A New Graph Over Semi-Direct Products of Groups


Sercan Topkaya, A. Sinan Cevik




In this paper, by establishing a new graph $\Gamma(G)$ over the semi-direct product of groups, we will first state and prove some graph-theoretical properties, namely, diameter, maximum and minimum degrees, girth, degree sequence, domination number, chromatic number, clique number of $\Gamma(G)$. In the final section we will show that $\Gamma(G)$ is actually a perfect graph.