Higher-Order Networks by Ginestra Bianconi

Higher-Order Networks by Ginestra Bianconi

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Résumé

This Element presents one of the most recent developments in network science in a highly accessible style. This Element will be of interest to interdisciplinary scientists working in network science, in addition to mathematicians working in discrete topology and geometry and physicists working in quantum gravity.

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Higher-Order Networks by Ginestra Bianconi

Higher-order networks describe the many-body interactions of a large variety of complex systems, ranging from the the brain to collaboration networks. Simplicial complexes are generalized network structures which allow us to capture the combinatorial properties, the topology and the geometry of higher-order networks. Having been used extensively in quantum gravity to describe discrete or discretized space-time, simplicial complexes have only recently started becoming the representation of choice for capturing the underlying network topology and geometry of complex systems. This Element provides an in-depth introduction to the very hot topic of network theory, covering a wide range of subjects ranging from emergent hyperbolic geometry and topological data analysis to higher-order dynamics. This Elements aims to demonstrate that simplicial complexes provide a very general mathematical framework to reveal how higher-order dynamics depends on simplicial network topology and geometry.
SKU Non disponible
ISBN 13 9781108726733
ISBN 10 1108726739
Titre Higher-Order Networks
Auteur Ginestra Bianconi
Série Elements In The Structure And Dynamics Of Complex Networks
État Non disponible
Type de reliure Paperback
Éditeur Cambridge University Press
Année de publication 2021-12-23
Nombre de pages 75
Note de couverture La photo du livre est présentée à titre d'illustration uniquement. La reliure, la couverture ou l'édition réelle peuvent varier.
Note Non disponible