Geography-informed energy conservation for Ad Hoc routing
Proceedings of the 7th annual international conference on Mobile computing and networking
On the minimum node degree and connectivity of a wireless multihop network
Proceedings of the 3rd ACM international symposium on Mobile ad hoc networking & computing
Wireless sensor networks: a survey
Computer Networks: The International Journal of Computer and Telecommunications Networking
PEAS: A Robust Energy Conserving Protocol for Long-lived Sensor Networks
ICDCS '03 Proceedings of the 23rd International Conference on Distributed Computing Systems
Integrated coverage and connectivity configuration in wireless sensor networks
Proceedings of the 1st international conference on Embedded networked sensor systems
Naps: scalable, robust topology management in wireless ad hoc networks
Proceedings of the 3rd international symposium on Information processing in sensor networks
ASCENT: Adaptive Self-Configuring sEnsor Networks Topologies
IEEE Transactions on Mobile Computing
Partial Clustering: Maintaining Connectivity in a Low Duty-Cycled Dense Wireless Sensor Network
IPDPS '05 Proceedings of the 19th IEEE International Parallel and Distributed Processing Symposium (IPDPS'05) - Workshop 12 - Volume 13
Planar tilings by polyominoes, polyhexes, and polyiamonds
Journal of Computational and Applied Mathematics
Deploying a Wireless Sensor Network on an Active Volcano
IEEE Internet Computing
Deploying wireless sensors to achieve both coverage and connectivity
Proceedings of the 7th ACM international symposium on Mobile ad hoc networking and computing
Probabilistic analysis on mesh network fault tolerance
Journal of Parallel and Distributed Computing
Connectivity in Sensor Networks
HICSS '07 Proceedings of the 40th Annual Hawaii International Conference on System Sciences
Topology control with Hexagonal Tessellation
International Journal of Sensor Networks
Fault tolerance measures for large-scale wireless sensor networks
ACM Transactions on Autonomous and Adaptive Systems (TAAS)
Unreliable sensor grids: coverage, connectivity and diameter
Ad Hoc Networks
Deterministic Collision Free Communication Despite Continuous Motion
Algorithmic Aspects of Wireless Sensor Networks
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Wireless sensor networks (WSNs) deployed in hostile environments suffer from a high rate of node failure. We investigate the effect of such failure rate on network connectivity. We provide a formal analysis that establishes the relationship between node density, network size, failure probability, and network connectivity. We show that large networks can maintain connectivity despite a significantly high probability of node failure. We derive mathematical functions that provide lower bounds on network connectivity in WSNs. We compute these functions for some realistic values of node reliability, area covered by the network, and node density, to show that, for instance, networks with over a million nodes can maintain connectivity with a probability exceeding 95% despite node failure probability exceeding 53%.