Abstract
Energy recharging has received much attention now because of the development of wireless recharging technology. This paper proposes a greedy constructing tree algorithm for shortest path in perpetual wireless recharging wireless sensor networks (GCTA) which enables the recharger to work while moving through the shortest path. The algorithm can construct the shorter path which passes all the sensors only once and guarantees that each sensor will be fully recharged. It computes the path in advance with lower complexity. And it also uses the graph theory, the tree theory, the Markov chain theorem and the powerful computing function of a computer. The contributions of the paper are itemized as follows: guaranteeing all the sensors to be fully recharged only once and reducing the length of the recharging path through constructing the greedy tree. In the experiment, this algorithm can construct the shorter path. So it is novel, general and can be applied widely.













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Acknowledgements
This paper is sponsored by National Students’ Innovation and Entrepreneurship Training Program (AH201410379046, AH201410379087, 201510379038, 201610379165, 201610379042, 201610379168 and 201610379187) and Anhui Province Natural Science Research Major Project, Research on P2P multichannel video encoding key technologies (KJ2014ZD31). Anhui Province College Humanities and Social Sciences Key Research Base-Culture University Research Center, the tender: Research on Campus Culture Construction Evaluation System (SK2014A116), the plant alarm system based on Linux (2015HX023), and Anhui Province Philosophy and Social Science Planning Project “Research On the restructuring professional to serve the local development (2013zytz074) and Suzhou scientific and technological research projects, Research for Fruit and Vegetable Diseases and Pests through the Hyper-spectral Large Data Fusion Method and Development of Trace-ability System(SZ2018GG04)”. 2018 research projects of outstanding young talents in universities at home and abroad (gxgnfx2018052).
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Chen, G., Xin, Z., Li, H. et al. A greedy constructing tree algorithm for shortest path in perpetual wireless recharging wireless sensor network. J Supercomput 75, 5930–5945 (2019). https://doi.org/10.1007/s11227-019-02897-4
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DOI: https://doi.org/10.1007/s11227-019-02897-4