Applicable Algebra in Engineering, Communication and Computing

, Volume 23, Issue 1, pp 29–58

Distributed computation of coverage in sensor networks by homological methods

Open AccessOriginal Paper

DOI: 10.1007/s00200-012-0167-7

Cite this article as:
Dłotko, P., Ghrist, R., Juda, M. et al. AAECC (2012) 23: 29. doi:10.1007/s00200-012-0167-7


Recent work on algebraic-topological methods for verifying coverage in planar sensor networks relied exclusively on centralized computation: a limiting constraint for large networks. This paper presents a distributed algorithm for homology computation over a sensor network, for purposes of verifying coverage. The techniques involve reduction and coreduction of simplicial complexes, and are of independent interest. Verification of the ensuing algorithms is proved, and simulations detail the improved network efficiency and performance.


HomologySensor networkCoverageDistributed computation

Mathematics Subject Classification

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© The Author(s) 2012

Authors and Affiliations

  1. 1.Institute of Computer ScienceJagiellonian UniversityKrakówPoland
  2. 2.Departments of Mathematics and Electrical & Systems EngineeringUniversity of PennsylvaniaPhiladelphiaUSA
  3. 3.Division of Computational MathematicsWSB-NLUNowy Sa̧czPoland