A proof of Alon's second eigenvalue conjecture and related problems / / Joel Friedman
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| Autore: |
Friedman Joel <1962->
|
| Titolo: |
A proof of Alon's second eigenvalue conjecture and related problems / / Joel Friedman
|
| Pubblicazione: | Providence, Rhode Island : , : American Mathematical Society, , [2008] |
| ©2008 | |
| Descrizione fisica: | 1 online resource (114 p.) |
| Disciplina: | 512.9/436 |
| Soggetto topico: | Eigenvalues |
| Note generali: | "Volume 195, number 910 (first of 4 numbers)." |
| "September 2008." | |
| Nota di bibliografia: | Includes bibliographical references (pages 99-100). |
| Nota di contenuto: | ""Contents""; ""Chapter 1. Introduction""; ""Chapter 2. Problems with the Standard Trace Method""; ""1. The Trace Method""; ""2. Limitations of the Trace Expansion""; ""Chapter 3. Background and Terminology""; ""1. Graph Terminology""; ""2. Variable-Length Graphs and Subdivisions""; ""3. λ[sub(1)] of a VLG""; ""4. Shannon's Algorithm and Formal Series""; ""5. Limiting Graphs""; ""6. Irreducible Eigenvalues""; ""7. λ[sub(1)] and Closed Walks for Infinite Graphs""; ""8. A Curious Theorem""; ""Chapter 4. Tangles""; ""Chapter 5. Walk Sums and New Types""; ""1. Walk sums""; ""2. The Loop"" |
| ""3. Forms, Types, and New Types""""4. Motivation of Types and New Types""; ""Chapter 6. The Selective Trace""; ""1. The General Selective Trace""; ""2. A Lemma on Selective Walks""; ""3. Determining Ï?[sub(fund)] for G[sub(n,d)]""; ""4. Determining Ï?[sub(fund)] for H[sub(n,d)], I[sub(n,d)], and J[sub(n,d)]""; ""Chapter 7. Ramanujan Functions""; ""Chapter 8. An Expansion for Some Selective Traces""; ""Chapter 9. Selective Traces In Graphs With (Without) Tangles""; ""Chapter 10. Strongly Irreducible Traces""; ""Chapter 11. A Sidestepping Lemma""; ""Chapter 12. Magnification Theorems"" | |
| ""Chapter 13. Finishing the G[sub(n,d)] Proof""""Chapter 14. Finishing the Proofs of the Main Theorems""; ""Chapter 15. Closing Remarks""; ""Glossary""; ""Bibliography"" | |
| Titolo autorizzato: | A proof of Alon's second eigenvalue conjecture and related problems |
| ISBN: | 1-4704-0516-4 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910788852503321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Memoirs of the American Mathematical Society ; ; no. 910.