Higher-order networks: an introduction to simplicial complexes
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 high...
Gespeichert in:
| Beteilige Person: | |
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| Format: | E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2021
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| Schriftenreihe: | Cambridge elements. Elements in structure and dynamics of complex networks
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| Links: | https://doi.org/10.1017/9781108770996 |
| Zusammenfassung: | 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. |
| Umfang: | 1 Online-Ressource (140 Seiten) |
| ISBN: | 9781108770996 |
| ISSN: | 2516-5763 |
Internformat
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| id | ZDB-20-CTM-CR9781108770996 |
| illustrated | Not Illustrated |
| indexdate | 2025-03-03T11:58:08Z |
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| isbn | 9781108770996 |
| issn | 2516-5763 |
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| series2 | Cambridge elements. Elements in structure and dynamics of complex networks |
| spelling | Bianconi, Ginestra Higher-order networks an introduction to simplicial complexes Ginestra Bianconi Cambridge Cambridge University Press 2021 1 Online-Ressource (140 Seiten) txt c cr Cambridge elements. Elements in structure and dynamics of complex networks 2516-5763 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. Erscheint auch als Druck-Ausgabe 9781108726733 |
| spellingShingle | Bianconi, Ginestra Higher-order networks an introduction to simplicial complexes |
| title | Higher-order networks an introduction to simplicial complexes |
| title_auth | Higher-order networks an introduction to simplicial complexes |
| title_exact_search | Higher-order networks an introduction to simplicial complexes |
| title_full | Higher-order networks an introduction to simplicial complexes Ginestra Bianconi |
| title_fullStr | Higher-order networks an introduction to simplicial complexes Ginestra Bianconi |
| title_full_unstemmed | Higher-order networks an introduction to simplicial complexes Ginestra Bianconi |
| title_short | Higher-order networks |
| title_sort | higher order networks an introduction to simplicial complexes |
| title_sub | an introduction to simplicial complexes |
| work_keys_str_mv | AT bianconiginestra higherordernetworksanintroductiontosimplicialcomplexes |