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[null,"1.","Record Nr.",null,"UNINA9910788852503321"]
[null,null,"Autore",null,"Friedman Joel <1962->"]
[null,null,"Titolo",null,"A proof of Alon's second eigenvalue conjecture and related problems / / Joel Friedman"]
[null,null,"Pubbl/distr/stampa",null,"Providence, Rhode Island : , : American Mathematical Society, , [2008]"]
[{"$nulls":4},"©2008"]
[null,null,"ISBN",null,"1-4704-0516-4"]
[null,null,"Descrizione fisica",null,"1 online resource (114 p.)"]
[null,null,"Collana",null,"Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 910"]
[null,null,"Disciplina",null,"512.9/436"]
[null,null,"Soggetti",null,"Eigenvalues"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","\"Volume 195, number 910 (first of 4 numbers).\""]
[{"$nulls":4},"\"September 2008.\""]
[null,null,null,"Nota di bibliografia","Includes bibliographical references (pages 99-100)."]
[null,null,"Nota di contenuto",null,"\"\"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. Î»[sub(1)] of a VLG\"\"; \"\"4. Shannon's Algorithm and Formal Series\"\"; \"\"5. Limiting Graphs\"\"; \"\"6. Irreducible Eigenvalues\"\"; \"\"7. Î»[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\"\""]
[{"$nulls":4},"\"\"3. Forms, Types, and New Types\"\"\"\"4. Motivation of Types and New Types\"\"; \"\"Chapter 6. The Selective Trace\"\"; \"\"1. The General Selective Trace\"\"; \"\"2. A Lemma on Selective Walks\"\"; \"\"3. Determining Ï?[sub(fund)] for G[sub(n,d)]\"\"; \"\"4. Determining Ï?[sub(fund)] for H[sub(n,d)], I[sub(n,d)], and J[sub(n,d)]\"\"; \"\"Chapter 7. Ramanujan Functions\"\"; \"\"Chapter 8. An Expansion for Some Selective Traces\"\"; \"\"Chapter 9. Selective Traces In Graphs With (Without) Tangles\"\"; \"\"Chapter 10. Strongly Irreducible Traces\"\"; \"\"Chapter 11. A Sidestepping Lemma\"\"; \"\"Chapter 12. Magnification Theorems\"\""]
[{"$nulls":4},"\"\"Chapter 13. Finishing the G[sub(n,d)] Proof\"\"\"\"Chapter 14. Finishing the Proofs of the Main Theorems\"\"; \"\"Chapter 15. Closing Remarks\"\"; \"\"Glossary\"\"; \"\"Bibliography\"\""]