Erdõs–Ko–Rado Theorems: Algebraic Approaches
eBook - PDF

Erdõs–Ko–Rado Theorems: Algebraic Approaches

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF

Erdõs–Ko–Rado Theorems: Algebraic Approaches

About this book

Aimed at graduate students and researchers, this fascinating text provides a comprehensive study of the Erd?s–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.

Frequently asked questions

Yes, you can cancel anytime from the Subscription tab in your account settings on the Perlego website. Your subscription will stay active until the end of your current billing period. Learn how to cancel your subscription.
No, books cannot be downloaded as external files, such as PDFs, for use outside of Perlego. However, you can download books within the Perlego app for offline reading on mobile or tablet. Learn more here.
Perlego offers two plans: Essential and Complete
  • Essential is ideal for learners and professionals who enjoy exploring a wide range of subjects. Access the Essential Library with 800,000+ trusted titles and best-sellers across business, personal growth, and the humanities. Includes unlimited reading time and Standard Read Aloud voice.
  • Complete: Perfect for advanced learners and researchers needing full, unrestricted access. Unlock 1.4M+ books across hundreds of subjects, including academic and specialized titles. The Complete Plan also includes advanced features like Premium Read Aloud and Research Assistant.
Both plans are available with monthly, semester, or annual billing cycles.
We are an online textbook subscription service, where you can get access to an entire online library for less than the price of a single book per month. With over 1 million books across 1000+ topics, we’ve got you covered! Learn more here.
Look out for the read-aloud symbol on your next book to see if you can listen to it. The read-aloud tool reads text aloud for you, highlighting the text as it is being read. You can pause it, speed it up and slow it down. Learn more here.
Yes! You can use the Perlego app on both iOS or Android devices to read anytime, anywhere — even offline. Perfect for commutes or when you’re on the go.
Please note we cannot support devices running on iOS 13 and Android 7 or earlier. Learn more about using the app.
Yes, you can access Erdõs–Ko–Rado Theorems: Algebraic Approaches by Christopher Godsil,Karen Meagher in PDF and/or ePUB format, as well as other popular books in Mathematics & Discrete Mathematics. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Cover
  2. Half title
  3. Series
  4. Title
  5. Copyright
  6. Dedication
  7. Contents
  8. Preface
  9. 1 The Erdős–Ko–Rado Theorem
  10. 2 Bounds on cocliques
  11. 3 Association schemes
  12. 4 Distance-regular graphs
  13. 5 Strongly regular graphs
  14. 6 The Johnson scheme
  15. 7 Polytopes
  16. 8 The exact bound in the EKR Theorem
  17. 9 The Grassmann scheme
  18. 10 The Hamming scheme
  19. 11 Representation theory
  20. 12 Representation theory of the symmetric group
  21. 13 Orbitals
  22. 14 Permutations
  23. 15 Partitions
  24. 16 Open problems
  25. Glossary: Symbols
  26. Glossary: Operations and relations
  27. References
  28. Index