Article
Clones in 3-Connected Frame Matroids
Discrete Mathematics
Document Type
Article
Publication Date
4-6-2016
Disciplines
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−1 is not GF(q)-representable. We confirm the conjecture for the class of frame matroids.
DOI
10.1016/j.disc.2015.11.024
Citation Information
Jakayla Robbins, Dan Slilaty and Xiangqian Zhou. "Clones in 3-Connected Frame Matroids" Discrete Mathematics Vol. 339 Iss. 4 (2016) p. 1329 - 1334 ISSN: 0012365X Available at: http://works.bepress.com/xiangqian_zhou/3/