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A proof of Alon's second eigenvalue conjecture and related problems / [electronic resource] Joel Friedman.

By: Material type: TextTextSeries: Memoirs of the American Mathematical Society ; v. 910Publication details: Providence, R.I. : American Mathematical Society, c2008.Description: 1 online resource (vii, 100 p.)ISBN:
  • 9781470405168 (online)
Subject(s): Additional physical formats: proof of Alon's second eigenvalue conjecture and related problems /DDC classification:
  • 512.9/436 22
LOC classification:
  • QA193 .F75 2008
Online resources:
Contents:
1. Introduction 2. Problems with the standard trace method 3. Background and terminology 4. Tangles 5. Walk sums and new types 6. The selective trace 7. Ramanujan functions 8. An expansion for some selective traces 9. Selective traces in graphs with (without) tangles 10. Strongly irreducible traces 11. A sidestepping lemma 12. Magnification theorems 13. Finishing the $\mathcal {G}_{n,d}$ proof 14. Finishing the proofs of the main theorems 15. Closing remarks
Item type: E-BOOKS
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IMSc Library Link to resource Available EBK13363

"Volume 195, number 910 (first of 4 numbers)."

"September 2008."

Includes bibliographical references (p. 99-100).

1. Introduction 2. Problems with the standard trace method 3. Background and terminology 4. Tangles 5. Walk sums and new types 6. The selective trace 7. Ramanujan functions 8. An expansion for some selective traces 9. Selective traces in graphs with (without) tangles 10. Strongly irreducible traces 11. A sidestepping lemma 12. Magnification theorems 13. Finishing the $\mathcal {G}_{n,d}$ proof 14. Finishing the proofs of the main theorems 15. Closing remarks

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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

Mode of access : World Wide Web

Description based on print version record.

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The Institute of Mathematical Sciences, Chennai, India