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    Computing the kk-coverage of a wireless network

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    Coverage is one of the main quality of service of a wirelessnetwork. kk-coverage, that is to be covered simultaneously by kknetwork nodes, is synonym of reliability and numerous applicationssuch as multiple site MIMO features, or handovers. We introduce here anew algorithm for computing the kk-coverage of a wirelessnetwork. Our method is based on the observation that kk-coverage canbe interpreted as kk layers of 11-coverage, or simply coverage. Weuse simplicial homology to compute the network's topology and areduction algorithm to indentify the layers of 11-coverage. Weprovide figures and simulation results to illustrate our algorithm.Comment: Valuetools 2019, Mar 2019, Palma de Mallorca, Spain. 2019. arXiv admin note: text overlap with arXiv:1802.0844
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