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Basic Graph Theory
Brief Description
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...
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Basic Graph Theory
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See moreThis text provides a gentle but thorough introduction to the areas of extremal graph theory, Ramsey theory and random graphs, while also covering the fundamental results of classical graph theory. It is aimed at undergraduates and Masters students who want to learn the basics of this vibrant area of mathematics.
A gentle introduction to the basics of graph theory, with a focus on beautiful proofs and probabilistic methods.
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Description
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.
Basic Graph Theory 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.
Book Details
INFORMATION
ISBN: 9781009344371
Publisher: Cambridge University Press
Format: Paperback / softback
Date Published: 26 March 2026
Country: United Kingdom
Imprint: Cambridge University Press
Illustration: Worked examples or Exercises
Audience: Tertiary education
DIMENSIONS
Weight: 374g
Pages: 224
About the Author
Béla Bollobás has been a fellow at Trinity College, Cambridge, for over 55 years, for decades as Director of Studies in Mathematics, and is the Chair of Excellence in Combinatorics at the University of Memphis. He has supervised over 70 PhD students. He is a fellow of the Royal Society, a foreign member of the Hungarian, Polish and Brazilian Academies of Sciences. Among the awards he has received are the Senior Whitehead Prize, the Széchenyi Prize, an Honorary Doctorate from Adam Mickiewicz University, Poznań, and the Commander's Cross of the Hungarian Order of Merit. This is his 14th book. Robert Morris has taught graph theory and combinatorics at IMPA, Rio de Janeiro, for the past 15 years and has had more than 20 PhD and Master's students. He is a member of the Brazilian Academy of Sciences and has been awarded numerous prizes, including the European Prize in Combinatorics, the Fulkerson Prize, the MCA Prize, and the Leroy P. Steele Prize for Seminal Contribution to Research. His first book was awarded the Elon Lages Lima Prize by the Brazilian Mathematical Society. This is his second book.
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