| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4649147 | Discrete Mathematics | 2010 | 9 Pages |
Abstract
Whittle [12] conjectured that if MM is a 33-connected quaternary matroid with a clonal pair {e,f}{e,f}, then M∖e,fM∖e,f and M/e,fM/e,f are both binary. In this paper we show that for q∈{4,5,7,8,9}q∈{4,5,7,8,9} if MM is a 3-connected GF(q)GF(q)-representable matroid with a clonal set XX of size q−2q−2, then M∖XM∖X and M/XM/X are binary.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Talmage J. Reid, Jakayla Robbins, Haidong Wu, Xiangqian Zhou,