Asian Journal of Mathematics and Computer Research

ARITHMATIC-GEOMETRIC INDEX OF GENERALIZED TRANSFORMATION GRAPHS

ANJUM KHAN

Department of Mathematics, Bearys Institute of Technology, Boliyar, Mangalore - 574153, Karnataka, India.

RAJU JUMMANNAVER *

Department of Mathematics, Bearys Institute of Technology, Boliyar, Mangalore - 574153, Karnataka, India.

*Author to whom correspondence should be addressed.

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Abstract

The topological indices play an importatnt role in the studies of quantitative structure property relationship (QSPR) and quantitative structre activity relationship (QSAR) in mathematical chem- istry. In this paper, the expressions for the Arithmetic - Geometric(AG₁) index of the generalized transformation graphs G^xy and for their complement graphs are obtained.

Keywords: Arithmetic - geometric (AG1) index, generalized transformation graphs

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