on the szeged and eccentric connectivity indices of non-commutative graph of finite groups

Let g be a non-abelian group. the non-commuting graph γg of g is defined as the graph whose vertex set is the non-central elements of g and two vertices are joined if and only if they do not commute. in this paper we study some properties of γg and introduce n-regular ac-groups. also we then obtain a formula for szeged index of γg in terms of n, |z(g)| and |g| . moreover, we determine eccentric connectivity index of γg for every non-abelian finite group g in terms of the number of conjugacy classes k(g) and the size of the group g.