Piet Van Mieghem (The Netherlands Technische Universiteit Delft)

Graph Spectra for Complex Networks

• Broschiertes Buch

Produktbeschreibung

This concise and self-contained introduction builds up the spectral theory of graphs from scratch, including linear algebra and the theory of polynomials. Covering several types of graphs, it provides the mathematical foundation needed to understand and apply spectral insight to real-world communications systems and complex networks.

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Produktdetails

• Verlag: Cambridge University Press
• 2 Revised edition
• Seitenzahl: 535
• Erscheinungstermin: 21. September 2023
• Englisch
• Abmessung: 244mm x 170mm x 27mm
• Gewicht: 930g
• ISBN-13: 9781009366809
• ISBN-10: 1009366807
• Artikelnr.: 68464336

Autorenporträt

Piet Van Mieghem is Professor at the Delft University of Technology. His research interests lie in network science: the modeling and analysis of complex networks such as infrastructural networks (for example telecommunication, power grids and transportation) as well as biological, brain, social and economic networks.

Inhaltsangabe

Symbols
1. Introduction
Part I. Spectra of Graphs: 2. Algebraic graph theory
3. Eigenvalues of the adjacency matrix
4. Eigenvalues of the Laplacian Q
5. Effective resistance matrix
6. Spectra of special types of graphs
7. Density function of the eigenvalues
8. Spectra of complex networks
Part II. Eigensystem: 9. Topics in linear algebra
10. Eigensystem of a matrix
Part III. Polynomials: 11. Polynomials with real coefficients
12. Orthogonal polynomials
References
Index.