Graph theory which was born in the eighteenth century with the now famous "koingsberg bridge problem" Has now developed into a vast discipline with multifarious applications. The subject is currently studied by students in Indian universities both at the B.Sc. And M.Sc. Levels.? br/> this book is designed as an undergraduate textbook and takes the reader through the various topics in graph theory like eulerian and hamiltonian graphs, planarity, colouring and digraphs. Br>chapter 4 which deals with vector spaces associated with graphs is a novelist, rarely found in textbooks. The notes at the end of each br>Chapter provide a historical background and further references on the topics dealt with in the br>Chapter a fairly exhaustive collection of exercises illustrate and elucidate the concepts The theorems.? br/>.