On Chromatic Number of General Kneser Graphs

Authors

  • Sharareh Alipour Sharif University of Technology
  • Amir Jafari Sharif University of Technology

DOI:

https://doi.org/10.11575/cdm.v12i2.62380

Keywords:

Graph theory, Kneser Graph, Chromatic number

Abstract

For integers $0 < i < k < n$, the general Kneser graph $K(n; k; i)$, 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 is derived.

References

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M. Kneser, Aufgabe360, Jahresber. Dtsch. Math.-Ver. 58 (1955), no. 1, 27-27.

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P. Turan, On an extremal problem in graph theory, Colloquium Mathematicae 13 (1964), no. 2, 251-254.

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Published

2017-11-27

Issue

Vol. 12 No. 2 (2017)

Section

Articles

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