ArticleNetwork science (Cambridge University Press)2017
Forward reachable sets: Analytically derived properties of connected components for dynamic networks.
Article in Network science (Cambridge University Press), 2017. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 12 papers.
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Who cites it
12 citing papers in PubMed.
- Temporal Connectivity of Social Contact Networks in Urban and Rural India.Epidemiology (Cambridge, Mass.) · 2026Article
- Article
- Dynamic Contact Networks of Residents of an Urban Jail in the Era of SARS-CoV-2.medRxiv : the preprint server for health sciences · 2023Article
- Optimal Physician Shared-Patient Networks and the Diffusion of Medical Technologies.Journal of data science : JDS · 2023Article
- Contact network analysis of COVID-19 Delta variant outbreak in urban China -based on 2,050 confirmed cases in Xi'an, China.BMC public health · 2022Article
- HIV and Sexually Transmitted Infection Epidemic Potential of Networks of Men Who Have Sex With Men in Two Cities.Epidemiology (Cambridge, Mass.) · 2021Article
- Concurrency measures in the era of temporal network epidemiology: a review.Journal of the Royal Society, Interface · 2021Review
- Analysis of dynamic contact network of patients with COVID-19 in Shaanxi Province of China.Scientific reports · 2021Article
- Egocentric sexual networks of men who have sex with men in the United States: Results from the ARTnet study.Epidemics · 2020Article
- EpiExploreR: A Shiny Web Application for the Analysis of Animal Disease Data.Microorganisms · 2019Article
- It's the network, stupid: a population's sexual network connectivity determines its STI prevalence.F1000Research · 2018Article
- Epidemic potential by sexual activity distributions.Network science (Cambridge University Press) · 2017Article
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3 authors.
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Abstract
Formal analysis of the emergent structural properties of dynamic networks is largely uncharted territory. We focus here on the properties of forward reachable sets (FRS) as a function of the underlying degree distribution and edge duration. FRS are defined as the set of nodes that can be reached from an initial seed via a path of temporally ordered edges; a natural extension of connected component measures to dynamic networks. Working in a stochastic framework, we derive closed-form expressions for the mean and variance of the exponential growth rate of the FRS for temporal networks with both edge and node dynamics. For networks with node dynamics, we calculate thresholds for the growth of the FRS. The effects of finite population size are explored via simulation and approximation. We examine how these properties vary by edge duration and different cross-sectional degree distributions that characterize a range of scientifically interesting normative outcomes (Poisson and Bernoulli). The size of the forward reachable set gives an upper bound for the epidemic size in disease transmission network models, relating this work to epidemic modeling (Ferguson, 2000; Eames, 2004).
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