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On the Lower Bound of the Spectrum of Some Mean-Field Models

✍ Scribed by Granovsky, B. L.; Zeifman, A. I.


Book ID
118220817
Publisher
Society for Industrial and Applied Mathematics
Year
2005
Tongue
English
Weight
142 KB
Volume
49
Category
Article
ISSN
0040-585X

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Let G be a graph with n vertices. The mean color number of G, denoted by (G), is the average number of colors used in all n-colorings of G. This paper proves that (G) ! (Q), where Q is any 2-tree with n vertices and G is any graph whose vertex set has an ordering x 1 ,x 2 , . . . ,x n such that x i