On the Szeged Index of monocyclic graphs
Authors/Creators
Description
Research Division, Laxmi Pest and Fumigation Pvt. Ltd., 3 Khatipura, Indore-452 007, India
School of Mathematics, Devi Ahilya Vishwavidyalaya, Indore-452 001, India
Department of Chemistry, A. P. S. University, Rewa-486 003, India
Manuscript received 29 November 1999. revised 27 April 2000, accepted 8 June 2000
Szeged index (Sz) is a new topological index based on distances between vertices of a graph. It is the extension of Wiener index (W) on cyclic graphs. These indices of cyclic molecules differ, in the general case, Sz exceeds W. Otherwise, the relation between Sz and W of cyclic molecules is not yet established thoroughly. In order to get some information about this relations, we have examined monocyclic molecules consisting n vertices (n = even, > or = 4) and observed that Sz = 2 W.