Graph Theory and Additive Combinatorics

Released on by Yufei Zhao
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  • Graph Theory and Additive Combinatorics Book Detail

  • Author : Yufei Zhao
  • Release Date : 2023-07-31
  • Publisher : Cambridge University Press
  • Genre : Mathematics
  • Pages : 336
  • ISBN 13 : 1009310933
  • File Size : 38,38 MB
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Graph Theory and Additive Combinatorics by Yufei Zhao PDF Summary

Book Description: 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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Graph Theory and Additive Combinatorics

Graph Theory and Additive Combinatorics

File Size : 38,38 MB
Total View : 7080 Views
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Using the dichotomy of structure and pseudorandomness as a central theme, this accessible text provides a modern introduction to extremal graph theory and addit

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Additive Combinatorics

File Size : 67,67 MB
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Additive combinatorics is the theory of counting additive structures in sets. This theory has seen exciting developments and dramatic changes in direction in re

Analytic Combinatorics

Analytic Combinatorics

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Total View : 8889 Views
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Analytic combinatorics aims to enable precise quantitative predictions of the properties of large combinatorial structures. The theory has emerged over recent d