Erdõs-Ko-Rado Theorems: Algebraic Approaches
Language: English
Published by Cambridge University Press, GB, 2015
Series: Book 78 of 151 - Cambridge Studies in Advanced Mathematics
- Hardcover
- New
Seller: Rarewaves.com UK, London, United KingdomRarewaves.com UK
AbeBooks seller since June 11, 2025
Condition: New
£ 102.33
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Add to basketItem description from seller
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.
Seller Inventory # LU-9781107128446
- Title
- Erdõs-Ko-Rado Theorems: Algebraic Approaches
- Author
- Christopher Godsil, Karen Meagher
- Publisher
- Cambridge University Press, GB
- Publication year
- 2015
- Condition
- New
- Binding
- Hardback
- Language
- English
- ISBN 10
- 1107128447
- ISBN 13
- 9781107128446
- Edition
- Illustrated.
- Item weight
- 620 grams
- Dimensions
- 15.24 x 2.54 x 22.86 cm
- Series
- Book 78 of 151: Cambridge Studies in Advanced Mathematics
"Synopsis" may belong to another edition of this title.
About the Author
Karen Meagher is an associate professor in the Department of Mathematics and Statistics at the University of Regina, Saskatchewan, Canada. Her research area is graph theory and discrete mathematics in which she has published around 25 journal articles.
"About the title" may belong to another edition of this title.
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