My book is related to the Concept of Graph Theory. The last century has witnessed an upsurge growth in theory of graphs and its related concepts. The unprecedented rise of computer science and its applications is one of the reasons for recognition of graph theory as a subject of larger interest. It is believed that the well celebrated Königsberg bridge problem has been the origin of graph theory and the representation of the problem by means of vertices and edges initiated by Swiss Mathematician Leonhard Euler(1707-1783) was the first graph drawn ever in the history of graph theory. The Present book is aimed for Coloring and Domination Problems in Graph Theory with its applications in Real life problems and Computer sciences.