a new construction of regular and quasi-regular self-complementary graphs

A graph $g$ with a vertex set $v$ and an edge set $e$ is called regular if the degree of every vertex is the same. a quasi-regular graph is a graph whose vertices have one of two degrees $r$ and $r-1$, for some positive integer $r$. a graph $g$ is said to be self-complementary if $g$ is isomorphic to it’s complement $overline{g}$. in this paper we give a new method for construction of regular and quasi-regular self-complementary graph.