Title
An excluded minors method for infinite matroids
Abstract
The notion of thin sums matroids was invented to extend the notion of representability to non-finitary matroids. A matroid is tame if every circuit–cocircuit intersection is finite. We prove that a tame matroid is a thin sums matroid over a finite field k if and only if all its finite minors are representable over k.
Year
DOI
Venue
2018
10.1016/j.jctb.2017.08.004
Journal of Combinatorial Theory, Series B
Keywords
Field
DocType
Matroid,Infinite Matroid,Tree-decomposition,Representable,Rota's Conjecture,Minor,Tutte-decomposition,Thin sums,Ends
Matroid,Discrete mathematics,Combinatorics,Matroid partitioning,Graphic matroid,Mathematics,Binary number
Journal
Volume
ISSN
Citations 
128
0095-8956
6
PageRank 
References 
Authors
0.87
4
2
Name
Order
Citations
PageRank
Nathan Bowler1166.83
Johannes Carmesin2297.08