Synopsis
Spectral properties of the adjacency, Laplacian and effective resistance matrices of graphs are derived and applied to complex networks.
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About the Author
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.
"About this title" may belong to another edition of this title.
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Graph Spectra for Complex Networks
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Cambridge University Press, 2023
ISBN 10: 1009366807
ISBN 13: 9781009366809
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Graph Spectra for Complex Networks (Paperback)
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Cambridge University Press, Cambridge, 2023
ISBN 10: 1009366807
ISBN 13: 9781009366809
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Paperback. Condition: new. Paperback. This concise and self-contained introduction builds up the spectral theory of graphs from scratch, with linear algebra and the theory of polynomials developed in the later parts. The book focuses on properties and bounds for the eigenvalues of the adjacency, Laplacian and effective resistance matrices of a graph. The goal of the book is to collect spectral properties that may help to understand the behavior or main characteristics of real-world networks. The chapter on spectra of complex networks illustrates how the theory may be applied to deduce insights into real-world networks. The second edition contains new chapters on topics in linear algebra and on the effective resistance matrix, and treats the pseudoinverse of the Laplacian. The latter two matrices and the Laplacian describe linear processes, such as the flow of current, on a graph. The concepts of spectral sparsification and graph neural networks are included. 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. This item is printed on demand. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9781009366809
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Graph Spectra for Complex Networks
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Graph Spectra for Complex Networks
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Graph Spectra for Complex Networks
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Graph Spectra for Complex Networks
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Paperback. Condition: New. This concise and self-contained introduction builds up the spectral theory of graphs from scratch, with linear algebra and the theory of polynomials developed in the later parts. The book focuses on properties and bounds for the eigenvalues of the adjacency, Laplacian and effective resistance matrices of a graph. The goal of the book is to collect spectral properties that may help to understand the behavior or main characteristics of real-world networks. The chapter on spectra of complex networks illustrates how the theory may be applied to deduce insights into real-world networks. The second edition contains new chapters on topics in linear algebra and on the effective resistance matrix, and treats the pseudoinverse of the Laplacian. The latter two matrices and the Laplacian describe linear processes, such as the flow of current, on a graph. The concepts of spectral sparsification and graph neural networks are included. Seller Inventory # LU-9781009366809
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Graph Spectra for Complex Networks
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