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Selected Works of Dan Slilaty
Article
Clones in 3-Connected Frame Matroids
Discrete Mathematics
  • Jakayla Robbins
  • Dan Slilaty, Wright State University - Main Campus
  • Xiangqian Zhou, Wright State University - Main Campus
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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/dan_slilaty/6/