International Journal of Computational and Applied Mathematics
  • Year: 2010
  • Volume: 5
  • Issue: 2

Relation Between Chromatic Number and Graph Folding

  • Author:
  • M. R. Zeen El-Deen
  • Total Page Count: 10
  • Page Number: 189 to 198

Department of Mathematics, Faculty of Science, Suez Canal University, Suez, Egypt.

Mathematical Subjected Classification: 51H10, 57N10

Abstract

In this paper we discussed the relation between the chromatic number and graph folding. Theorem governing this relation are achieved.We prove that if the chromatic number of a graph equal the number of its vertices then the graph cannot be folded.Also we prove that we cannot fold any connected graph when the clique number is less than the chromatic number

Keywords

Chromatic number, Folding graph, Clique number