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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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