Introduction To Complex Network Theory

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Introduction to Complex Network Theory

Niloy Ganguly,Bivas Mitra,Animesh Mukherjee
Introduction to Complex Network Theory Book PDF

Author : Niloy Ganguly,Bivas Mitra,Animesh Mukherjee
Publisher : Birkhäuser
Page : 350 pages
File Size : 51,7 Mb
Release : 2016-01-06
Category : Mathematics
ISBN : 0817648577

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Introduction to Complex Network Theory by Niloy Ganguly,Bivas Mitra,Animesh Mukherjee Pdf

Complex network theory is rapidly becoming recognized as a crucial tool for analyzing various dynamics and phenomena of large-scale networks across a spectrum of diverse disciplines. This textbook is the first to provide a multidisciplinary examination of common problems in systems exhibiting a complex network structure and includes: thorough explanations given both conceptually and mathematically, illustrative examples and exercises included in each chapter, large-scale network visualization software and algorithms, and a comprehensive set of glossaries. The text is intended for use by senior undergraduate and graduate students who are new to the field of complex network theory but is also structured to provide straightforward access to topics of specific interest and may be used as a reference by researchers.

Graph Theory and Complex Networks

Maarten van Steen
Graph Theory and Complex Networks Book PDF

Author : Maarten van Steen
Publisher : Maarten Van Steen
Page : 285 pages
File Size : 49,8 Mb
Release : 2010
Category : Graph theory
ISBN : 9081540610

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Graph Theory and Complex Networks by Maarten van Steen Pdf

This book aims to explain the basics of graph theory that are needed at an introductory level for students in computer or information sciences. To motivate students and to show that even these basic notions can be extremely useful, the book also aims to provide an introduction to the modern field of network science. Mathematics is often unnecessarily difficult for students, at times even intimidating. For this reason, explicit attention is paid in the first chapters to mathematical notations and proof techniques, emphasizing that the notations form the biggest obstacle, not the mathematical concepts themselves. This approach allows to gradually prepare students for using tools that are necessary to put graph theory to work: complex networks. In the second part of the book the student learns about random networks, small worlds, the structure of the Internet and the Web, peer-to-peer systems, and social networks. Again, everything is discussed at an elementary level, but such that in the end students indeed have the feeling that they: 1.Have learned how to read and understand the basic mathematics related to graph theory. 2.Understand how basic graph theory can be applied to optimization problems such as routing in communication networks. 3.Know a bit more about this sometimes mystical field of small worlds and random networks. There is an accompanying web site www.distributed-systems.net/gtcn from where supplementary material can be obtained, including exercises, Mathematica notebooks, data for analyzing graphs, and generators for various complex networks.

Complex Networks

Kayhan Erciyes
Complex Networks Book PDF

Author : Kayhan Erciyes
Publisher : CRC Press
Page : 318 pages
File Size : 42,6 Mb
Release : 2014-09-06
Category : Computers
ISBN : 9781466571679

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Complex Networks by Kayhan Erciyes Pdf

Network science is a rapidly emerging field of study that encompasses mathematics, computer science, physics, and engineering. A key issue in the study of complex networks is to understand the collective behavior of the various elements of these networks.Although the results from graph theory have proven to be powerful in investigating the structur

Air Route Networks Through Complex Networks Theory

Jose M. Sallan,Oriol Lordan
Air Route Networks Through Complex Networks Theory Book PDF

Author : Jose M. Sallan,Oriol Lordan
Publisher : Elsevier
Page : 254 pages
File Size : 49,6 Mb
Release : 2019-11-06
Category : Social Science
ISBN : 9780128126660

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Air Route Networks Through Complex Networks Theory by Jose M. Sallan,Oriol Lordan Pdf

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

Structural Analysis of Complex Networks

Matthias Dehmer
Structural Analysis of Complex Networks Book PDF

Author : Matthias Dehmer
Publisher : Springer Science & Business Media
Page : 493 pages
File Size : 43,5 Mb
Release : 2010-10-14
Category : Mathematics
ISBN : 9780817647896

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Structural Analysis of Complex Networks by Matthias Dehmer Pdf

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.

