b-Chromatic Number of Some Operations on Cycle and Path
Keywords:
b-chromatic number, b-coloring, cycle, path, addition, deletion, union, complementAbstract
A b-vertex coloring of a graph G is a proper vertex coloring of G such that each color class contains a vertex that has at least one vertex in every other color class in its neighborhood. Here, the paper deals with the b-chromatic number of adding parallel chords in Cycle, Union of Path with Cycle and its complement, deletion and addition of vertices and edges in a Cycle.