Extremal Combinatorics 2024 pdf epub mobi 电子书


Extremal Combinatorics

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发表于2024-06-16

Extremal Combinatorics 2024 pdf epub mobi 电子书

Extremal Combinatorics 2024 pdf epub mobi 电子书

Extremal Combinatorics 2024 pdf epub mobi 电子书



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出版者:Springer-Verlag New York Inc (C)
作者:Stasys Jukna
出品人:
页数:401
译者:
出版时间:2011-2-25
价格:USD 99.00
装帧:Hardcover
isbn号码:9783642173639
丛书系列:

图书标签: 计算机  combinatorics  数学  Combinatorics  组合数学  组合学  组合  tcs   


Extremal Combinatorics 2024 pdf epub mobi 电子书 图书描述

This book is a concise, self-contained, up-to-date introduction to extremal combinatorics for nonspecialists. There is a strong emphasis on theorems with particularly elegant and informative proofs, they may be called gems of the theory. The author presents a wide spectrum of the most powerful combinatorial tools together with impressive applications in computer science: methods of extremal set theory, the linear algebra method, the probabilistic method, and fragments of Ramsey theory. No special knowledge in combinatorics or computer science is assumed - the text is self-contained and the proofs can be enjoyed by undergraduate students in mathematics and computer science. Over 300 exercises of varying difficulty, and hints to their solution, complete the text. This second edition has been extended with substantial new material, and has been revised and updated throughout. It offers three new chapters on expander graphs and eigenvalues, the polynomial method and error-correcting codes. Most of the remaining chapters also include new material, such as the Kruskal-Katona theorem on shadows, the Lovasz-Stein theorem on coverings, large cliques in dense graphs without induced 4-cycles, a new lower bounds argument for monotone formulas, Dvir's solution of the finite field Kakeya conjecture, Moser's algorithmic version of the Lovasz Local Lemma, Schoning's algorithm for 3-SAT, the Szemeredi-Trotter theorem on the number of point-line incidences, surprising applications of expander graphs in extremal number theory, and some other new results.

Extremal Combinatorics 2024 pdf epub mobi 电子书

Extremal Combinatorics 2024 pdf epub mobi 电子书
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