Complex Social Networks

Fernando Vega-Redondo
Complex Social Networks Book PDF

Author : Fernando Vega-Redondo
Publisher : Cambridge University Press
Page : 316 pages
File Size : 50,5 Mb
Release : 2007-01-08
Category : Business & Economics
ISBN : 0521674093

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Complex Social Networks by Fernando Vega-Redondo Pdf

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Graph Spectra for Complex Networks

Piet van Mieghem
Graph Spectra for Complex Networks Book PDF

Author : Piet van Mieghem
Publisher : Cambridge University Press
Page : 363 pages
File Size : 53,7 Mb
Release : 2010-12-02
Category : Technology & Engineering
ISBN : 9781139492270

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Graph Spectra for Complex Networks by Piet van Mieghem Pdf

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.

Complex Networks

Vito Latora,Vincenzo Nicosia,Giovanni Russo
Complex Networks Book PDF

Author : Vito Latora,Vincenzo Nicosia,Giovanni Russo
Publisher : Cambridge University Press
Page : 585 pages
File Size : 52,9 Mb
Release : 2017-09-28
Category : Computers
ISBN : 9781107103184

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Complex Networks by Vito Latora,Vincenzo Nicosia,Giovanni Russo Pdf

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

The Structure of Complex Networks

Ernesto Estrada
The Structure of Complex Networks Book PDF

Author : Ernesto Estrada
Publisher : Oxford University Press
Page : 478 pages
File Size : 43,7 Mb
Release : 2012
Category : Computers
ISBN : 9780199591756

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The Structure of Complex Networks by Ernesto Estrada Pdf

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 Systems and Networks

Jinhu Lü,Xinghuo Yu,Guanrong Chen,Wenwu Yu
Complex Systems and Networks Book PDF

Author : Jinhu Lü,Xinghuo Yu,Guanrong Chen,Wenwu Yu
Publisher : Springer
Page : 482 pages
File Size : 40,5 Mb
Release : 2015-08-14
Category : Technology & Engineering
ISBN : 9783662478240

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Complex Systems and Networks by Jinhu Lü,Xinghuo Yu,Guanrong Chen,Wenwu Yu Pdf

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.

A First Course in Network Theory

Ernesto Estrada,Philip A. Knight
A First Course in Network Theory Book PDF

Author : Ernesto Estrada,Philip A. Knight
Publisher : Oxford University Press, USA
Page : 269 pages
File Size : 53,6 Mb
Release : 2015
Category : Science
ISBN : 9780198726456

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A First Course in Network Theory by Ernesto Estrada,Philip A. Knight Pdf

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.

Mining Complex Networks

Bogumil Kaminski,Pawel Prałat,Francois Theberge
Mining Complex Networks Book PDF

Author : Bogumil Kaminski,Pawel Prałat,Francois Theberge
Publisher : CRC Press
Page : 278 pages
File Size : 44,9 Mb
Release : 2021-12-15
Category : Mathematics
ISBN : 9781000515855

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Mining Complex Networks by Bogumil Kaminski,Pawel Prałat,Francois Theberge Pdf

This book concentrates on mining networks, a subfield within data science. Data science uses scientific and computational tools to extract valuable knowledge from large data sets. Once data is processed and cleaned, it is analyzed and presented to support decision-making processes. Data science and machine learning tools have become widely used in companies of all sizes. Networks are often large-scale, decentralized, and evolve dynamically over time. Mining complex networks aim to understand the principles governing the organization and the behavior of such networks is crucial for a broad range of fields of study. Here are a few selected typical applications of mining networks: Community detection (which users on some social media platforms are close friends). Link prediction (who is likely to connect to whom on such platforms). Node attribute prediction (what advertisement should be shown to a given user of a particular platform to match their interests). Influential node detection (which social media users would be the best ambassadors of a specific product). This textbook is suitable for an upper-year undergraduate course or a graduate course in programs such as data science, mathematics, computer science, business, engineering, physics, statistics, and social science. This book can be successfully used by all enthusiasts of data science at various levels of sophistication to expand their knowledge or consider changing their career path. Jupiter notebooks (in Python and Julia) accompany the book and can be accessed on https://www.ryerson.ca/mining-complex-networks/. These not only contain all the experiments presented in the book, but also include additional material. Bogumił Kamiński is the Chairman of the Scientific Council for the Discipline of Economics and Finance at SGH Warsaw School of Economics. He is also an Adjunct Professor at the Data Science Laboratory at Ryerson University. Bogumił is an expert in applications of mathematical modeling to solving complex real-life problems. He is also a substantial open-source contributor to the development of the Julia language and its package ecosystem. Paweł Prałat is a Professor of Mathematics in Ryerson University, whose main research interests are in random graph theory, especially in modeling and mining complex networks. He is the Director of Fields-CQAM Lab on Computational Methods in Industrial Mathematics in The Fields Institute for Research in Mathematical Sciences and has pursued collaborations with various industry partners as well as the Government of Canada. He has written over 170 papers and three books with 130 plus collaborators. François Théberge holds a B.Sc. degree in applied mathematics from the University of Ottawa, a M.Sc. in telecommunications from INRS and a PhD in electrical engineering from McGill University. He has been employed by the Government of Canada since 1996 where he was involved in the creation of the data science team as well as the research group now known as the Tutte Institute for Mathematics and Computing. He also holds an adjunct professorial position in the Department of Mathematics and Statistics at the University of Ottawa. His current interests include relational-data mining and deep learning.

