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Discussiones Mathematicae Graph Theory 31(4) (2011) 737-751
DOI: https://doi.org/10.7151/dmgt.1576

Wiener Index of the Tensor Product
of a Path and a Cycle

K. Pattabiraman and P. Paulraja Department of Mathematics Annamalai University Annamalainagar 608 002, India

Abstract

The Wiener index, denoted by W(G), of a connected graph G is the sum of all pairwise distances of vertices of the graph, that is, W(G) = ½ Σ_{u,v ∈ V(G)}d(u,v). In this paper, we obtain the Wiener index of the tensor product of a path and a cycle.

Keywords: tensor product, Wiener index

2010 Mathematics Subject Classification: 05C12, 05C76.

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Received 1 July 2010
Revised 9 November 2010
Accepted 11 November 2010