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[ 洋図書 ] Extremal problems for finite sets / ( Student mathematical library ; volume 86 )

Peter Frankl, Norihide Tokushige. -- American Mathematical Society, -- [2018], --

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中央	2F	一般洋図書	F/417.0/F83/E	7111753051		配架図 Digital BookShelf
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ISBN	1470440393 (alkaline paper)
ISBN13桁	9781470440398 （alkaline paper）
テキストの言語	英語
分類：NDC10版	417
個人著者標目	Frankl, P.
姓名の完全形	(Peter),
生没年等	1953-
本タイトル	Extremal problems for finite sets /
著者名	Peter Frankl, Norihide Tokushige.
出版地・頒布地	Providence, Rhode Island :
出版者・頒布者名	American Mathematical Society,
出版年・頒布年	[2018],
数量	viii, 224 pages ;
大きさ	22 cm.
書誌注記	Includes bibliographical references (pages 217-222) and index.
内容注記	Chapter 1. Introduction -- Chapter 2. Operations on sets and set systems -- Chapter 3. Theorems on traces -- Chapter 4. The Erdős-Ko-Rado Theorem via shifting -- Chapter 5. Katona's circle -- Chapter 6. The Kruskal-Katona Theorem -- Chapter 7. Kleitman Theorem for no s pairwise disjoint sets -- Chapter 8. The Hilton-Milner Theorem -- Chapter 9. The Erdős matching conjecture -- Chapter 10. The Ahlswede-Khachatrian Theorem -- Chapter 11. Pushing-pulling method -- Chapter 12. Uniform measure versus product measure -- Chapter 13. Kleitman's correlation inequality -- Chapter 14. r-Cross union families -- Chapter 15. Random walk method -- Chapter 16. L-systems -- Chapter 17. Exponent of a (10, {0, 1, 3, 6})-system -- Chapter 18. The Deza-Erd˝os-Frankl Theorem -- Chapter 19. F¨uredi's structure theorem -- Chapter 20. R¨odl's packing theorem -- Chapter 21. Upper bounds using multilinear polynomials -- Chapter 22. Application to discrete geometry -- Chapter 23. Upper bounds using inclusion matrices -- Chapter 24. Some algebraic constructions for L-systems -- Chapter 25. Oddtown and eventown problems -- Chapter 26. Tensor product method -- Chapter 27. The ratio bound -- Chapter 28. Measures of cross independent sets -- Chapter 29. Application of semidefinite programming -- Chapter 30. A cross intersection problem with measures -- Chapter 31. Capsets and sunflowers -- Chapter 32. Challenging open problems.
要約、抄録、注釈等	"One of the great appeals of Extremal Set Theory as a subject is that the statements are easily accessible without a lot of mathematical background, yet the proofs and ideas have applications in a wide range of fields including combinatorics, number theory, and probability theory. Written by two of the leading researchers in the subject, this book is aimed at mathematically mature undergraduates, and highlights the elegance and power of this field of study." -- Publisher's description
著者標目	徳重典英, 1963-
統一タイトル(シリーズ副出標目)	Student mathematical library ;
シリーズの巻次	v. 86.
シリーズ名・巻次	Student mathematical library ; volume 86
一般件名	Extremal problems (Mathematics) Set theory.
資料情報1	『Extremal problems for finite sets /』（Student mathematical library ; volume 86）　Peter Frankl, Norihide Tokushige.　American Mathematical Society,　[2018], （所蔵館：中央　請求記号：F/417.0/F83/E　資料コード：7111753051）
URL	https://catalog.library.metro.tokyo.lg.jp/winj/opac/switch-detail.do?lang=ja&bibid=1352037658

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