38 citations · 53 across the 8 of their papers we have counts for
8 papers
Computing the -coverage of a wireless network
Anaïs Vergne, Laurent Decreusefond, Philippe Martins
Coverage is one of the main quality of service of a wirelessnetwork. -coverage, that is to be covered simultaneously by network nodes, is synonym of reliability and numerous…
Building a coverage hole-free communication tree
Anais Vergne, Laurent Decreusefond, Philippe Martins
Wireless networks are present everywhere but their management can be tricky since their coverage may contain holes even if the network is fully connected. In this paper we propose…
Distributed Computation of the Cech Complex and Applications in Wireless Networks
Ngoc-Khuyen Le, Anais Vergne, Philippe Martins +1
In this paper, we introduce a distributed algorithm to compute thě Cech complex. This algorithm is aimed at solving coverage problems in self organized wireless networks. Two appli…
Cournot-Nash Equilibria for Bandwidth Allocation under Base-Station Cooperation
J S Gomez, A Vergne, P Martins +2
-In this paper, a novel resource allocation scheme based on discrete Cournot-Nash equilibria and optimal transport theory is proposed. The originality of this framework lies in the…
A case study on regularity in cellular network deployment
Jean-Sébastien Gomez, Aurélien Vasseur, Anaïs Vergne +3
This paper aims to validate the -Ginibre point process as a model for the distribution of base station locations in a cellular network. The -Ginibre is a repulsive point proc…
Simplicial Homology for Future Cellular Networks
Anaïs Vergne, Laurent Decreusefond, Philippe Martins
Simplicial homology is a tool that provides a mathematical way to compute the connectivity and the coverage of a cellular network without any node location information. In this art…
Random Abstract Simplicial Complexes Reduction
Anaïs Vergne, Laurent Decreusefond, Philippe Martins
Random abstract simplicial complex representation provides a mathematical description of wireless networks and their topology. In order to reduce the energy consumption in this typ…
Efficient simulation of the Ginibre point process
Laurent Decreusefond, Ian Flint, Anaïs Vergne
The Ginibre point process is one of the main examples of deter- minantal point processes on the complex plane. It forms a recurring model in stochastic matrix theory as well as in…