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  • Combinatorics, Probability and Computing, Volume 13, Issue 6
  • November 2004, pp. 857-865

On the Strong Chromatic Number

  • P. E. HAXELL (a1)
  • DOI: http://dx.doi.org/10.1017/S0963548304006157
  • Published online: 03 November 2004
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.

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Combinatorics, Probability and Computing
  • ISSN: 0963-5483
  • EISSN: 1469-2163
  • URL: /core/journals/combinatorics-probability-and-computing
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