Complex Networks in Interdisciplinary Research: From Theory to Applications

Complex Networks in Interdisciplinary Research: From Theory to Applications PDF Author: Xiyun Zhang
Publisher: Frontiers Media SA
ISBN: 2832541410
Category : Science
Languages : en
Pages : 140

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Book Description

Complex Networks in Interdisciplinary Research: From Theory to Applications

Complex Networks in Interdisciplinary Research: From Theory to Applications PDF Author: Xiyun Zhang
Publisher: Frontiers Media SA
ISBN: 2832541410
Category : Science
Languages : en
Pages : 140

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Book Description


Dynamical Processes on Complex Networks

Dynamical Processes on Complex Networks PDF Author: Alain Barrat
Publisher: Cambridge University Press
ISBN: 9781107626256
Category : Science
Languages : en
Pages : 361

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Book Description
The availability of large data sets have allowed researchers to uncover complex properties such as large scale fluctuations and heterogeneities in many networks which have lead to the breakdown of standard theoretical frameworks and models. Until recently these systems were considered as haphazard sets of points and connections. Recent advances have generated a vigorous research effort in understanding the effect of complex connectivity patterns on dynamical phenomena. For example, a vast number of everyday systems, from the brain to ecosystems, power grids and the Internet, can be represented as large complex networks. This new and recent account presents a comprehensive explanation of these effects.

Complex Networks

Complex Networks PDF Author: Vito Latora
Publisher: Cambridge University Press
ISBN: 1108298680
Category : Science
Languages : en
Pages : 585

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Book Description
Networks constitute the backbone of complex systems, from the human brain to computer communications, transport infrastructures to online social systems and metabolic reactions to financial markets. Characterising their structure improves our understanding of the physical, biological, economic and social phenomena that shape our world. Rigorous and thorough, this textbook presents a detailed overview of the new theory and methods of network science. Covering algorithms for graph exploration, node ranking and network generation, among others, the book allows students to experiment with network models and real-world data sets, providing them with a deep understanding of the basics of network theory and its practical applications. Systems of growing complexity are examined in detail, challenging students to increase their level of skill. An engaging presentation of the important principles of network science makes this the perfect reference for researchers and undergraduate and graduate students in physics, mathematics, engineering, biology, neuroscience and the social sciences.

Structural Analysis of Complex Networks

Structural Analysis of Complex Networks PDF Author: Matthias Dehmer
Publisher: Springer Science & Business Media
ISBN: 0817647899
Category : Mathematics
Languages : en
Pages : 493

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Book Description
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.

Synchronization in Complex Networks of Nonlinear Dynamical Systems

Synchronization in Complex Networks of Nonlinear Dynamical Systems PDF Author: Chai Wah Wu
Publisher: World Scientific
ISBN: 9812709746
Category : Mathematics
Languages : en
Pages : 168

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Book Description
This book brings together two emerging research areas: synchronization in coupled nonlinear systems and complex networks, and study conditions under which a complex network of dynamical systems synchronizes. While there are many texts that study synchronization in chaotic systems or properties of complex networks, there are few texts that consider the intersection of these two very active and interdisciplinary research areas. The main theme of this book is that synchronization conditions can be related to graph theoretical properties of the underlying coupling topology. The book introduces ideas from systems theory, linear algebra and graph theory and the synergy between them that are necessary to derive synchronization conditions. Many of the results, which have been obtained fairly recently and have until now not appeared in textbook form, are presented with complete proofs. This text is suitable for graduate-level study or for researchers who would like to be better acquainted with the latest research in this area. Sample Chapter(s). Chapter 1: Introduction (76 KB). Contents: Graphs, Networks, Laplacian Matrices and Algebraic Connectivity; Graph Models; Synchronization in Networks of Nonlinear Continuous-Time Dynamical Systems; Synchronization in Networks of Coupled Discrete-Time Systems; Synchronization in Network of Systems with Linear Dynamics; Agreement and Consensus Problems in Groups of Interacting Agents. Readership: Graduate students and researchers in physics, applied mathematics and engineering.

