Phase Transition Width of Connectivity of Wireless Multi-Hop Networks in Shadowing Environment

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Executive Summary

A wireless multi-hop network, e.g. a wireless sensor/ad hoc network, is generally formed by a number of self-organized and decentralized wireless devices which communicate with each other in a peer-to-peer manner over wireless channels. Packets are forwarded through either single hop or multi-hop paths between any pair of source and destination. In such a network, most network functions, e.g. routing, topology control, require the network to be connected. A network is said to be connected iff (if and only if) for any pair of two nodes, there is at least one path between them. One widely studied property of network connectivity is its phase transition behavior.

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