Now in a new, revised edition, this book provides readers with an introduction to graph theory. The authors enhance the basic material by including a wide variety of applications to both other branches of mathematics and to real-world problems. Each application has been carefully selected and is treated in some depth. Also emphasized throughout the book is the importance of efficient methods of solving problems.

The primary aim of this book is to present a coherent introduction to graph theory, suitable as a textbook for advanced undergraduate and beginning graduate students in mathematics and computer science. It provides a systematic treatment of the theory of graphs without sacrificing its intuitive and aesthetic appeal. Commonly used proof techniques are described and illustrated. The book also serves as an introduction to research in graph theory.