The terminal wiener index (TIN) of a tree T was defined recently by Gutman et al [1] as TW(T)= Sigma(e=uv is an element of E(T)) n(e;u)n(e;v), where n(e;u) is the number of pendent vetices in T lying closer to u than to v. In this paper, we first introduce a new topological index, named modified terminal wiener index (MTW), by extending the definition of terminal wiener index to any connected graph. Then we investigate the mathematical property o...
