Some Studies on Dominating Functions of Corona Product Graphs

The origin of Graph Theory is supposed to be traced from the study of Konigsberg bridge problem during 1736 by the great mathematician Leonard Euler. That attracted many mathematicians to contribute much more in the study of graph theory. The first book on graph theory was published in 1936 by D. Konig. Since then relatively in a short period, major developments of graph theory has occurred and inspired to a larger degree and it has become the source of interest to many researchers. To some extent this may be due to the ever growing importance of computer science and its connection with 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., Several authors contributed articles in the wide field of domination in graphs. This book is devoted for the study of the various dominating functions of corona product graph of some standard graphs. We investigated dominating sets, total dominating sets, independent sets, dominating functions, independent dominating functions, Roman dominating functions, Minus dominating functions, Signed dominating functions of the corona graphs.