Clones in matroids representable over a prime field

We show that for every prime number p, a 3-connected non-uniform GF(p)-representable matroid can have a clone set of size at most p−2.

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Bibliographic Details
Published in:Discrete mathematics 2018-01, Vol.341 (1), p.213-216
Main Authors: Gray, Adam, Reid, Talmage J., Zhou, Xiangqian
Format: Article
Language:English
Subjects:
3-connected
Clones
GF(p)-representable
Non-uniform
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Description
Summary:We show that for every prime number p, a 3-connected non-uniform GF(p)-representable matroid can have a clone set of size at most p−2.
ISSN:0012-365X
1872-681X
DOI:10.1016/j.disc.2017.08.031