Graph Theory and Additive Combinatorics : (Record no. 7424)

MARC details
000 -LEADER
fixed length control field 01643 a2200169 4500
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20251011163506.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 251011b |||||||| |||| 00| 0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
ISBN 9781009310949
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 511.5
Item number ZhaG
100 ## - MAIN ENTRY--AUTHOR NAME
Personal name Zhao, Yufei
245 ## - TITLE STATEMENT
Title Graph Theory and Additive Combinatorics :
Remainder of title Exploring Structure and Randomness /
Statement of responsibility, etc Yufei Zhao
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Name of publisher Cambridge University Press :
Place of publication New York ,
Year of publication ©2023.
300 ## - PHYSICAL DESCRIPTION
Number of Pages xvii, 316p.
520 ## - SUMMARY, ETC.
Summary, etc 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.
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Graph Theory
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type Books
Holdings
Withdrawn status Lost status Damaged status Collection code Home library Current library Shelving location Date acquired Source of acquisition Purchase Price Bill number Full call number Accession Number Print Price Bill Date/Price effective from Koha item type
      Mathematics Indian Institute of Technology Tirupati Indian Institute of Technology Tirupati General Stacks 01/01/2025 Shah Book House 4529.08 SBH/28599 511.5 ZhaG (12227) 12227 6470.12 07/10/2025 Books