Another counterexample to the rank-colouring conjecture

Another counterexample to the rank-colouring conjecture

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Article ID: iaor19931471
Country: Belgium
Volume: 31
Start Page Number: 91
End Page Number: 109
Publication Date: Dec 1991
Journal: Belgian Journal of Operations Research, Statistics and Computer Science
Authors:
Abstract:

Alan and Seymour’s procedure is extended to find a counterexample of the Rank-Colouring conjecture, which was proposed by van Nuffelen. This conjecture states that the rank of the incidence matrix of a graph is an upper bound for the chromatic number of that graph.

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