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Paper   IPM / M / 15243
School of Mathematics
  Title:   On the chromatic number of generalized Kneser graphs
  Author(s):  Amir Jafari (Joint with Sh. Alipour)
  Status:   Published
  Journal: Contributions to Discrete Mathematics
  Vol.:  12
  Year:  2017
  Pages:   69-76
  Supported by:  IPM
  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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