Higher-Order Networks
Format:Paperback
Publisher:Cambridge University Press
Published:23rd Dec '21
Currently unavailable, and unfortunately no date known when it will be back
This Element presents one of the most recent developments in network science in a highly accessible style.
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.
ISBN: 9781108726733
Dimensions: 228mm x 152mm x 7mm
Weight: 228g
75 pages