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Mathematical Sciences Letters
An International Journal


Volumes > Vol. 4 > No. 2


Some Properties of Graph Related to Conjugacy Classes of Special Linear Group SL2(F)

PP: 153-156
Danial Khoshnevis, Zohreh Mostaghim,
Suppose that G is a finite group. The graph G (G) is related to conjugacy classes of G. Its vertices are the non-central conjugacy classes of G and there is an edge between each two distinct vertices of G (G), if and only if their class sizes have a common prime divisor. In this paper, some properties of graph G (G) such as chromatic polynomial, chromatic number, clique number and independence number are studied for G∼= SL2(F), where F is a finite field.

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