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Although multi-hop routing can reduce communication consumption and extend network scale, energy hole is unavoidable to appear because of the relay nodes being overloaded due to take more tasks. In this paper, the authors formulate the energy equilibrium problem as an optimal corona division, where data fusion and data slice are both considered in data gathering process. For a circular multi-hop sensor network with uniform node distribution and constant data reporting, they demonstrate that the energy equilibrium of the whole network is unable to be realized no matter whether data fusion and data slice are adopted.
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