Graph Theory and Additive Combinatorics: Exploring Structure and Randomness - Hardcover

Zhao, Yufei

 
9781009310949: Graph Theory and Additive Combinatorics: Exploring Structure and Randomness
Hardcover
ISBN 10: 1009310941 ISBN 13: 9781009310949
Verlag: Cambridge University Press, 2023

Inhaltsangabe

Using the dichotomy of structure and pseudorandomness as a central theme, this accessible text provides a modern introduction to extremal graph theory and additive combinatorics. Readers will explore central results in additive combinatorics-notably the cornerstone theorems of Roth, Szemerédi, Freiman, and Green-Tao-and will gain additional insights into these ideas through graph theoretic perspectives. Topics discussed include the Turán problem, Szemerédi's graph regularity method, pseudorandom graphs, graph limits, graph homomorphism inequalities, Fourier analysis in additive combinatorics, the structure of set addition, and the sum-product problem. Important combinatorial, graph theoretic, analytic, Fourier, algebraic, and geometric methods are highlighted. Students will appreciate the chapter summaries, many figures and exercises, and freely available lecture videos on MIT OpenCourseWare. Meant as an introduction for students and researchers studying combinatorics, theoretical computer science, analysis, probability, and number theory, the text assumes only basic familiarity with abstract algebra, analysis, and linear algebra.

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Über die Autorin bzw. den Autor

Yufei Zhao is Associate Professor of Mathematics at the Massachusetts Institute of Technology. His research tackles a broad range of problems in discrete mathematics, including extremal, probabilistic, and additive combinatorics, graph theory, and discrete geometry, as well as applications to computer science. His honors include the SIAM Dénes Kőnig prize (2018), the Sloan Research Fellowship (2019), and the NSF CAREER Award (2021). This book is based on an MIT graduate course, which he has taught and developed over the last five years.

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Verlag
Cambridge University Press
Erscheinungsdatum
2023
Sprache
Englisch
ISBN 10 
1009310941
ISBN 13 
9781009310949
Einband
Tapa dura
Anzahl der Seiten
338
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
Avery
https://www.avery.fr/

chemin des peupliers 27
Dardilly
Frankreich