The Nature of Complex Networks
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Product details:
- Publisher OUP Oxford
- Date of Publication 13 February 2025
- ISBN 9780198959632
- Binding Paperback
- No. of pages480 pages
- Size 245x171x24 mm
- Weight 818 g
- Language English
- Illustrations 172 line drawings and halftones 579
Categories
Short description:
The Nature of Complex Networks provides a systematic account of the statistical mechanics of complex networks and the different theoretical achievements in the field that are now finding strands in common.
MoreLong description:
The Nature of Complex Networks provides a systematic introduction to the statistical mechanics of complex networks and the different theoretical achievements in the field that are now finding strands in common.
The book presents a wide range of networks and the processes taking place on them, including recently developed directions, methods, and techniques. It assumes a statistical mechanics view of random networks based on the concept of statistical ensembles but also features the approaches and methods of modern random graph theory and their overlaps with statistical physics.
This book will appeal to graduate students and researchers in the fields of statistical physics, complex systems, graph theory, applied mathematics, and theoretical epidemiology.
The current volume by Dorogovtsev and Mendes takes quite a broad view of complex networks to include the analysis of finite and infinite graphs, directed and undirected graphs, multigraphs, hypergraphs, and even simplicial complexes, as networks scale according to increasing N or in some other fashion. The writing style is that of physics and especially statistical mechanics with frequent connections made to physical concepts such as Bose-Einstein condensation...The current volume can especially serve as a useful reference on complex networks from a physics perspective.
Table of Contents:
Preface
First insight
Graphs
Classical random graphs
Equilibrium networks
Evolving networks
Connected components
Epidemics and spreading phenomena
Networks of networks
Spectra and communities
Walks and search
Temporal networks
Cooperative systems on networks
Inference and reconstruction
What's next?
Further Reading
Appendices A-G
References
