Orestis Georgiou, Carl P. Dettmann, Justin Coon
k-connectivity is an important measure of network robustness and resilience to random faults and disruptions. We undertake both local and global approaches to k-connectivity and calculate closed form analytic formulas for the probability that a confined random network remains fully connected after the removal of k-1 nodes. Our analysis reveals that k-connectivity is governed by local and not global features of the network domain, hence, our results can aid in the design of reliable networks, an important problem in e.g. wireless ad hoc and sensor networks.
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http://arxiv.org/abs/1304.1329
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