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Physics > Physics and Society
Title: $(ω_1, ω_2)$-Temporal random hyperbolic graphs
(Submitted on 26 Mar 2024)
Abstract: We extend a recent model of temporal random hyperbolic graphs by allowing connections and disconnections to persist across network snapshots with different probabilities, $\omega_1$ and $\omega_2$. This extension, while conceptually simple, poses analytical challenges involving the Appell $F_1$ series. Despite these challenges, we are able to analyze key properties of the model, which include the distributions of contact and intercontact durations, as well as the expected time-aggregated degree. The incorporation of $\omega_1$ and $\omega_2$ enables more flexible tuning of the average contact and intercontact durations, and of the average time-aggregated degree, providing a finer control for exploring the effect of temporal network dynamics on epidemic processes. Overall, our results provide new insights into the analysis of temporal networks and contribute to a more general representation of real-world scenarios.
Submission history
From: Fragkiskos Papadopoulos [view email][v1] Tue, 26 Mar 2024 07:16:31 GMT (1308kb,D)
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