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Record Nr. |
UNINA9910788852503321 |
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Autore |
Friedman Joel <1962-> |
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Titolo |
A proof of Alon's second eigenvalue conjecture and related problems / / Joel Friedman |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , [2008] |
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©2008 |
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ISBN |
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Descrizione fisica |
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1 online resource (114 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 910 |
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Disciplina |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"Volume 195, number 910 (first of 4 numbers)." |
"September 2008." |
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Nota di bibliografia |
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Includes bibliographical references (pages 99-100). |
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Nota di contenuto |
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""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"" |
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