Graphs are both natural and human made structures. This paper is about the introduction of a new method for fixing a minimum number of surveillance cameras in any place by using the concept of domination sets. The main aim of this paper is to present the importance of graph theoretical ideas in various areas of Science & Engineering for researches that they can use Domination in graph theoretical concepts for the research. Domination in graphs has been an extensively researched branch of graph theory. It is clearly established from the exclusive coverage of the “Topics on domination in graph” in the 86th issue of the Journal of Discrete mathematics (1990), that the theory of domination is a very popular area for research activity in graph theory. In 1958, Berge defined the concept of the domination number of a graph, calling this as “coefficient of External Stability”. In 1962, Ore used the name “dominating set‟ and “domination number‟ for the same concept. They have used the notation (G) for the domination number of a graph, which has become very popular in real life.