On thewiener polynomials of some trees

الملخص EN

The Wiener index is a graphical invariant which has found many applications in chemistry.

The Wiener Polynomial of a connected graph G is the generating function of the sequence (C (G, k)) whose derivative at x = 1 is the Wiener index W (G) of G, in which C (G, k) is the number of pairs of vertices distance k apart.

The Wiener Polynomials of star-like trees and other special trees are found in this paper; and hence a formula of the Wiener index for each such trees is obtained.