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The Structure of Complex Networks

The Structure of Complex Networks
Author: Ernesto Estrada
Publisher: Oxford University Press
Total Pages: 478
Release: 2012
Genre: Computers
ISBN: 019959175X

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The book integrates approaches from mathematics, physics and computer sciences to analyse the organisation of complex networks. Every organisational principle of networks is defined, quantified and then analysed for its influences on the properties and functions of molecular, biological, ecological and social networks.


Structural Analysis of Complex Networks

Structural Analysis of Complex Networks
Author: Matthias Dehmer
Publisher: Springer Science & Business Media
Total Pages: 493
Release: 2010-10-14
Genre: Mathematics
ISBN: 0817647899

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Filling a gap in literature, this self-contained book presents theoretical and application-oriented results that allow for a structural exploration of complex networks. The work focuses not only on classical graph-theoretic methods, but also demonstrates the usefulness of structural graph theory as a tool for solving interdisciplinary problems. Applications to biology, chemistry, linguistics, and data analysis are emphasized. The book is suitable for a broad, interdisciplinary readership of researchers, practitioners, and graduate students in discrete mathematics, statistics, computer science, machine learning, artificial intelligence, computational and systems biology, cognitive science, computational linguistics, and mathematical chemistry. It may also be used as a supplementary textbook in graduate-level seminars on structural graph analysis, complex networks, or network-based machine learning methods.


Higher Order Networks: An Introduction to Simplicial Complexes

Higher Order Networks: An Introduction to Simplicial Complexes
Author: Ginestra Bianconi
Publisher: Cambridge University Press
Total Pages: 149
Release: 2021-12-23
Genre: Mathematics
ISBN: 1108726739

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This Element presents one of the most recent developments in network science in a highly accessible style. This Element will be of interest to interdisciplinary scientists working in network science, in addition to mathematicians working in discrete topology and geometry and physicists working in quantum gravity.


Complex Networks

Complex Networks
Author: Reuven Cohen
Publisher: Cambridge University Press
Total Pages: 248
Release: 2010-07-08
Genre: Science
ISBN: 9780521841566

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Examining important results and analytical techniques, this graduate-level textbook is a step-by-step presentation of the structure and function of complex networks. Using a range of examples, from the stability of the internet to efficient methods of immunizing populations, and from epidemic spreading to how one might efficiently search for individuals, this textbook explains the theoretical methods that can be used, and the experimental and analytical results obtained in the study and research of complex networks. Giving detailed derivations of many results in complex networks theory, this is an ideal text to be used by graduate students entering the field. End-of-chapter review questions help students monitor their own understanding of the materials presented.


Complex Networks

Complex Networks
Author: Vito Latora
Publisher: Cambridge University Press
Total Pages: 585
Release: 2017-09-28
Genre: Computers
ISBN: 1107103185

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A comprehensive introduction to the theory and applications of complex network science, complete with real-world data sets and software tools.


Complex Systems and Networks

Complex Systems and Networks
Author: Jinhu Lü
Publisher: Springer
Total Pages: 482
Release: 2015-08-14
Genre: Technology & Engineering
ISBN: 3662478242

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This elementary book provides some state-of-the-art research results on broad disciplinary sciences on complex networks. It presents an in-depth study with detailed description of dynamics, controls and applications of complex networks. The contents of this book can be summarized as follows. First, the dynamics of complex networks, for example, the cluster dynamic analysis by using kernel spectral methods, community detection algorithms in bipartite networks, epidemiological modeling with demographics and epidemic spreading on multi-layer networks, are studied. Second, the controls of complex networks are investigated including topics like distributed finite-time cooperative control of multi-agent systems by applying homogenous-degree and Lyapunov methods, composite finite-time containment control for disturbed second-order multi-agent systems, fractional-order observer design of multi-agent systems, chaos control and anticontrol of complex systems via Parrondos game and many more. Third, the applications of complex networks provide some applicable carriers, which show the importance of theories developed in complex networks. In particular, a general model for studying time evolution of transition networks, deflection routing in complex networks, recommender systems for social networks analysis and mining, strategy selection in networked evolutionary games, integration and methods in computational biology, are discussed in detail.


Modularity and Dynamics on Complex Networks

Modularity and Dynamics on Complex Networks
Author: Renaud Lambiotte
Publisher: Cambridge University Press
Total Pages: 102
Release: 2022-02-03
Genre: Science
ISBN: 1108808654

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Complex networks are typically not homogeneous, as they tend to display an array of structures at different scales. A feature that has attracted a lot of research is their modular organisation, i.e., networks may often be considered as being composed of certain building blocks, or modules. In this Element, the authors discuss a number of ways in which this idea of modularity can be conceptualised, focusing specifically on the interplay between modular network structure and dynamics taking place on a network. They discuss, in particular, how modular structure and symmetries may impact on network dynamics and, vice versa, how observations of such dynamics may be used to infer the modular structure. They also revisit several other notions of modularity that have been proposed for complex networks and show how these can be related to and interpreted from the point of view of dynamical processes on networks.


Statistical Mechanics of Complex Networks

Statistical Mechanics of Complex Networks
Author: Romualdo Pastor-Satorras
Publisher: Springer Science & Business Media
Total Pages: 232
Release: 2003-08-08
Genre: Science
ISBN: 9783540403722

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Networks can provide a useful model and graphic image useful for the description of a wide variety of web-like structures in the physical and man-made realms, e.g. protein networks, food webs and the Internet. The contributions gathered in the present volume provide both an introduction to, and an overview of, the multifaceted phenomenology of complex networks. Statistical Mechanics of Complex Networks also provides a state-of-the-art picture of current theoretical methods and approaches.


Dynamics On and Of Complex Networks

Dynamics On and Of Complex Networks
Author: Niloy Ganguly
Publisher: Springer Science & Business Media
Total Pages: 310
Release: 2009-04-14
Genre: Computers
ISBN: 0817647503

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This self-contained book systematically explores the statistical dynamics on and of complex networks having relevance across a large number of scientific disciplines. The theories related to complex networks are increasingly being used by researchers for their usefulness in harnessing the most difficult problems of a particular discipline. The book is a collection of surveys and cutting-edge research contributions exploring the interdisciplinary relationship of dynamics on and of complex networks. Topics covered include complex networks found in nature—genetic pathways, ecological networks, linguistic systems, and social systems—as well as man-made systems such as the World Wide Web and peer-to-peer networks. The contributed chapters in this volume are intended to promote cross-fertilization in several research areas, and will be valuable to newcomers in the field, experienced researchers, practitioners, and graduate students interested in systems exhibiting an underlying complex network structure in disciplines such as computer science, biology, statistical physics, nonlinear dynamics, linguistics, and the social sciences.