The Exdeg Polynomial of Some Graph Operations and Applications in Nanoscience

چکیده مقاله

The variable sum exdeg index of a graph G is defined by SEIaG = uv∈EGadegGu+adegGu where a = 1 is a positive real number. In this paper the notion of variable sum exdeg polynomial of a connected graph is presented. The effects of this polynomial under some graph operations are computed. As an application the behaviour of some nanotubes and nanotori under this polynomial are investigated.