Abstract
In this chapter, we continue our analysis of the relationship between ω, Δ, and χ. To do so, we need to modify our naive colouring procedure so as to take advantage of the decomposition result described in the last chapter. The analysis of this variant of the Naive Colouring Procedure requires a strengthening of Talagrand’s Inequality obtained by McDiarmid.
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© 2002 Springer-Verlag Berlin Heidelberg
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Molloy, M., Reed, B. (2002). ω, Δ and χ. In: Graph Colouring and the Probabilistic Method. Algorithms and Combinatorics, vol 23. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-04016-0_16
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DOI: https://doi.org/10.1007/978-3-642-04016-0_16
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-04015-3
Online ISBN: 978-3-642-04016-0
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