2012
DOI: 10.1007/s11063-012-9255-8
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Using Laplacian Eigenmap as Heuristic Information to Solve Nonlinear Constraints Defined on a Graph and Its Application in Distributed Range-Free Localization of Wireless Sensor Networks

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Cited by 62 publications
(30 citation statements)
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“…By comparing (4,3,3,9,8,9,8,7,6,5), node updates its routing table as = (4, 3, 3, 5, 4, 3, 2, 2, 2, 2) and ℎ = ( , , , , , , , , , ), which in fact converges to minimum delays. When node receives the RMSG from node which contains two route entries (5, 7, 1, 4, 2) and (8, 8, 0, 2, 2), it derives ( ) = (8,7,6,5,4,3,3,3,10,9). Node compares ( ) with = (2, 2, 2, 2, 8, 7, 6, 5, 4, 3) and updates its routing table to = (2, 2, 2, 2, 4, 3, 3, 3, 4, 3) and ℎ = ( , , , , , , , , , ), which also converges to minimum delays.…”
Section: Algorithm Descriptionmentioning
confidence: 99%
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“…By comparing (4,3,3,9,8,9,8,7,6,5), node updates its routing table as = (4, 3, 3, 5, 4, 3, 2, 2, 2, 2) and ℎ = ( , , , , , , , , , ), which in fact converges to minimum delays. When node receives the RMSG from node which contains two route entries (5, 7, 1, 4, 2) and (8, 8, 0, 2, 2), it derives ( ) = (8,7,6,5,4,3,3,3,10,9). Node compares ( ) with = (2, 2, 2, 2, 8, 7, 6, 5, 4, 3) and updates its routing table to = (2, 2, 2, 2, 4, 3, 3, 3, 4, 3) and ℎ = ( , , , , , , , , , ), which also converges to minimum delays.…”
Section: Algorithm Descriptionmentioning
confidence: 99%
“…In Figure 1, assume the sink starts MDR algorithm at slot 1, and sends a RMSG with one route entry (1, 10, 0, 0, 0) to node at slot 1, and to node at slot 7, [5,10], node has to wait to the slot 1 in the next cycle when node works, which incurs a waiting delay of = + 1 − . The packet will be transmitted to node at slot 1 in the next cycle and then forwarded by node at slot 2, and thus, ( ) 5, 0, 8, 7), and then, it sends this RMSG to node at slot 3, to node at slot 4, and to node at slot 5, respectively.…”
Section: Algorithm Descriptionmentioning
confidence: 99%
“…(21) else (22) Remove B from B. of our approach. In particular, lower threshold guarantees to catch all wormhole nodes, but causes more false positives, which will increase the workload of refinement process.…”
Section: Outputmentioning
confidence: 99%
“…A wireless sensor network (WSN) enables its sensor nodes to localize themselves exploiting the node-to-node ranging, which is essential for its promising applications in different fields B Xinrong Zhang nn33@163.com Weili Xiong greenpre@163.com Baoguo Xu xbg@jiangnan.edu.cn 1 School of Internet of Things Engineering, JiangNan University, Wuxi 214122, China such as target tracking system, environmental monitoring network, vehicular networks and public safety applications [1][2][3]. The popularity and wide use of WSN are increasingly dependent on localization.…”
Section: Introductionmentioning
confidence: 99%