Network sketching or: "How much geometry hides in connectivity? - Part II"

Proceedings of the Annual ACM-SIAM Symposium on Discrete Algorithms

Volumn 07-09-January-2007, Issue , 2007, Pages 958-967

  Funke, Stefan ^a   Milosavljevic, Nikola ^b  

^a MAX PLANCK INSTITUTE FOR INFORMATICS   (Germany)

^b Stanford University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTATIONAL GEOMETRY; GEOMETRY; GRAPH THEORY; SENSOR NODES; TOPOLOGY;

COMMUNICATION GRAPHS; CONNECTIVITY STRUCTURES; GEOGRAPHIC LOCATION; GEOMETRY INFORMATION; POSITIONING DEVICES; TOPOLOGICAL FEATURES; UNIT DISK GRAPHS; VIRTUAL COORDINATES;

WIRELESS SENSOR NETWORKS;

EID: 84969244029     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (18)

1. Jehoshua Bruck, Jie Gao, and Anxiao (Andrew) Jiang. Localization and routing in sensor networks by local angle information. In MobiHoc '05: Proceedings of the 6th ACM international symposium on Mobile ad hoc networking and computing, pages 181-192, New York, NY, USA, 2005. ACM Press.
2. Vin de Silva and Gunnar Carlsson. Topological estimation using witness complexes. In Symposium on Point-Based Graphics, June 2004.
3. Vin de Silva and Robert Ghrist. Coordinate-free coverage in sensor networks with controlled boundaries via homology. International Journal of Robotics Research, December 2006. to appear.
4. Martin Erwig. The graph voronoi diagram with applications. Networks, 36(3):156-163, 2000.
5. S. P. Fekete, A. Kröller, D. Pfisterer, and S. Fischer. Deterministic boundary recognition and topology extraction for large sensor networks. In Proc. of SODA, 2006.
6. S. P. Fekete, A. Kröller, D. Pfisterer, S. Fischer, and C. Buschmann. Neighborhood-based topology recognition in sensor networks. In ALGOSENSORS, 2004.
7. Stefan Funke and Christian Klein. Hole detection or: "how much geometry hides in connectivity?". In SCG '06: Proceedings of the twenty-second annual symposium on Computational geometry, pages 377-385, New York, NY, USA, 2006. ACM Press.
8. B. Karp and H. T. Kung. GPSR: greedy perimeter stateless routing for wireless networks. In Mobile Computing and Networking, pages 243-254, 2000.
9. F. Kuhn, T. Moscibroda, and R. Wattenhofer. Unit disk graph approximation. In Workshop on Discrete Algorithms and Methods for Mobile Computing and Communications (DIAL-M), 2004.
10. Fabian Kuhn and Aaron Zollinger. Ad-hoc networks beyond unit disk graphs. In Proc. DIALM-POMC, pages 69-78, 2003.
11. M.F. Cox and M.A.A. Cox. Multidimensional Scaling. Chapman and Hall, 2001.
12. T. Moscibroda, R. O'Dell, M. Wattenhofer, and R. Wattenhofer. Virtual coordinates for ad hoc and sensor networks, 2004.
13. Ilan Newman and Yuri Rabinovich. A lower bound on the distortion of embedding planar metrics into euclidean space. In SCG '02: Proceedings of the eighteenth annual symposium on Computational geometry, pages 94-96, New York, NY, USA, 2002. ACM Press.
14. L. Guibas, Q. Fang, J. Gao, V. de Silva, and L. Zhang. GLIDER: Gradient landmark-based distributed routing for sensor networks. In 24rd Conf. of the IEEE Communications Society (INFOCOM), 2005.
15. A. Rao, S. Ratnasamy, C. Papadimitriou, S. Shenker, and I. Stoica. Geographic routing without location information. In Proc. MobiCom, 2003.
16. Satish Rao. Small distortion and volume preserving embeddings for planar and euclidean metrics. In SCG '99: Proceedings of the fifteenth annual symposium on Computational geometry, pages 300-306, New York, NY, USA, 1999. ACM Press.
17. Josh Tenenbaum, Vin de Silva, and John Langford. A global geometric framework for nonlinear dimensionality reduction. Science, (290):2319-2323, 200.
18. Yue Wang, Jie Gao, and Joseph S. B. Mitchell. Boundary recognition in sensor networks by topological methods. In Proc. of the ACM/IEEE International Conference on Mobile Computing and Networking (Mobi-Com), September 2006.