TY - JOUR
T1 - Network geometry
AU - Boguñá, Marián
AU - Bonamassa, Ivan
AU - De Domenico, Manlio
AU - Havlin, Shlomo
AU - Krioukov, Dmitri
AU - Serrano, M. Ángeles
N1 - Publisher Copyright:
© 2021, Springer Nature Limited.
PY - 2021/2
Y1 - 2021/2
N2 - Networks are finite metric spaces, with distances defined by the shortest paths between nodes. However, this is not the only form of network geometry: two others are the geometry of latent spaces underlying many networks and the effective geometry induced by dynamical processes in networks. These three approaches to network geometry are intimately related, and all three of them have been found to be exceptionally efficient in discovering fractality, scale invariance, self-similarity and other forms of fundamental symmetries in networks. Network geometry is also of great use in a variety of practical applications, from understanding how the brain works to routing in the Internet. We review the most important theoretical and practical developments dealing with these approaches to network geometry and offer perspectives on future research directions and challenges in this frontier in the study of complexity.
AB - Networks are finite metric spaces, with distances defined by the shortest paths between nodes. However, this is not the only form of network geometry: two others are the geometry of latent spaces underlying many networks and the effective geometry induced by dynamical processes in networks. These three approaches to network geometry are intimately related, and all three of them have been found to be exceptionally efficient in discovering fractality, scale invariance, self-similarity and other forms of fundamental symmetries in networks. Network geometry is also of great use in a variety of practical applications, from understanding how the brain works to routing in the Internet. We review the most important theoretical and practical developments dealing with these approaches to network geometry and offer perspectives on future research directions and challenges in this frontier in the study of complexity.
UR - http://www.scopus.com/inward/record.url?scp=85099902362&partnerID=8YFLogxK
U2 - 10.1038/s42254-020-00264-4
DO - 10.1038/s42254-020-00264-4
M3 - Review Article
AN - SCOPUS:85099902362
SN - 2522-5820
VL - 3
SP - 114
EP - 135
JO - Nature Reviews Physics
JF - Nature Reviews Physics
IS - 2
ER -