BOUNDS ON HYPER-STATUS CONNECTIVITY INDEX OF GRAPHS

BOUNDS ON HYPER-STATUS CONNECTIVITY INDEX OF GRAPHS

K. Pattabiraman, A. Santhakumar

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Abstract

In this paper, we obtain the bounds for the hyper-status connectivity indices of a connected graph and its complement in terms of other graph invariants. In addi- tion, the hyper-status connectivity indices of some composite graphs such as Cartesian product, join and composition of two connected graphs are obtained. We apply some of our results to compute the hyper-status connectivity indices of some important classes of graphs.

Keywords

Wiener index, status connectivity index, composite graph.