Wiener Index of Sodium Chloride and Benzenoid Structures

Ahmad Al-Kandari1, Paul Manuel2, Indra Rajasingh3
1Department of Electrical Engineering, College of Technological Studies, Kuwait.
2Department of Information Science, Kuwait University, Safat, Kuwait.
3Department of Mathematics, Loyola College, Chennai 600 034, India.

Abstract

The topological descriptor Wiener index, named after the chemist Harold Wiener, is defined as half the sum of the distances between every pair of vertices of a graph. A lot of research has been devoted to finding the Wiener index by brute force method. In this paper, we compute the Wiener index of chemical structures such as sodium chloride and benzenoid without using a distance matrix.

Keywords: Wiener index, embedding, sodium chloride, honeycomb.