Title |
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Mayer-Vietoris sequences and coverage problems in sensor networks
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Creator |
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Accessrights |
open access |
Rights |
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The original publication is available at www.springerlink.com
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Subject |
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Other
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Mayer-Vietoris sequences
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Other
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sensor networks
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Other
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coverage problems
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NDC
501
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Description |
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Abstract
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A coverage problem of sensor networks is studied. Following recent works by Ghrist et al., in which computational topological methods are applied for the coverage problem, We present an algorithm for the distributed computation of the first homology group of planar Rips complexes. The key idea is to decompose a Rips complex into smaller pieces of subcomplexes, and to make use of Mayer-Vietoris sequences in order to sum up the homology groups of subcomplexes. Combined with a sufficient condition for the coverage which is given in terms of the first homology group, the proposed algorithm enables us to verify the coverage in a distributed manner.
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Publisher |
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Springer Japan
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Date |
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Language |
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Resource Type |
journal article |
Version Type |
AM |
Identifier |
HDL
http://hdl.handle.net/2115/47244
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Relation |
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isVersionOf
DOI
https://doi.org/10.1007/s13160-011-0039-8
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Journal |
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Japan Journal of Industrial and Applied Mathematics
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Volume Number28
Issue Number2
Page Start237
Page End250
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File |
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Oaidate |
2023-07-26 |