Set-prime graph of a finite group
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Let S be a non-empty set of positive integers. We de ne the set-prime graph GS() of a given nite group of order n with respect to S, as a graph with vertex set V (GS()) = and any two vertices a and b are adjacent in GS() if and only if (o(a); o(b)) 2 S. In this paper, we observe that order prime and general order prime graphs are special cases of set-prime graphs and we investigate some properties of set-prime graphs of nite groups.
Abstract
Let S be a non-empty set of positive integers. We de ne the set-prime graph GS() of a given nite group of order n with respect to S, as a graph with vertex set V (GS()) = and any two vertices a and b are adjacent in GS() if and only if (o(a); o(b)) 2 S. In this paper, we observe that order prime and general order prime graphs are special cases of set-prime graphs and we investigate some properties of set-prime graphs of nite groups.
참고문헌 (8)
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