Percolation and Topological Properties of Temporal Higher-Order Networks

Leonardo Di Gaetano, Federico Battiston, Michele Starnini

Research output: Contribution to journalArticlepeer-review

Abstract (may include machine translation)

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.

Original languageEnglish
Article number037401
JournalPhysical Review Letters
Volume132
Issue number3
DOIs
StatePublished - 18 Jan 2024

Fingerprint

Dive into the research topics of 'Percolation and Topological Properties of Temporal Higher-Order Networks'. Together they form a unique fingerprint.

Cite this