Overview
- Provides an introduction to and overview of the emerging field of networks beyond pairwise interactions
- Includes simplicial complexes, hypergraphs, as well as other higher-order systems
- Is an introductory book and state-of-the art overview of this rapidly emerging field
Part of the book series: Understanding Complex Systems (UCS)
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About this book
The book discusses the potential of higher-order interactions to model real-world relational systems. Over the last decade, networks have emerged as the paradigmatic framework to model complex systems. Yet, as simple collections of nodes and links, they are intrinsically limited to pairwise interactions, limiting our ability to describe, understand, and predict complex phenomena which arise from higher-order interactions. Here we introduce the new modeling framework of higher-order systems, where hypergraphs and simplicial complexes are used to describe complex patterns of interactions among any number of agents. This book is intended both as a first introduction and an overview of the state of the art of this rapidly emerging field, serving as a reference for network scientists interested in better modeling the interconnected world we live in.
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Keywords
Table of contents (18 chapters)
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Front Matter
Editors and Affiliations
Bibliographic Information
Book Title: Higher-Order Systems
Editors: Federico Battiston, Giovanni Petri
Series Title: Understanding Complex Systems
DOI: https://doi.org/10.1007/978-3-030-91374-8
Publisher: Springer Cham
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2022
Hardcover ISBN: 978-3-030-91373-1Published: 28 April 2022
Softcover ISBN: 978-3-030-91376-2Published: 28 April 2023
eBook ISBN: 978-3-030-91374-8Published: 26 April 2022
Series ISSN: 1860-0832
Series E-ISSN: 1860-0840
Edition Number: 1
Number of Pages: X, 433
Number of Illustrations: 28 b/w illustrations, 84 illustrations in colour
Topics: Complex Systems, Theoretical, Mathematical and Computational Physics, Biological and Medical Physics, Biophysics, Mathematical Methods in Physics, Sociology, general