$T$ and $St$-Coloring of Corona Product and Edge Corona Product of Graphs

Abstract

When coloring a graph's vertices, a particular technique known as T -coloring is used to ensure that the absolute difference between the colors allocated to the end vertices of any edge will not be an element of a predetermined set T of non-negative integers that includes zero. A type of T -coloring of a graph known as ST -coloring is one in which there is a noticeable absolute difference between the assigned colors of each edge's end vertices. Here, we discuss these colorings on the Corona product and the edge corona network of graphs. We obtain a few findings on the chromatic numbers associated with the T and ST -colorings, as well as the span and edge span of these graph products.