TY - JOUR
T1 - Percolation and Topological Properties of Temporal Higher-Order Networks
AU - Di Gaetano, Leonardo
AU - Battiston, Federico
AU - Starnini, Michele
N1 - Publisher Copyright:
© 2024 American Physical Society.
PY - 2024/1/18
Y1 - 2024/1/18
N2 - Many complex systems that exhibit temporal nonpairwise interactions can be represented by means of generative higher-order network models. Here, we propose a hidden variable formalism to analytically characterize a general class of higher-order network models. We apply our framework to a temporal higher-order activity-driven model, providing analytical expressions for the main topological properties of the time-integrated hypergraphs, depending on the integration time and the activity distributions characterizing the model. Furthermore, we provide analytical estimates for the percolation times of general classes of uncorrelated and correlated hypergraphs. Finally, we quantify the extent to which the percolation time of empirical social interactions is underestimated when their higher-order nature is neglected.
AB - Many complex systems that exhibit temporal nonpairwise interactions can be represented by means of generative higher-order network models. Here, we propose a hidden variable formalism to analytically characterize a general class of higher-order network models. We apply our framework to a temporal higher-order activity-driven model, providing analytical expressions for the main topological properties of the time-integrated hypergraphs, depending on the integration time and the activity distributions characterizing the model. Furthermore, we provide analytical estimates for the percolation times of general classes of uncorrelated and correlated hypergraphs. Finally, we quantify the extent to which the percolation time of empirical social interactions is underestimated when their higher-order nature is neglected.
UR - http://www.scopus.com/inward/record.url?scp=85182729416&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.132.037401
DO - 10.1103/PhysRevLett.132.037401
M3 - Article
AN - SCOPUS:85182729416
SN - 0031-9007
VL - 132
JO - Physical Review Letters
JF - Physical Review Letters
IS - 3
M1 - 037401
ER -