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Capturing two elements in unavoidable minors of 3-connected binary matroids

โœ Scribed by Deborah Chun; James Oxley

Book ID
119181023
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
435 KB
Volume
50
Category
Article
ISSN
0196-8858

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๐Ÿ“œ SIMILAR VOLUMES

Unavoidable Minors of Large 3-Connected
Unavoidable Minors of Large 3-Connected Binary Matroids
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

Unavoidable Minors of Large 3-Connected
Unavoidable Minors of Large 3-Connected Matroids
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