This standard textbook of modern graph theory, now in its fourth 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. --Book Jacket.