REVAN WEIGHTED PI INDEX ON SOME PRODUCT OF GRAPHS

REVAN WEIGHTED PI INDEX ON SOME PRODUCT OF GRAPHS

M. Priyadharshini, P. Kandan, E. Chandrasekaran, A. J. Kennedy

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Abstract

In chemical graph thoery, PI index is an additive topological index which has been used to measure the characteristics of chemical compounds. In this paper we introduce the weighted version of PI index of graph called the Revan Weighted PI index and we have obtained it for the hierarchical product of graphs, cartesian product, subdi- vision and join of two graphs. Also we have derived this index for some molecular graphs.

Keywords

Hierarchical Product, Cartesian Product, Subdivision, Join, PI index, Weighted PI index, Revan index.