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Graph Spectra for Complex Networks

2010-12-02 Technology & Engineering
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Release : 2010-12-02
Genre : Technology & Engineering
Kind : eBook
Book Rating : 276/5 ( reviews)

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Book Synopsis Graph Spectra for Complex Networks by : Piet van Mieghem

Download or read book Graph Spectra for Complex Networks written by Piet van Mieghem. This book was released on 2010-12-02. Available in PDF, EPUB and Kindle. Book excerpt: Analyzing the behavior of complex networks is an important element in the design of new man-made structures such as communication systems and biologically engineered molecules. Because any complex network can be represented by a graph, and therefore in turn by a matrix, graph theory has become a powerful tool in the investigation of network performance. This self-contained 2010 book provides a concise introduction to the theory of graph spectra and its applications to the study of complex networks. Covering a range of types of graphs and topics important to the analysis of complex systems, this guide provides the mathematical foundation needed to understand and apply spectral insight to real-world systems. In particular, the general properties of both the adjacency and Laplacian spectrum of graphs are derived and applied to complex networks. An ideal resource for researchers and students in communications networking as well as in physics and mathematics.

Graph Spectra for Complex Networks

2023-09-21 Computers
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Release : 2023-09-21
Genre : Computers
Kind : eBook
Book Rating : 785/5 ( reviews)

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Book Synopsis Graph Spectra for Complex Networks by : Piet Van Mieghem

Download or read book Graph Spectra for Complex Networks written by Piet Van Mieghem. This book was released on 2023-09-21. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Complex Graphs and Networks

2006 Computers
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Release : 2006
Genre : Computers
Kind : eBook
Book Rating : 579/5 ( reviews)

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Book Synopsis Complex Graphs and Networks by : Fan R. K. Chung

Download or read book Complex Graphs and Networks written by Fan R. K. Chung. This book was released on 2006. Available in PDF, EPUB and Kindle. Book excerpt: Graph theory is a primary tool for detecting numerous hidden structures in various information networks, including Internet graphs, social networks, biological networks, or any graph representing relations in massive data sets. This book explains the universal and ubiquitous coherence in the structure of these realistic but complex networks.

An Introduction to the Theory of Graph Spectra

2009-10-15 Mathematics
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Release : 2009-10-15
Genre : Mathematics
Kind : eBook
Book Rating : 088/5 ( reviews)

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Book Synopsis An Introduction to the Theory of Graph Spectra by : Dragoš Cvetković

Download or read book An Introduction to the Theory of Graph Spectra written by Dragoš Cvetković. This book was released on 2009-10-15. Available in PDF, EPUB and Kindle. Book excerpt: This introductory text explores the theory of graph spectra: a topic with applications across a wide range of subjects, including computer science, quantum chemistry and electrical engineering. The spectra examined here are those of the adjacency matrix, the Seidel matrix, the Laplacian, the normalized Laplacian and the signless Laplacian of a finite simple graph. The underlying theme of the book is the relation between the eigenvalues and structure of a graph. Designed as an introductory text for graduate students, or anyone using the theory of graph spectra, this self-contained treatment assumes only a little knowledge of graph theory and linear algebra. The authors include many new developments in the field which arise as a result of rapidly expanding interest in the area. Exercises, spectral data and proofs of required results are also provided. The end-of-chapter notes serve as a practical guide to the extensive bibliography of over 500 items.

Spectra of Graphs

2011-12-17 Mathematics
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Release : 2011-12-17
Genre : Mathematics
Kind : eBook
Book Rating : 395/5 ( reviews)

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Book Synopsis Spectra of Graphs by : Andries E. Brouwer

Download or read book Spectra of Graphs written by Andries E. Brouwer. This book was released on 2011-12-17. Available in PDF, EPUB and Kindle. Book excerpt: This book gives an elementary treatment of the basic material about graph spectra, both for ordinary, and Laplace and Seidel spectra. The text progresses systematically, by covering standard topics before presenting some new material on trees, strongly regular graphs, two-graphs, association schemes, p-ranks of configurations and similar topics. Exercises at the end of each chapter provide practice and vary from easy yet interesting applications of the treated theory, to little excursions into related topics. Tables, references at the end of the book, an author and subject index enrich the text. Spectra of Graphs is written for researchers, teachers and graduate students interested in graph spectra. The reader is assumed to be familiar with basic linear algebra and eigenvalues, although some more advanced topics in linear algebra, like the Perron-Frobenius theorem and eigenvalue interlacing are included.

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