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Percolation in Spatial Networks

Percolation in Spatial Networks PDF Author: Bnaya Gross
Publisher: Cambridge University Press
ISBN: 1009178695
Category : Science
Languages : en
Pages : 80

Book Description
Percolation theory is a well studied process utilized by networks theory to understand the resilience of networks under random or targeted attacks. Despite their importance, spatial networks have been less studied under the percolation process compared to the extensively studied non-spatial networks. In this Element, the authors will discuss the developments and challenges in the study of percolation in spatial networks ranging from the classical nearest neighbors lattice structures, through more generalized spatial structures such as networks with a distribution of edge lengths or community structure, and up to spatial networks of networks.

Percolation in Spatial Networks

Percolation in Spatial Networks PDF Author: Bnaya Gross
Publisher: Cambridge University Press
ISBN: 1009178695
Category : Science
Languages : en
Pages : 80

Book Description
Percolation theory is a well studied process utilized by networks theory to understand the resilience of networks under random or targeted attacks. Despite their importance, spatial networks have been less studied under the percolation process compared to the extensively studied non-spatial networks. In this Element, the authors will discuss the developments and challenges in the study of percolation in spatial networks ranging from the classical nearest neighbors lattice structures, through more generalized spatial structures such as networks with a distribution of edge lengths or community structure, and up to spatial networks of networks.

Morphogenesis of Spatial Networks

Morphogenesis of Spatial Networks PDF Author: Marc Barthelemy
Publisher: Springer
ISBN: 331920565X
Category : Science
Languages : en
Pages : 331

Book Description
This book develops a morphodynamical approach of spatial networks with a particular emphasis on infrastructure networks such as streets, roads and transportation networks (subway, train). The author presents the mathematical tools needed to characterize these structures and how they evolve in time. The book discusses the most important empirical results and stylized facts, and will present the most important models of spatial networks. The target audience primarily comprises research scientists interested in this rapidly evolving and highly interdisciplinary field, but the book may also be beneficial for graduate students interested in large networks.

Spatial Networks

Spatial Networks PDF Author: Marc Barthelemy
Publisher: Springer Nature
ISBN: 303094106X
Category : Mathematics
Languages : en
Pages : 443

Book Description
This book provides a complete introduction into spatial networks. It offers the mathematical tools needed to characterize these structures and how they evolve in time and presents the most important models of spatial networks. The book puts a special emphasis on analyzing complex systems which are organized under the form of networks where nodes and edges are embedded in space. In these networks, space is relevant, and topology alone does not contain all the information. Characterizing and understanding the structure and the evolution of spatial networks is thus crucial for many different fields, ranging from urbanism to epidemiology. This subject is therefore at the crossroad of many fields and is of potential interest to a broad audience comprising physicists, mathematicians, engineers, geographers or urbanists. In this book, the author has expanded his previous book ("Morphogenesis of Spatial Networks") to serve as a textbook and reference on this topic for a wide range of students and professional researchers.

Understanding Large Temporal Networks and Spatial Networks

Understanding Large Temporal Networks and Spatial Networks PDF Author: Vladimir Batagelj
Publisher: John Wiley & Sons
ISBN: 1118915356
Category : Mathematics
Languages : en
Pages : 464

Book Description
This book explores social mechanisms that drive network change and link them to computationally sound models of changing structure to detect patterns. This text identifies the social processes generating these networks and how networks have evolved. Reviews: "this book is easy to read and entertaining, and much can be learned from it. Even if you know just about everything about large-scale and temporal networks, the book is a worthwhile read; you will learn a lot about SNA literature, patents, the US Supreme Court, and European soccer." (Social Networks) "a clear and accessible textbook, balancing symbolic maths, code, and visual explanations. The authors’ enthusiasm for the subject matter makes it enjoyable to read" (JASSS)

Complex Systems and Networks

Complex Systems and Networks PDF Author: Jinhu Lü
Publisher: Springer
ISBN: 3662478242
Category : Technology & Engineering
Languages : en
Pages : 482

Book Description
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.

Spatial Networks

Spatial Networks PDF Author: Marc Barthélemy
Publisher:
ISBN:
Category :
Languages : en
Pages : 101

Book Description


Invading Ecological Networks

Invading Ecological Networks PDF Author: Cang Hui
Publisher: Cambridge University Press
ISBN: 1108805000
Category : Nature
Languages : en
Pages : 456

Book Description
Until now, biological invasions have been conceptualised and studied mainly as a linear process: from introduction to establishment to spread. This volume charts a new course for the field, drawing on key developments in network ecology and complexity science. It defines an agenda for Invasion Science 2.0 by providing new framings and classification of research topics and by offering tentative solutions to vexing problems. In particular, it conceptualises a transformative ecosystem as an open adaptive network with critical transitions and turnover, with resident species heuristically learning and fine-tuning their niches and roles in a multiplayer eco-evolutionary game. It erects signposts pertaining to network interactions, structures, stability, dynamics, scaling, and invasibility. It is not a recipe book or a road map, but an atlas of possibilities: a 'hitchhiker's guide'.

