Star – In – Coloring Of Herschel, General Theta And Corona Graphs

Abstract

A proper coloring of a graph  is a mapping  such that if  then .  In this paper we prove that Herschel graph, General Theta graph and Corona graph are star–in–coloring graphs and give the exact value of the Star – in – Chromatic number of these graphs. Also provide the bounds for Star – in – Chromatic number of the corona between cycles and paths.