Complex Networks

Eli Ben-Naim,Hans Frauenfelder,Zoltan Toroczkai
Complex Networks Book PDF

Author : Eli Ben-Naim,Hans Frauenfelder,Zoltan Toroczkai
Publisher : Springer Science & Business Media
Page : 548 pages
File Size : 47,9 Mb
Release : 2004-09-01
Category : Science
ISBN : 3540223541

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Complex Networks by Eli Ben-Naim,Hans Frauenfelder,Zoltan Toroczkai Pdf

This volume is devoted to the applications of techniques from statistical physics to the characterization and modeling of complex networks. The first two parts of the book concern theory and modeling of networks, the last two parts survey applications to a wide variety of natural and artificial networks. The tutorial reviews that form this book are aimed at students and newcomers to the field, and will also constitute a modern and comprehensive reference for experts. To this aim, all contributions have been carefully peer-reviewed not only for scientific content but also for self-consistency and readability.

Handbook of Optimization in Complex Networks

My T. Thai,Panos M. Pardalos
Handbook of Optimization in Complex Networks Book PDF

Author : My T. Thai,Panos M. Pardalos
Publisher : Springer Science & Business Media
Page : 544 pages
File Size : 47,5 Mb
Release : 2011-11-25
Category : Mathematics
ISBN : 9781461408574

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Handbook of Optimization in Complex Networks by My T. Thai,Panos M. Pardalos Pdf

Complex Social Networks is a newly emerging (hot) topic with applications in a variety of domains, such as communication networks, engineering networks, social networks, and biological networks. In the last decade, there has been an explosive growth of research on complex real-world networks, a theme that is becoming pervasive in many disciplines, ranging from mathematics and computer science to the social and biological sciences. Optimization of complex communication networks requires a deep understanding of the interplay between the dynamics of the physical network and the information dynamics within the network. Although there are a few books addressing social networks or complex networks, none of them has specially focused on the optimization perspective of studying these networks. This book provides the basic theory of complex networks with several new mathematical approaches and optimization techniques to design and analyze dynamic complex networks. A wide range of applications and optimization problems derived from research areas such as cellular and molecular chemistry, operations research, brain physiology, epidemiology, and ecology.

Advanced Methods for Complex Network Analysis

Meghanathan, Natarajan
Advanced Methods for Complex Network Analysis Book PDF

Author : Meghanathan, Natarajan
Publisher : IGI Global
Page : 461 pages
File Size : 42,8 Mb
Release : 2016-04-07
Category : Computers
ISBN : 9781466699656

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Advanced Methods for Complex Network Analysis by Meghanathan, Natarajan Pdf

As network science and technology continues to gain popularity, it becomes imperative to develop procedures to examine emergent network domains, as well as classical networks, to help ensure their overall optimization. Advanced Methods for Complex Network Analysis features the latest research on the algorithms and analysis measures being employed in the field of network science. Highlighting the application of graph models, advanced computation, and analytical procedures, this publication is a pivotal resource for students, faculty, industry practitioners, and business professionals interested in theoretical concepts and current developments in network domains.