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On the Hosoya index of trees

M. B. AHMADI1,* , H. ALIMORAD DASTKHEZR1

Affiliation

  1. Department of Mathematics, College of Science, Shiraz University

Abstract

It is well known that the Hosoya index is important in structural chemistry. In [4], authors found a relation between Hosoya index of a tree and eigenvalues of its adjacency matrix. In this paper we give a relation between Hosoya index of a tree and the coefficients of characteristic polynomial of its adjacency matrix..

Keywords

Z index, tree, characteristic polynomial, eigenvalue, Vieta ҵs formula.

Submitted at: Nov. 25, 2011
Accepted at: Sept. 15, 2011

Citation

M. B. AHMADI, H. ALIMORAD DASTKHEZR, On the Hosoya index of trees, Journal of Optoelectronics and Advanced Materials Vol. 13, Iss. 9, pp. 1122-1125 (2011)