Graphs with same domination and connected domination number: A review

So, for the domination number of graphs are well elaborated among different graphs with specific orders and patterns. Also, the domination theory explores graphs with connected forms and isolated vertices in well-ordered form. The work is well reviewed in different books and research articles; however, we have tried to explore the aspects of various types of trees, cubic graphs and unicyclic graphs whose connected domination number is same as the dominance number.