely many 3-connected matroids that are not GF(4)-representable and that have no U 2, 6 -, U 4, 6 -, P 6 -, F & 7 -, or (F & 7 )\*-minors. Explicitly, these

On matroid connectivity
โœ James Oxley; Haidong Wu ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 138 KB

If M is a loopless matroid in which MIX and MI Y are connected and X c~ Y is non-empty, then one easily shows that MI(X u Y) is connected. Likewise, it is straightforward to show that if G and H are n-connected graphs having at least n common vertices, then G u H is nconnected. The purpose of this n