Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8903901 | Journal of Combinatorial Theory, Series B | 2018 | 10 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Nathan Bowler, Johannes Carmesin,