Higher-Order Networks - An Introduction to Simplicial Complexes

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.

List of contents

1. The relevance of higher-order networks in network science; 2. Combinatorial and statistical properties of simplicial complexes; 3. Simplicial network topology; 4. Simplicial network geometry; 5. Emergent geometry; 6. Higher-order dynamics: synchronization; 7. Higher-order dynamics: percolation; 8. Higher-order dynamics: contagion models; 9. Outlook; References.

Summary

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.

Product details

• Authors: Ginestra Bianconi, Ginestra (Queen Mary University of Londo Bianconi, Ginestra (Queen Mary University of London) Bianconi
• Publisher: Cambridge University Press Academic
• Languages: English
• Product format: Paperback / Softback
• Released: 30.09.2021
• EAN: 9781108726733
• ISBN: 978-1-108-72673-3
• No. of pages: 75
• Dimensions: 150 mm x 230 mm x 10 mm
• Series: Print on Demand; Elements in the Structure and Dynamics of Complex Networks
• Subjects: Natural sciences, medicine, IT, technology > Physics, astronomy > Miscellaneous; NON-CLASSIFIABLE, Stationery and miscellaneous items, Miscellaneous items