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.

Series:

Cambridge studies in advanced mathematics ; 221.

Cambridge studies in advanced mathematics ; 221

Language:

English

Subjects (All):

Discrete mathematics.

Spectral theory (Mathematics).

Physical Description:

369 pages.

Place of Publication:

Cambridge ; New York, NY : 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.

Notes:

Includes bibliographical references and index.

Other Format:

Online version Jost, Jürgen, 1956- Spectra of discrete structures

ebook version :

ISBN:

9781009641845

1009641840

OCLC:

1535238861

Publisher Number:

CIPO000335812