On the inverse sum indeg index of some graph operations

Author

Department of Mathematics, University of Mersin, Mersin, Turkey

Abstract

Topological indices are the molecular descriptors that describe the structures of
chemical compounds. They are used in isomer discrimination, structure-property
relationship, and structure-activity relations. The topological indices are used to predict
certain physico-chemical properties such as boiling point, enthalpy of vaporization,
and stability. In this paper, the inverse sum indeg index is studied. This index (ISI(G)) is
defined as  dudv
du+dv
. The inverse sum indeg index of some graph operations is
computed. These operations are join, sequential join, cartesian product, lexicographic
product, and corona operation.

Keywords