Basic Graph Theory (Hardcover) (ISBN-13: 9781009344333)

Over the past few decades, graph theory has developed into one of the central areas of modern mathematics, with close (and growing) connections to areas of pure mathematics such as number theory, probability theory, algebra and geometry, as well as to applied areas such as the theory of networks, machine learning, statistical physics, and biology. It is a young and vibrant area, with several major breakthroughs having occurred in just the past few years. This book offers the reader a gentle introduction to the fundamental concepts and techniques of graph theory, covering classical topics such as matchings, colourings and connectivity, alongside the modern and vibrant areas of extremal graph theory, Ramsey theory, and random graphs. The focus throughout is on beautiful questions, ideas and proofs, and on illustrating simple but powerful techniques, such as the probabilistic method, that should be part of every young mathematician's toolkit.

Author: Béla Bollobás,Robert Morris
ISBN-10: 1009344331
ISBN-13: 9781009344333
Publisher: Cambridge University Press
Language: English
Published: 03/26/2026
Pages: 224
Format: Hardcover
Weight: 1.04lbs
Size: 9.00h x 6.00w x 0.56d