Continuum percolation of wireless ad hoc communication networks
Ingmar Glauche, Wolfram Krause, Rudolf Sollacher, Martin Greiner

TL;DR
This paper explores continuum percolation theory to analyze and ensure strong connectivity in wireless multi-hop ad hoc networks, providing a simple distributed protocol that guarantees reliable communication regardless of node distribution patterns.
Contribution
It introduces a novel application of continuum percolation to wireless ad hoc networks, enabling guaranteed connectivity through a simple distributed protocol.
Findings
Guarantees strong connectivity almost surely
Works across various random spatial node patterns
Provides a simple distributed protocol
Abstract
Wireless multi-hop ad hoc communication networks represent an infrastructure-less and self-organized generalization of todays wireless cellular networks. Connectivity within such a network is an important issue. Continuum percolation and technology-driven mutations thereof allow to address this issue in the static limit and to construct a simple distributed protocol, guaranteeing strong connectivity almost surely and independently of various typical uncorrelated and correlated random spatial patterns of participating ad hoc nodes.
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