Volume 119, Number 2, July 2017
|Number of page(s)||7|
|Section||Interdisciplinary Physics and Related Areas of Science and Technology|
|Published online||05 October 2017|
Isolation statistics in temporal spatial networks
1 School of Mathematics, University of Bristol - University Walk, Bristol BS8 1TW, UK
2 Toshiba Telecommuncations Research Laboratory - 32 Queens Square, Bristol BS1 4ND, UK
Received: 6 March 2017
Accepted: 4 September 2017
The reliability and robustness of infrastructure networks are important problems requiring network models with nodes at fixed locations and links that break and reform with time. These temporal spatial networks are however difficult to analyse and understand due to the coexistence of short- and long-range links and inherent temporal correlations. We provide a mathematically tractable framework to analytically study the isolation statistics responsible for disconnecting spatial networks. Small-world effects and temporal correlations are also incorporated in our framework as we investigate the distribution of the time needed for information packets to be able to reach the whole network.
PACS: 89.75.Hc – Networks and genealogical trees / 02.50.Ey – Stochastic processes / 05.50.+q – Lattice theory and statistics (Ising, Potts, etc.)
© EPLA, 2017
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