Abbas Heydari - اراک- خیابان قیام- خیابان شهروند-خیام ۲پلاک ۵۱۳

Let G be simple connected graph with the vertex and edge sets V(G) and E(G), respectively. The Schultz and Modified Schultz indices of a connected graph G are defined as Sc(G) =۱/۲ ∑u,v∈V(G) (du + dv)d(u,v) and Sc*(G) = ۱\۲∑u,v∈ V(du×dv)d(u, v), where d(u, v) is the topological distance between vertices u and v, d_v is the degree of vertex v of G. In this paper, computation of the Schultz and Modified Schultz indices of the Kragujevac trees is proposed. As application, we obtain an upper bound and a lower bound for the Schultz and the modified Schultz indices of this tree.

Schultz index, Modied Schultz index, Kragujevac tree