Graph Spectra for Complex Networks van Piet Van Mieghem is een Engelstalig gedrukt boek. Deze titel is geschikt voor studenten in het hoger onderwijs.
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.
Spectral properties of the adjacency, Laplacian and effective resistance matrices of graphs are derived and applied to complex networks.
Inhoudelijk sluit dit boek aan bij onderwerpen als Combinatorics and graph theory, Computer networking and communications, MATHEMATICS / Combinatorics.