Chromatic Number in Time Using Maximal Independent Sets
Jesper Makholm Byskov December 2002 |
Abstract:
In this paper we improve an algorithm by Eppstein (2001) for
finding the chromatic number of a graph. We modify the algorithm slightly,
and by using a bound on the number of maximal independent sets of size
from our recent paper (2003), we prove that the running time is
. Eppstein's algorithm runs in time . The space
usage for both algorithms is
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