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Published in:
2002 | OriginalPaper | Chapter
A First Glimpse of Total Colouring
Authors : Michael Molloy, Bruce Reed
Published in: Graph Colouring and the Probabilistic Method
Publisher: Springer Berlin Heidelberg
Included in: Professional Book Archive
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In Part II, we introduced three probabilistic tools and saw an application of each of them. In the last chapter, we saw a more complicated application of one of them, the First Moment Method. In this chapter, we will illustrate the power of combining the other two, the Local Lemma and the Chernoff Bound, by discussing their application to total colouring.