Spectres de graphes / Yves Colin de Verdière
Type de document : MonographieCollection : Cours spécialisés, 4Langue : français.Pays: France.Éditeur : Paris : Société Mathématique de France, 1998Description : 1 vol. (VI-114 p.) : fig. ; 24 cmISBN: 9782856290682.ISSN: 1284-6090.Bibliographie : Bibliogr. p. [107]-111. Index.Sujet MSC : 05C50, Combinatorics - Graph theory, Graphs and linear algebra (matrices, eigenvalues, etc.)05C15, Combinatorics - Graph theory, Coloring of graphs and hypergraphs
05-02, Research exposition (monographs, survey articles) pertaining to combinatorics
35J10, PDEs - Elliptic equations and elliptic systems, Schrödinger operator, Schrödinger equation
58J50, Global analysis, analysis on manifolds - PDEs on manifolds; differential operators, Spectral problems; spectral geometry; scattering theoryEn-ligne : Résumé Item type:
Monographie
| Current library | Call number | Status | Date due | Barcode |
|---|---|---|---|---|
| CMI Couloir | Séries COSP (Browse shelf(Opens below)) | Available | 11969-01 |
Besides a preface, an introduction, a bibliography with 76 references and a condensed subject index, the book contains the following chapters: 1. Definitions and examples, 2. Spectra, 3. Spectral gap of graphs and their expanding properties, 4. Singular limits and gamma convergence, 5. Eigenvalue multiplicities and related invariants, 6. Discrete and continual, 7. Electrical networks. The aim of the book is to develop for finite graphs some analogues of the spectral theory of Schrödinger operators on compact manifolds. The book includes canonical Laplacians on graphs, Cheeger's inequalities, Markov processes, finite element methods and many other interesting topics. (Zentralblatt)
Bibliogr. p. [107]-111. Index
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