ATOM-BOND-CONNECTIVITY INDEX OF CERTAIN GRAPHS

ATOM-BOND-CONNECTIVITY INDEX OF CERTAIN GRAPHS

K. N. Prakasha, P. S. K. Reddy, I. N. Cangul

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Abstract

The ABC index is one of the most applicable topological graph indices and several properties of it has been studied already due to its extensive chemical applica- tions. Several variants of it have also been de ned and used for several reasons. In this paper, we calculate the atom-bond connectivity index of some derived graphs such as double graphs, subdivision graphs and complements of some standard graphs.

Keywords

Atom-bond-connectivity index, double graphs, subdivision graphs, k-complement.