Description: Erdoskorado Theorems: Algebraic Approaches by Christopher Godsil, Karen Meagher The Erdos–Ko–Rado Theorem is a fundamental result in combinatorics. Aimed at graduate students and researchers, this comprehensive text shows how tools from algebraic graph theory can be applied to prove the EKR Theorem and its generalizations. Readers can test their understanding at every step with the end-of-chapter exercises. FORMAT Hardcover LANGUAGE English CONDITION Brand New Publisher Description 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. Author Biography 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. Table of Contents Preface; 1. The Erdos-Ko-Rado Theorem; 2. Bounds on cocliques; 3. Association schemes; 4. Distance-regular graphs; 5. Strongly regular graphs; 6. The Johnson scheme; 7. Polytopes; 8. The exact bound; 9. The Grassmann scheme; 10. The Hamming scheme; 11. Representation theory; 12. Representations of symmetric group; 13. Orbitals; 14. Permutations; 15. Partitions; 16. Open problems; Glossary of symbols; Glossary of operations and relations; References; Index. Review This is an excellent book about Erdos-Ko-Rado (EKR) Theorems and how to prove them by algebraic methods ... The writing style is reader-friendly, and proofs are well organized and easily followed. Also, every chapter contains Exercises and Notes, which are very useful for expanding understanding and finding further reading. The reviewer recommends this book without hesitation to all graduate students and researchers interested in combinatorics. Norihide Tokushige, MathSciNet This is an excellent book about Erdos-Ko-Rado (EKR) Theorems and how to prove them by algebraic methods ... The writing style is reader-friendly, and proofs are well organized and easily followed. Also, every chapter contains Exercises and Notes, which are very useful for expanding understanding and finding further reading. The reviewer recommends this book without hesitation to all graduate students and researchers interested in combinatorics. Norihide Tokushige, MathSciNet Review Quote This is an excellent book about Erdos-Ko-Rado (EKR) Theorems and how to prove them by algebraic methods ... The writing style is reader-friendly, and proofs are well organized and easily followed. Also, every chapter contains Exercises and Notes, which are very useful for expanding understanding and finding further reading. The reviewer recommends this book without hesitation to all graduate students and researchers interested in combinatorics. Norihide Tokushige, MathSciNet Promotional "Headline" Graduate text focusing on algebraic methods that can be applied to prove the Erdos-Ko-Rado Theorem and its generalizations. Description for Bookstore The Erdos-Ko-Rado Theorem is a fundamental result in combinatorics. Aimed at graduate students and researchers, this comprehensive text shows how tools from algebraic graph theory can be applied to prove the EKR Theorem and its generalizations. Readers can test their understanding at every step with the end-of-chapter exercises. Description for Library The Erdos-Ko-Rado Theorem is a fundamental result in combinatorics. Aimed at graduate students and researchers, this comprehensive text shows how tools from algebraic graph theory can be applied to prove the EKR Theorem and its generalizations. Readers can test their understanding at every step with the end-of-chapter exercises. Details ISBN1107128447 Author Karen Meagher Publisher Cambridge University Press Series Cambridge Studies In Advanced Mathematics ISBN-10 1107128447 ISBN-13 9781107128446 Format Hardcover Language English Media Book Series Number 149 Year 2015 Imprint Cambridge University Press Place of Publication Cambridge Country of Publication United Kingdom DEWEY 512 Short Title ERDOS KO RADO THEOREMS ALGEBRA Pages 350 Publication Date 2015-11-24 Affiliation University of Regina, Saskatchewan, Canada Illustrations Worked examples or Exercises; 5 Line drawings, unspecified Subtitle Algebraic Approaches Audience Professional and Scholarly UK Release Date 2015-11-24 AU Release Date 2015-11-24 NZ Release Date 2015-11-24 We've got this At The Nile, if you're looking for it, we've got it. With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! TheNile_Item_ID:168634296;
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ISBN-13: 9781107128446
Book Title: Erdoskorado Theorems: Algebraic Approaches
Number of Pages: 350 Pages
Language: English
Publication Name: Erdos-Ko-Rado Theorems: Algebraic Approaches
Publisher: Cambridge University Press
Publication Year: 2015
Subject: Mathematics
Item Height: 235 mm
Item Weight: 620 g
Type: Textbook
Author: Karen Meagher, Christopher Godsil
Item Width: 158 mm
Format: Hardcover
