SOME BOUNDS ON INVERSE SUM INDEG INDEX OF SOME GRAPH OPERATIONS
The inverse sum indeg (ISI) index of a graph is defined as where du and dv are the degrees of the vertices u and v, respectively. In this paper, we study ISI index of some graph operations viz., k-fold, strong double, extended double cover, tensor, Cartesian, corona, subdivision-vertex corona, subdivision-edge corona, subdivision-vertex-neighborhood corona, subdivision-edge-neighborhood corona. In the study, we establish some exact formulas and some bounds on ISI index of the operations. The extremal cases for the bounds are also discussed.
degree of vertex, inverse sum indeg index, operations of graphs.