The theory of Graphs is one of the major areas of combinatorics that has developed into an important branch of Mathematics. The theory of domination in graphs is an emerging area of research in graph theory today. It has been studied extensively and finds applications to various branches of Science & Technology. Frucht and Harary [8] introduced a new product on two graphs G1 and G2, called corona product denoted by G1G2. In this paper, some results on convexity of minimal edge,total edge ; minimal signed, total signed ; minimal Roman and total Roman edge dominating functions of corona product graph of a cycle with a star are discussed.

Keywords : Corona Product, Edge Dominating Function, Total Edge Dominating Function, Signed Edge Dominating Function, Total Signed Edge Dominating Function, Roman Edge Dominating Function, Total Roman Edge Dominating Function, Convexity of Functions.