Erdos-Ko-Rado Theorems: Algebraic Approaches

Name: Erdos-Ko-Rado Theorems: Algebraic Approaches
Brand: Cambridge University Press
SKU: 9781107128446
Price: 503.46 RON
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Autor: Christopher Godsil, Karen Meagher

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Editura: Cambridge University Press

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Aimed at graduate students and researchers, this fascinating text provides a comprehensive study of...

Informații despre carte

Autor

Christopher Godsil, Karen Meagher

Limbă

engleză

Legare

Carte - Copertă tare

Publicat

2015

Pagini

350

EAN

9781107128446

ISBN

1107128447

Enbook ID

09362597

Editura

Cambridge University Press

Greutate

606

Dimensiuni

236 x 161 x 23

Descriere completă

Aimed at graduate students and researchers, this fascinating text provides a comprehensive study of the Erdős–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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