Abstract

The most acclaimed distance based topological index, Wiener index was introduced by the chemist H. Wiener in 1947 [20]. It is defined as the sum of the lengths of the shortest paths between all pairs of vertices of a graph $G$. In this paper, we have computed the Wiener and Terminal Wiener indices of certain classes of trees known as Gutman trees and Kragujevac trees.

Keywords and Phrases

Topological Indices, Wiener Index, Gutman Trees, Broom Graph, Kragujevac trees.

A.M.S. subject classification

05C05, 05C07, 05C012, 05C35.

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