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On the Strong Chromatic Number

Published online by Cambridge University Press:  03 November 2004

P. E. HAXELL
P. E. HAXELL
Affiliation:
Department of Combinatorics and Optimization, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1 (e-mail: [email protected])
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Abstract

Let $G$ be a finite graph with maximum degree at most $d$. Then, for every partition of $V(G)$ into classes of size $3d-1$, there exists a proper colouring of $G$ with $3d-1$ colours in which each class receives all $3d-1$ colours.

Type
Paper
Information
Combinatorics, Probability and Computing , Volume 13 , Issue 6 , November 2004 , pp. 857 - 865
Copyright
2004 Cambridge University Press

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