Graph Theory: 5th edition, 2016 (Springer GTM 173) (PDF/EPUB Version)

The book can be used as a reliable text for an introductory course, as a graduate text, and for self-study.

From the reviews:

“This outstanding book cannot be substituted with any other book on the present textbook market. It has every chance of becoming the standard textbook for graph theory.” Acta Scientiarum Mathematicarum

“Deep, clear, wonderful. This is a serious book about the heart of graph theory. It has depth and integrity.” Ron Graham and Persi Diaconis in SIAM Review

“The book has received a very enthusiastic reception, which it amply deserves. A masterly elucidation of modern graph theory.” Bulletin of the Institute of Combinatorics and its Applications

“Succeeds dramatically… a hell of a good book.” MAA Reviews

“A highlight of the book is what is by far the best account in print of the Seymour-Robertson theory of graph minors.” Mathematika

“…like listening to someone explain mathematics.” Bulletin of the AMS