Title
When excluding one matroid prevents infinite antichains
Abstract
Geelen, Gerards, and Whittle have announced that there are no infinite sets of binary matroids none of which is isomorphic to a minor of another. In this paper, we use this result to determine precisely when a minor-closed class of matroids with a single excluded minor does not contain such an infinite antichain.
Year
DOI
Venue
2010
10.1016/j.aam.2009.11.002
Advances in Applied Mathematics
Keywords
Field
DocType
. infinite antichain,excluded minor. the second author was supported by the national security agency. 1,infinite antichains,minor-closed class,infinite antichain,infinite set
Matroid,Discrete mathematics,Antichain,Combinatorics,Infinite set,Isomorphism,Graphic matroid,Mathematics,Binary number
Journal
Volume
Issue
ISSN
45
1
0196-8858
Citations 
PageRank 
References 
3
0.42
4
Authors
2
Name
Order
Citations
PageRank
Natalie Hine130.42
James Oxley219424.39