“School of Mathematics”
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Paper IPM / M / 15243 |
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Abstract: | |
Forintegersn,k,andi,thegeneralizedKnesergraphK(n,k, i), is a graph whose vertices are subsets of size k of the set 1, 2, ..., n and two vertices F and F �?� are connected if and only if their intersection has less than i elements. In this paper we study the chromatic number of this graph. Some new bounds and properties for this chromatic number are derived.
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