ON THE DIFFERENCE BETWEEN DYNAMIC CHROMATIC NUMBER AND CHROMATIC NUMBER OF GRAPHS WITHOUT SOME SUBGRAPHS

Journal of Mathematical Sciences Advances and Applications · 2015

For integers , 0 , > r k a ( ) colouring -, r k of a graph G is a proper colouring on the vertices of G by k colours such that every vertex v of degree ( ) v d is adjacent to vertices with at least ( ) { } r v d , min different colours.The dynamic chromatic number, denoted by ( ),graphs and graphs without even cycles.

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