| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4646872 | Discrete Mathematics | 2016 | 6 Pages |
Abstract
We determine the structure of clonal classes of 3-connected frame matroids in terms of the structure of biased graphs. Robbins has conjectured that a 3-connected non-uniform matroid with a clonal class of size q−1q−1 is not GF(q)GF(q)-representable. We confirm the conjecture for the class of frame matroids.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Jakayla Robbins, Daniel Slilaty, Xiangqian Zhou,