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Sensors 2018, 18(8), 2642; https://doi.org/10.3390/s18082642

Adaptive Discrete Vector Field in Sensor Networks

1
College of Electrical Engineering and Control Science, Nanjing Tech University, Nanjing 210028, China
2
CReSTIC, University of Reims Champagne-Ardenne, 51100 Reims, France
*
Author to whom correspondence should be addressed.
Received: 4 June 2018 / Revised: 6 August 2018 / Accepted: 9 August 2018 / Published: 12 August 2018
(This article belongs to the Section Sensor Networks)
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Abstract

Homology groups are a prime tool for measuring the connectivity of a network, and their computation in a distributed and adaptive way is mandatory for their use in sensor networks. In this paper, we propose a solution based on the construction of an adaptive discrete vector field from where, thanks to the discrete Morse theory, the generators of the homology groups are extracted. The efficiency and the adaptability of our approach are tested against two applications: the detection and the localization of the holes in the coverage, and the selection of active sensors ensuring complete coverage. View Full-Text
Keywords: sensor networks; algebraic topology; discrete vector field; discrete Morse theory; distributed algorithm; coverage; sensor selection sensor networks; algebraic topology; discrete vector field; discrete Morse theory; distributed algorithm; coverage; sensor selection
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).
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Zhang, M.; Goupil, A. Adaptive Discrete Vector Field in Sensor Networks. Sensors 2018, 18, 2642.

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