This standard textbook of modern graph theory, now in its sixth edition, combines the authority of a classic with the engaging freshness of style that is the hallmark of active mathematics. It covers the core material of the subject with concise yet reliably complete proofs, while offering glimpses of more advanced methods in each field by one or two deeper results, again with proofs given in full detail.
The book can be used as a reliable text for an introductory course, as a graduate text, and for self-study.
New in this 6th edition:
This is a major new edition. Among many other improvements, it offers additional tools for applying the regularity lemma, brings the tangle theory of graph minors up to the cutting edge of current research, and addresses new topics such as chi-boundedness in perfect graph theory.
Internal links:
The theorem numbers etc in the text and margins are links: tap on them to be taken to that theorem. This works best if you magnify the link a little first, then tap for 1-2 seconds.
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." Persi Diaconis & Ron Graham, 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
“…like listening to someone explain mathematics.” Bulletin of the AMS
