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Introduction to Complex Network Theory

by Animesh Mukherjee , Bivas Mitra , Niloy Ganguly

📖 The Scoop

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, including astrophysics, computer science, biology, and the social sciences. This textbook is the first to provide a multidisciplinary treatment of the subject, using language and algorithms to examine many real-world examples and problems.

Topics and Features:

*Overview of basic structural concepts upon which complex networks are built including: mathematical derivations and their physical interpretation, algorithmic approaches, and relevant software applications.

*Presentation of fundamental theories related to complex networks including: bipartite networks, social network analysis, community detection and analysis, small world property, and random graph theory.

*Thorough explanations are given both conceptually and mathematically for elements of network dynamics such as growth, network resilience, percolation, search, and epidemics.

*Examination of common problems in systems exhibiting a complex network structure through multidisciplinary research contributions in computer science, statistical physics, nonlinear dynamics, econometrics, and social network theory.

*Large scale network visualization software and algorithms are included to provide a useful resource for engineering students and application-oriented researchers.

*Illustrative examples and exercises in each chapter.

*A comprehensive set of glossaries for easy reference.

*By presenting concepts in contemporary research and literature in a self-contained format, this book is an invaluable text for senior undergraduate and graduate students of social science, physics, mathematics, computer science, and biology who are new to the field of complex network theory. An implicit sequence among chapters can be followed by instructors to teach the subject, while simultaneously providing straightforward access to topics of specific interest to be used as reference for researchers.

Genre: Mathematics / Applied (fancy, right?)

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