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Spectra of discrete structures / Jürgen Jost, Raffaella Mulas, Dong Zhang.
- Format:
- Book
- Author/Creator:
- Jost, Jürgen, 1956- Author.
- Mulas, Raffaella, 1992- author.
- Zhang, Dong (Of Beijing da xue), author.
- Language:
- English
- Subjects (All):
- Discrete mathematics.
- Spectral theory (Mathematics).
- Edition:
- 1st ed.
- Place of Publication:
- Cambridge University Press, 2026.
- Summary:
- "Spectral theory is a dynamic research field. This book develops the general theory of spectra of discrete structures, for graphs, hypergraphs and simplicial complexes. Establishing mathematical foundations and applications, it is relevant to graduate students and researchers working on spectral theory of operators on discrete structures. This title is also available as open access on Cambridge Core"-- Provided by publisher.
- Contents:
- The abstract setting
- The classical case
- First properties of the spectrum
- Floer theory
- Lovász extensions
- Discrete p-Laplacians
- Cheeger inequalities
- Nodal domains
- Interlacing and spectral classes
- Spectral theory of hypergraphs via tensors
- The non-backtracking Laplacian
- Applications.
- ISBN:
- 1-009-64182-4
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