Coloring k-colorable graphs using relatively small palettes.

We obtain the following new coloring results: ? A 3-colorable graph on n vertices with maximum degree Δ can be colored, in polynomial time, using O((ΔlogΔ)1/3·logn) colors. This slightly improves an O((Δ1/3log1/2Δ)·logn) bound given by Karger, Motwani, and Sudan. More generally, k-colorable graphs...

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Bibliographic Details
Published in:Journal of algorithms. 45, 1 (2002).
Main Author: Halperin, Eran
Format: Article
Language:English
Subjects: