Article ID Journal Published Year Pages File Type
4653319 European Journal of Combinatorics 2016 5 Pages PDF
Abstract

Brooks proved that the chromatic number of a loopless connected graph GG is at most the maximum degree of GG unless GG is an odd cycle or a clique. This note proves an analogue of this theorem for GF(p)GF(p)-representable matroids when pp is prime, thereby verifying a natural generalization of a conjecture of Peter Nelson.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics
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