Domination in graphs is the fast growing area of research in Graph theory that has emerged rapidly in the last three decades. An introduction and an extensive overview on domination in graphs and related topics is surveyed and detailed in the two books by Haynes et al. [ 6, 7 ]. They have applications in diverse areas such as logistics and networks design, mobile computing, resource allocation and telecommunication etc. Product of graphs occurs naturally in discrete mathematics as tools in combinatorial constructions. They give rise to important classes of graphs and deep structural problems. In this paper the concept of total dominating functions of corona product graph of a cycle with a complete graph is studied and some results on minimal total dominating functions are obtained.
Domination in graphs has been studied extensively and at present it is an emerging area of research in graph theory. An introduction and an extensive overview on domination in graphs and related topics is surveyed and detailed in the two books by Haynes et al. [1,2]. Dominating sets have applications in diverse areas such as logistics and networks design, mobile computing, resource allocation and telecommunication etc.Product of graphs occurs naturally in discrete mathematics as tools in combinatorial constructions. In this paper we present some results on minimal Y-dominating functions of corona product graph of a cycle with a complete graphs..
Graph theory is one of the most flourishing branches of modern mathematics and computer applications. Domination in graphs has been studied extensively in recent years and it is an important branch of graph theory. An introduction and an extensive overview on domination in graphs and related topics is surveyed and detailed in the two books by Haynes et al. [ 6,7]. Recently dominating functions in domination theory have received much attention. In this paper we present some results on minimal signed dominating functions and minimal total signed dominating functions of corona product graph of a path with a star.
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