A localized Delaunay triangulation owns the following interesting properties for sensor and wireless ad hoc networks: it can be built with localized information, the communication cost imposed by control information is limited, and it supports geographical routing algorithms that offer guaranteed convergence. This paper presents two localized algorithms, FLDT1 and FLDT2, that build a graph called planar localized Delaunay triangulation, PLDel, known to be a good spanner of the Unit Disk Graph, UDG. Our algorithms improve previous algorithms with similar theoretical bounds in the following aspects: unlike previous work, FLDT1 and FLDT2 build PLDel in a single communication step, maintaining a communication cost of O(n log n), which is within a constant of the optimal. Additionally, we show that FLDT1 is more robust than previous triangulation algorithms, because it does not require the strict UDG connectivity model to work. The small signaling cost of our algorithms allows us to improve routing performance, by effciently using the PLDel graph instead of sparser graphs, like the Gabriel or the Relative Neighborhood graphs.
Subject
Mobile Ad Hoc Networks
Journal
Wireless Networks, Vol. 15, #7, pp. 845-858, Springer Netherlands, October 2009
Delaunay triangulation as a new coverage measurement method in wireless sensor network http://www.mdpi.com/1424-8220/11/3/3163 H Chizari, M Hosseini, T Poston, SA Razak… Sensors 2011
Year 2010 : 1 citations
Communication-efficient construction of the plane localized delaunay graph http://link.springer.com/chapter/10.1007/978-3-642-12200-2_26 P Bose, P Carmi, M Smid, D Xu LATIN 2010: Theoretical Informatics 2010