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Titlebook: Extremal Combinatorics; With Applications in Stasys Jukna Textbook 2011Latest edition Springer-Verlag Berlin Heidelberg 2011 Combinatorics.

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发表于 2025-3-21 17:16:07 | 显示全部楼层 |阅读模式
书目名称Extremal Combinatorics
副标题With Applications in
编辑Stasys Jukna
视频video
概述A concise, self-contained, up-to-date introduction to extremal combinatorics for nonspecialists.No special combinatorial or algebraic background is assumed, all necessary elements of linear algebra an
丛书名称Texts in Theoretical Computer Science. An EATCS Series
图书封面Titlebook: Extremal Combinatorics; With Applications in Stasys Jukna Textbook 2011Latest edition Springer-Verlag Berlin Heidelberg 2011 Combinatorics.
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 Lovász—Stein theorem on coverings, large cliques in dense graphs without induced 4-cycles
出版日期Textbook 2011Latest edition
关键词Combinatorics; Discrete Probability; Error-Correcting Codes; Extremal Combinatorics; Extremal Set Theory
版次2
doihttps://doi.org/10.1007/978-3-642-17364-6
isbn_softcover978-3-642-26990-5
isbn_ebook978-3-642-17364-6Series ISSN 1862-4499 Series E-ISSN 1862-4502
issn_series 1862-4499
copyrightSpringer-Verlag Berlin Heidelberg 2011
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发表于 2025-3-21 23:40:47 | 显示全部楼层
1862-4499 ting codes. Most of the remaining chapters also include new material, such as the Kruskal—Katona theorem on shadows, the Lovász—Stein theorem on coverings, large cliques in dense graphs without induced 4-cycles978-3-642-26990-5978-3-642-17364-6Series ISSN 1862-4499 Series E-ISSN 1862-4502
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1862-4499 ound is assumed, all necessary elements of linear algebra an.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. T
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https://doi.org/10.1007/978-981-97-2468-0er a related problem of how to . an object within a given universum according to its weight. Finally, we will describe the so-called “dictator paradox” saying that, if the society fulfills some simple “democracy axioms,” then there will always be an individual (a dictator?) whose options prevail against all options.
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Witness Sets and Isolationer a related problem of how to . an object within a given universum according to its weight. Finally, we will describe the so-called “dictator paradox” saying that, if the society fulfills some simple “democracy axioms,” then there will always be an individual (a dictator?) whose options prevail against all options.
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Designsarieties. But if . is large, this is very impractical (if not dangerous, as in the case of wines), and the comparisons become rather unreliable. Thus, we should try to design the experiment so that .<..
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Textbook 2011Latest editionwith 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 probabilisti
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