Dynamic Models of Infectious Diseases

Dynamic Models of Infectious Diseases PDF Author: V. Sree Hari Rao
Publisher: Springer Science & Business Media
ISBN: 1461492246
Category : Science
Languages : en
Pages : 269

Book Description
Though great advances in public health are witnessed world over in recent years, infectious diseases, besides insect vector-borne infectious diseases remain a leading cause of morbidity and mortality. Control of the epidemics caused by the non-vector borne diseases such as tuberculosis, avian influenza (H5N1) and cryptococcus gattii, have left a very little hope in the past. The advancement of research in science and technology has paved way for the development of new tools and methodologies to fight against these diseases. In particular, intelligent technology and machine-learning based methodologies have rendered useful in developing more accurate predictive tools for the early diagnosis of these diseases. In all these endeavors the main focus is the understanding that the process of transmission of an infectious disease is nonlinear (not necessarily linear) and dynamical in character. This concept compels the appropriate quantification of the vital parameters that govern these dynamics. This book is ideal for a general science and engineering audience requiring an in-depth exposure to current issues, ideas, methods, and models. The topics discussed serve as a useful reference to clinical experts, health scientists, public health administrators, medical practioners, and senior undergraduate and graduate students in applied mathematics, biology, bioinformatics, and epidemiology, medicine and health sciences.

Theory and Practice of Wireless Sensor Networks: Cover, Sense, and Inform

Theory and Practice of Wireless Sensor Networks: Cover, Sense, and Inform PDF Author: Habib M. Ammari
Publisher: Springer Nature
ISBN: 3031078233
Category : Technology & Engineering
Languages : en
Pages : 782

Book Description
This book aims at developing a reader’s thorough understanding of the challenges and opportunities of two categories of networks, namely k-covered wireless sensor networks and k-barrier covered wireless sensor networks. It presents a variety of theoretical studies based on percolation theory, convexity theory, and applied computational geometry, as well as the algorithms and protocols that are essential to their design, analysis, and development. Particularly, this book focuses on the cover, sense, and inform (CSI) paradigm with a goal to build a unified framework, where connected k-coverage (or k-barrier coverage), sensor scheduling, and geographic data forwarding, gathering, and delivery are jointly considered. It provides the interested reader with a fine study of the above networks, which can be covered in introductory and advanced courses on wireless sensor networks. This book is useful to senior undergraduate and graduate students in computer science, computer engineering, electrical engineering, information science, information technology, mathematics, and any related discipline. Also, it is of interest to computer scientists, researchers, and practitioners in academia and industry with interest in these two networks from their deployment until data gathering and delivery.

Complexity and Spatial Networks

Complexity and Spatial Networks PDF Author: Aura Reggiani
Publisher: Springer Science & Business Media
ISBN: 3642015549
Category : Business & Economics
Languages : en
Pages : 283

Book Description
Complex systems analysis has become a fascinating topic in modern research on non-linear dynamics, not only in the physical sciences but also in the life sciences and the social sciences. After the era of bifurcation theory, chaos theory, syn- getics, resilience analysis, network dynamics and evolutionary thinking, currently we observe an increasing interest in critical transitions of dynamic real-world systems in many disciplines, such as demography, biology, psychology, economics, earth sciences, geology, seismology, medical sciences, and so on. The relevance of this approach is clearly re?ected in such phenomena as traf?c congestion, ?nancial crisis, ethnic con?icts, eco-system breakdown, health failures, etc. This has prompted a world-wide interest in complex systems. Geographical space is one of the playgrounds for complex dynamics, as is witnessed by population movements, transport ?ows, retail developments, urban expansion, lowland ?ooding and so forth. All such dynamic phenomena have one feature in common: the low predictability of uncertain interrelated events occurring at different interconnected spatio-temporal scale levels and often originating from different disciplinary backgrounds. The study of the associated non-linear (fast and slow) dynamic transition paths calls for a joint research effort of scientists from different disciplines in order to understand the nature, the roots and the con- quences of unexpected or unpredictable changes in complex spatial systems.