Computing Y-index of Different Corona Products of Graphs
S. Nagarajan
*
Department of Mathematics, Kongu Arts and Science College, Erode, Tamil Nadu, India.
M. Durga
Department of Mathematics, Kongu Arts and Science College, Erode, Tamil Nadu, India.
*Author to whom correspondence should be addressed.
Abstract
The Y-index of a graph is defined by the sum of four of degrees of the vertices of a graph. Among the all topological indices the Zagreb indices have been used more considerably than any other topological indices in chemical literature. The concept of Corona Product is a recent inclusion to mathematical vocabulary. One of the most significant graph operations is the corona product of several generic and specific graphs, which is one of the most well-known graph products. In this study, we derive some explicit formulations of several corona product types, including subdivision-vertex corona, subdivision-edge corona, subdivision-vertex neighborhood corona, subdivision-edge neighborhood corona, and vertex-edge corona of two graphs.
Keywords: Topological index, Zagreb index, Y-index, corona product, graph operations