k-connectivity for confined random networks
Disordered Systems and Neural Networks
2013-12-13 v2 Discrete Mathematics
Mathematical Physics
math.MP
Probability
Abstract
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 microscopic details of the network domain such as sharp corners rather than the macroscopic total volume. Hence, our results can aid in the design of reliable networks, an important problem in e.g. wireless ad hoc and sensor networks.
Cite
@article{arxiv.1304.1329,
title = {k-connectivity for confined random networks},
author = {Orestis Georgiou and Carl P. Dettmann and Justin Coon},
journal= {arXiv preprint arXiv:1304.1329},
year = {2013}
}
Comments
6 pages, 4 figures