Erdős–Ko–Rado Theorems: Algebraic Approaches: 149 (Cambridge Studies in Advanced Mathematics, Series Number 149) - Hardcover
Book 78 of 151: Cambridge Studies in Advanced Mathematics
Synopsis
Graduate text focusing on algebraic methods that can be applied to prove the Erdős–Ko–Rado Theorem and its generalizations.
"synopsis" may belong to another edition of this title.
About the Authors
Christopher Godsil is a professor in the Combinatorics and Optimization Department at the University of Waterloo, Ontario. He authored (with Gordon Royle) the popular textbook Algebraic Graph Theory. He started the Journal of Algebraic Combinatorics in 1992 and he serves on the editorial board of a number of other journals, including the Australasian Journal of Combinatorics and the Electronic Journal of Combinatorics.
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 this title" may belong to another edition of this title.
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Erd?s?Ko?Rado Theorems: Algebraic Approaches: 149 (Cambridge Studies in Advanced Mathematics, Series Number 149)
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Erd?s?Ko?Rado Theorems: Algebraic Approaches: 149 (Cambridge Studies in Advanced Mathematics, Series Number 149)
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Erdos-Ko-Rado Theorems : Algebraic Approaches
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Erdős-Ko-Rado Theorems: Algebraic Approaches (Cambridge Studies in Advanced Mathematics, Series Number 149)
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Hardback. Condition: New. Illustrated. 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
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