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Erdos–Ko–Rado(Cambridge Studies in Advanced Mathematics Vol. 149) hardcover 350 p. 15

Godsil, Christopher, Meagher, Karen  著

在庫状況 海外在庫有り  お届け予定日 1ヶ月  数量 冊 
価格 特価  \20,225(税込)         

発行年月 2015年11月
出版社/提供元
出版国 アメリカ合衆国
言語 英語
媒体 冊子
装丁 hardcover
ページ数/巻数 350 p.
ジャンル 洋書/理工学/数学/代数学
ISBN 9781107128446
商品コード 1018069320
本の性格 学術書
商品URL
参照
https://kw.maruzen.co.jp/ims/itemDetail.html?itmCd=1018069320

内容

Aimed at graduate students and researchers, this fascinating text provides a comprehensive study of the Erdos-Ko-Rado Theorem, with a focus on algebraic methods. The authors begin by discussing well-known proofs of the EKR bound for intersecting families. The natural generalization of the EKR Theorem holds for many different objects that have a notion of intersection, and the bulk of this book focuses on algebraic proofs that can be applied to these different objects. The authors introduce tools commonly used in algebraic graph theory and show how these can be used to prove versions of the EKR Theorem. Topics include association schemes, strongly regular graphs, the Johnson scheme, the Hamming scheme and the Grassmann scheme. Readers can expand their understanding at every step with the 170 end-of-chapter exercises. The final chapter discusses in detail 15 open problems, each of which would make an interesting research project.

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