Sinossi
A gentle introduction to the basics of graph theory, with a focus on beautiful proofs and probabilistic methods.
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Informazioni sugli autori
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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Basic Graph Theory
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Basic Graph Theory (Hardcover)
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Hardcover. Condizione: new. Hardcover. 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. This 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. This item is printed on demand. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Codice articolo 9781009344333
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Basic Graph Theory
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Hardback. Condizione: New. 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. Codice articolo LU-9781009344333
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Basic Graph Theory
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ISBN 13: 9781009344333
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Basic Graph Theory
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Cambridge University Press, GB, 2026
ISBN 10: 1009344331
ISBN 13: 9781009344333
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Hardback. Condizione: New. 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. Codice articolo LU-9781009344333
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