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Bounds on vertex colorings with restrictions on the union of color classes

✍ Scribed by N. R. Aravind; C. R. Subramanian


Publisher
John Wiley and Sons
Year
2011
Tongue
English
Weight
197 KB
Volume
66
Category
Article
ISSN
0364-9024

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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

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