Precoloring Extensions of Brooks' Theorem

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Precoloring Extensions of Brooks' Theorem

Let G be a connected graph with maximum degree k (other than a complete graph or odd cycle), let W be a precolored set of vertices in G inducing a subgraph F , and let D be the minimum distance in G between components of F . If the components of F are complete graphs and D ≥ 8 (for k ≥ 4) or D ≥ 10 (for k = 3), then every proper k-coloring of F extends to a proper k-coloring of G. If the compon...

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ژورنال

عنوان ژورنال: SIAM Journal on Discrete Mathematics

سال: 2004

ISSN: 0895-4801,1095-7146

DOI: 10.1137/s0895480103425942