Discussiones Mathematicae Graph Theory 28(2) (2008) 219.228
doi: 10.7151/dmgt.1402

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THE WIENER NUMBER OF KNESER GRAPHS

Rangaswami Balakrishnan  and  S. Francis Raj

Srinivasa Ramanujan Centre, SASTRA University
Kumbakonam-612 001, India
e-mail: mathbala@satyam.net.in
e-mail: francisraj_s@yahoo.com

Abstract

The Wiener number of a graph G is defined as [1/2]∑d(u,v), where u,v ∈ V(G), and d is the distance function on G. The Wiener number has important applications in chemistry. We determine the Wiener number of an important family of graphs, namely, the Kneser graphs.

Keywords: Wiener number, Kneser graph, odd graph.

2000 Mathematics Subject Classification: 05C12.

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Received 21 May 2007
Revised 18 February 2008
Accepted 20 February 2008