Erdos-Ko-Rado Theorems: Algebraic Approaches di Christopher (University of Waterloo Godsil, Karen (University of Regina Meagher edito da Cambridge University Press
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Erdos-Ko-Rado Theorems: Algebraic Approaches

Algebraic Approaches

EAN:

9781107128446

ISBN:

1107128447

Pagine:
350
Formato:
Hardback
Lingua:
Inglese
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Descrizione Erdos-Ko-Rado Theorems: Algebraic Approaches

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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