### Optimizing mobile networks connectivity and routing using percolation theory

*Soufian Ben Amor*

*, Marc Bui*

*and Ivan Lavallée*

#### Abstract

Mobile Ad-hoc NETworks (MANETs) are complex systems presenting a phase transition phenomenon : an abrupt change in the behavior of the network around a critical value of a certain key parameter. The reliability and connectivity of MANETs depend on their size and on the efficiency of the routing protocol. In this paper we propose a new approach in MANETs modeling, combining percolation theory and epidemic algorithms. Using percolation theory we show the existence of a connectivity threshold (in a square lattice) needed to guarantee the communications in the network, in particular when the number of direct links are limited. Epidemic algorithms are used to provide a good propagation of information in the network wile minimizing the resources cost (energy, number of messages$\dots $).

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