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Simplicial Complex Reduction Algorithm for Simplifying WSN’s Topology

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Ad Hoc Networks (ADHOCNETS 2018)

Abstract

In this paper, a reduction algorithm aiming at simplifying the topology of wireless sensor networks (WSNs) is proposed. First, we use simplicial complex as the tool to represent the topology of the WSNs. Then, we present a reduction algorithm which recurrently deletes redundant vertices and edges while keeping the homology of the network invariant. By reducing the number of simplexes, we make the simplicial complex graph nearly planar and easy for computation. Finally, the performance of the proposed scheme is investigated. Simulations under different node intensities are presented and the results indicate that the proposed algorithm performs well in reducing the number of simplexes under various situations.

This work is supported in part by the National Natural Science Foundation of China (No. 61601122, 61471164 and 61741102), and Open Foundation of State key Laboratory of Networking and Switching Technology (Beijing University of Posts and Telecommunications) (SKLNST-2016-2-16).

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Correspondence to Feng Yan .

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© 2019 ICST Institute for Computer Sciences, Social Informatics and Telecommunications Engineering

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Ma, W., Yan, F., Zuo, X., Hu, J., Xia, W., Shen, L. (2019). Simplicial Complex Reduction Algorithm for Simplifying WSN’s Topology. In: Zheng, J., Xiang, W., Lorenz, P., Mao, S., Yan, F. (eds) Ad Hoc Networks. ADHOCNETS 2018. Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering, vol 258. Springer, Cham. https://doi.org/10.1007/978-3-030-05888-3_3

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  • DOI: https://doi.org/10.1007/978-3-030-05888-3_3

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-05887-6

  • Online ISBN: 978-3-030-05888-3

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