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Multiplex Networks
This book provides the basis of a formal language and explores its possibilities in the characterization of multiplex networks. Armed with the formalism developed, the authors define structural metrics for multiplex networks. A methodology to generalize monoplex structural metrics to multiplex networks is also presented so that the reader will be able to generalize other metrics of interest in a systematic way. Therefore, this book will serve as a guide for the theoretical development of new multiplex metrics. Furthermore, this Brief describes the spectral properties of these networks in relation to concepts from algebraic graph theory and the theory of matrix polynomials. The text is rounded off by analyzing the different structural transitions present in multiplex systems as well as by a brief overview of some representative dynamical processes. Multiplex Networks will appeal to students, researchers, and professionals within the fields of network science, graph theory, and data science.
Networks of Networks in Biology
Introduces network inspired approaches for the analysis and integration of large, heterogeneous data sets in the life sciences.
Random Walks and Diffusion
This block explores the diffusion equation which is most commonly encountered in discussions of the flow of heat and of molecules moving in liquids, but diffusion equations arise from many different areas of applied mathematics. As well as considering the solutions of diffusion equations in detail, we also discuss the microscopic mechanism underlying the diffusion equation, namely that particles of matter or heat move erratically. This involves a discussion of elementary probability and statistics, which are used to develop a description of random walk processes and of the central limit theorem. These concepts are used to show that if particles follow random walk trajectories, their density obeys the diffusion equation.
Network Embedding
heterogeneous graphs. Further, the book introduces different applications of NE such as recommendation and information diffusion prediction. Finally, the book concludes the methods and applications and looks forward to the future directions.
Proceedings of ECCS 2014
This work provides a careful selection of extended contributions presented at the 2014 ECCS conference and its satellite meetings, reflecting the scope and diversity of both fundamental and applied research areas in the field. The ECCS meeting, held under the patronage of the Complex Systems Society, is an annual event that has become the leading European conference devoted to complexity science. It presents cutting-edge research and offers a unique opportunity to study novel scientific approaches in a multitude of application areas. ECCS'14, the eleventh annual event, took place in Lucca, Italy. It gathered some 650 scholars representing a wide range of topics related to complex systems research, with emphasis on interdisciplinary approaches. The editors are leading specialists in the area.The book is of great interest to scientists, researchers and graduate students in complexity, complex systems and networks.
Models of Life
An overview of current models of biological systems, reflecting the major advances that have been made over the past decade.
Gastric Cancer: the 25-year R-Evolution
Twenty-five years ago, a monograph on gastric cancer was published by the Italian Society of Surgery: that book is recognized as a milestone in the management of these tumors in Italy. Oncological and surgical knowledge in the field of gastric cancer have changed dramatically over the last 25 years. The aim of this book is to offer an essential update on current diagnostic approaches and optimal treatment strategies. It gives comprehensive information on gastric cancer not neglecting the basic sciences, which can shed light on the carcinogenesis mechanisms involved in this pathology. The principles of tailored and multimodal treatment are examined according to the latest guidelines with the ...
Multilayer Network Science
Networks are convenient mathematical models to represent the structure of complex systems, from cells to societies. In the last decade, multilayer network science – the branch of the field dealing with units interacting in multiple distinct ways, simultaneously – was demonstrated to be an effective modeling and analytical framework for a wide spectrum of empirical systems, from biopolymers networks (such as interactome and metabolomes) to neuronal networks (such as connectomes), from social networks to urban and transportation networks. In this Element, a decade after one of the most seminal papers on this topic, the authors review the most salient features of multilayer network science, covering both theoretical aspects and direct applications to real-world coupled/interdependent systems, from the point of view of multilayer structure, dynamics and function. The authors discuss potential frontiers for this topic and the corresponding challenges in the field for the next future.
Multilayer Social Networks
This book unifies and consolidates methods for analyzing multilayer networks arising from the social and physical sciences and computing.
Spatial Networks
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.
