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The Overfull Conjecture on Split-Comparability Graphs

Published 10 Oct 2017 in math.CO | (1710.03524v1)

Abstract: We show in this paper that a split-comparability graph $G$ has chromatic index equal to $\Delta(G) + 1$ if and only if $G$ is neighborhood-overfull. That implies the validity of the Overfull Conjecture for the class of split-comparability graphs.

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