# Efficiently Testing T -Interval Connectivity in Dynamic Graphs

@article{Casteigts2015EfficientlyTT,
title={Efficiently Testing T -Interval Connectivity in Dynamic Graphs},
author={Arnaud Casteigts and Ralf Klasing and Yessin M. Neggaz and Joseph G. Peters},
journal={ArXiv},
year={2015},
volume={abs/1502.00089}
}
• Published 31 January 2015
• Mathematics
• ArXiv
Many types of dynamic networks are made up of durable entities whose links evolve over time. When considered from a global and discrete standpoint, these networks are often modelled as evolving graphs, i.e. a sequence of static graphs $$\mathcal{{G}}=\{G_1,G_2,...,G_{\delta }\}$$ such that $$G_i=V,E_i$$ represents the network topology at time step $$i$$. Such a sequence is said to be $$T$$-interval connected if for any $$t\in [1, \delta -T+1]$$ all graphs in \{G_t,G_{t+1},...,G_{t+T-1…
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