The Structure of Complex Networks

The Structure of Complex Networks PDF Author: Ernesto Estrada
Publisher: Oxford University Press
ISBN: 019959175X
Category : Computers
Languages : en
Pages : 478

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Book Description
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.

Complex Networks and their Applications

Complex Networks and their Applications PDF Author: Hocine Cherifi
Publisher: Cambridge Scholars Publishing
ISBN: 1443863246
Category : Mathematics
Languages : en
Pages : 355

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Book Description
Fuelled by the big data paradigm, the study of networks is an interdisciplinary field that is growing at the interface of many branches of science including mathematics, physics, computer science, biology, economics and the social sciences. This book, written by experts from the Network Science community, covers a wide range of theoretical and practical advances in this highly active field, highlighting the strong interconnections between works in different disciplines. The eleven chapters take the reader through the essential concepts for the structural analysis of networks, and their applications to real-world scenarios. Being self-contained, the book is intended for researchers, graduate and advanced undergraduate students from different intellectual backgrounds. Each chapter combines mathematical rigour with rich references to the literature, while remaining accessible to a wide range of readers who wish to understand some of the key issues encountered in many aspects of networked everyday life.

Air Route Networks Through Complex Networks Theory

Air Route Networks Through Complex Networks Theory PDF Author: Jose M. Sallan
Publisher: Elsevier
ISBN: 0128126663
Category : Social Science
Languages : en
Pages : 254

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Book Description
Air Route Networks through Complex Networks Theory connects theory research with network connectivity analysis, providing practitioners with the tools they need to develop more efficient, resilient and profitable air route networks. The book helps airline route planners and executives create more robust route networks that are less vulnerable to disruptions, such as node isolation. The book further explores errors and attacks in complex networks, strategies for detecting critical nodes and cascading failure models to assess and maximize robustness. The book explains how to measure air route network connectivity with complex network representations. Air transport is among the most dynamic and toughest competition industries in today's global economy. The quality of air route network design is a key strategic factor in an airline's viability. These robust networks provide for more stable and secure carrier operations vs. those based simply on existing supply and demand volumes. Node-specific and network-specific representations are covered, along with in-depth coverage of connectivity in special and temporal networks. These collective tools serve as a guide for practitioners seeking to apply complex network theory to the airline industry. - Presents complex networks theory research results applied to airline transportation networks - Examines airline network robustness in the face of disruptions, providing strategies for detecting critical nodes of air transport networks - Provides historical perspective on the economic, political, technical, and geographical constraints that influence airline route portfolios - Connects data from valuable tools, such as navpoints, area control centers (ACC), and flight information centers, with air network modeling - Studies spreading-related phenomena, such as rumors, and disease contagions, and how these affect the airline industry

Complex Networks & Their Applications XII

Complex Networks & Their Applications XII PDF Author: Hocine Cherifi
Publisher: Springer Nature
ISBN: 3031534999
Category :
Languages : en
Pages : 523

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Book Description


A First Course in Network Theory

A First Course in Network Theory PDF Author: Ernesto Estrada
Publisher: Oxford University Press, USA
ISBN: 0198726457
Category : Science
Languages : en
Pages : 269

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Book Description
The study of network theory is a highly interdisciplinary field, which has emerged as a major topic of interest in various disciplines ranging from physics and mathematics, to biology and sociology. This book promotes the diverse nature of the study of complex networks by balancing the needs of students from very different backgrounds. It references the most commonly used concepts in network theory, provides examples of their applications in solving practical problems, and clear indications on how to analyse their results. In the first part of the book, students and researchers will discover the quantitative and analytical tools necessary to work with complex networks, including the most basic concepts in network and graph theory, linear and matrix algebra, as well as the physical concepts most frequently used for studying networks. They will also find instruction on some key skills such as how to proof analytic results and how to manipulate empirical network data. The bulk of the text is focused on instructing readers on the most useful tools for modern practitioners of network theory. These include degree distributions, random networks, network fragments, centrality measures, clusters and communities, communicability, and local and global properties of networks. The combination of theory, example and method that are presented in this text, should ready the student to conduct their own analysis of networks with confidence and allow teachers to select appropriate examples and problems to teach this subject in the classroom.