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Some Properties of Graph Related to Conjugacy Classes of Special Linear Group SL2(F) |
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PP: 153-156 |
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Author(s) |
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Danial Khoshnevis,
Zohreh Mostaghim,
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Abstract |
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| 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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