Homological sensor networks

Notices of the American Mathematical Society

Volumn 54, Issue 1, 2007, Pages 10-17

  De Silva, Vin ^a   Ghrist, Robert ^b  

^a POMONA COLLEGE   (United States)

^b UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33846233375     PISSN: 00029920     EISSN: 10889477     Source Type: Journal    
DOI: None     Document Type: Article

References (10)

1. V. DE SILVA and R. GHRIST, Coordinate-free coverage in sensor networks with controlled boundaries via homology, to appear, Intl. J. Robotics Research.
2. _, Coverage in sensor networks via persistent homology, conditionally accepted for publication, Alg. & Geom. Top.
3. H. EDELSBRUNNER, D. LETSCHER, and A. ZOMORODIAN, Topological persistence and simplification, Discrete Comput. Geom. 28 (2002), 511-33.
4. D. ESTRIN, D. CULLER, K. PISTER, and G. SUKHATME, Connecting the physical world with pervasive networks, IEEE Pervasive Computing, 1(1) (2002), 59-69.
5. M. FARBER, Topological complexity of motion planning Discrete Comput. Geom. 29, no. 2, (2003), 211-21.
6. A. HATCHER, Algebraic Topology, Cambridge University Press, 2002.
7. T. KACZYNSKI, K. MISCHAIKOW, and M. MROZEK, Computational Homology, Applied Mathematical Sciences 157, Springer-Verlag, 2004.
8. H. KOSKINEN, On the coverage of a random sensor network in a bounded domain, Proceedings of 16th ITC Specialist Seminar, pp. 11-18, 2004.
9. L. VIETORIS, Über den höheren Zusammenhang kompakter Räume und eine Klasse von zusammenhangstreuen Abbildungen, Math. Ann. 97 (1927), 454-72.
10. A. ZOMORODIAN and G. CARLSSON, Computing Persistent Homology, Discrete Comput. Geom. 33 (2005), 249-74.