Title
A matroid analogue of a theorem of Brooks for graphs
Abstract
Brooks proved that the chromatic number of a loopless connected graph G is at most the maximum degree of G unless G is an odd cycle or a clique. This note proves an analogue of this theorem for G F ( p ) -representable matroids when p is prime, thereby verifying a natural generalization of a conjecture of Peter Nelson.
Year
DOI
Venue
2016
10.1016/j.ejc.2015.10.011
European Journal of Combinatorics
Field
DocType
Volume
Prime (order theory),Matroid,Discrete mathematics,Combinatorics,Clique,Brooks' theorem,Degree (graph theory),Graphic matroid,Connectivity,Conjecture,Mathematics
Journal
53
Issue
ISSN
Citations 
C
0195-6698
0
PageRank 
References 
Authors
0.34
1
1
Name
Order
Citations
PageRank
James Oxley139757.57