"Graph theory is a growing branch in the 21st century. One of the main reason for this is its applications in various disciplines such as Engineering, Chemistry, Physics, Data Analysis and sociology. In this book we have tried to explore an idea about Graceful and Harmonius Graph Labeling and its fundamentals with examples. An idea of book goes from fundamental to the frontier of research in graph labeling, with newly innovative emergent, in applied mathematics or various branches. For the reader is suitable thinking some of many labeling techniques given. I fell sure that it will be of exciting use both to students of graph theory and mathematics and provide a concrete background in the Labeling of graphs, and is intended both for a graduate or advanced undergraduate in mathematics, or computer science as reference for the researcher. The authors are well-known: Dr. Amit H. Rokad, Department of Mathematics, RK University, Rajkot, Gujarat, India, and Jatin T. Gondalia, Mathematics Teacher, SN Kansagra School and Ph.D. Scholar, RK University, Rajkot welcomes any comments, suggestions, and corrections from readers. They can be sent to his at the email address: firstname.lastname@example.org"