Greedy routing with guaranteed delivery using Ricci flows
Greedy forwarding with geographical locations in a wireless sensor network may fail at a local minimum. In this paper we propose to use conformal mapping to compute a new embedding of the sensor nodes in the plane such that greedy forwarding with the virtual coordinates guarantees delivery. In parti...
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| Vydané v: | 2009 International Conference on Information Processing in Sensor Networks s. 121 - 132 |
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| Hlavní autori: | , , , , |
| Médium: | Konferenčný príspevok.. |
| Jazyk: | English |
| Vydavateľské údaje: |
Washington, DC, USA
IEEE Computer Society
13.04.2009
IEEE |
| Edícia: | ACM Conferences |
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| ISBN: | 1424451086, 9781424451081 |
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| Abstract | Greedy forwarding with geographical locations in a wireless sensor network may fail at a local minimum. In this paper we propose to use conformal mapping to compute a new embedding of the sensor nodes in the plane such that greedy forwarding with the virtual coordinates guarantees delivery. In particular, we extract a planar triangulation of the sensor network with non-triangular faces as holes, by either using the nodes' location or using a landmark-based scheme without node location. The conformal map is computed with Ricci flow such that all the non-triangular faces are mapped to perfect circles. Thus greedy forwarding will never get stuck at an intermediate node. The computation of the conformal map and the virtual coordinates is performed at a preprocessing phase and can be implemented by local gossip-style computation. The method applies to both unit disk graph models and quasi-unit disk graph models. Simulation results are presented for these scenarios. |
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| AbstractList | Greedy forwarding with geographical locations in a wireless sensor network may fail at a local minimum. In this paper we propose to use conformal mapping to compute a new embedding of the sensor nodes in the plane such that greedy forwarding with the virtual coordinates guarantees delivery. In particular, we extract a planar triangulation of the sensor network with non-triangular faces as holes, by either using the nodes' location or using a landmark-based scheme without node location. The conformal map is computed with Ricci flow such that all the non-triangular faces are mapped to perfect circles. Thus greedy forwarding will never get stuck at an intermediate node. The computation of the conformal map and the virtual coordinates is performed at a preprocessing phase and can be implemented by local gossip-style computation. The method applies to both unit disk graph models and quasi-unit disk graph models. Simulation results are presented for these scenarios. |
| Author | Gao, Jie Gu, Xianfeng David Sarkar, Rik Yin, Xiaotian Luo, Feng |
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| Snippet | Greedy forwarding with geographical locations in a wireless sensor network may fail at a local minimum. In this paper we propose to use conformal mapping to... |
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| SubjectTerms | Accuracy Applied computing -- Physical sciences and engineering -- Mathematics and statistics Approximation algorithms Batteries Computing methodologies -- Modeling and simulation -- Simulation evaluation Conformal Mapping Greedy Forwarding Mathematics of computing -- Discrete mathematics Mathematics of computing -- Discrete mathematics -- Graph theory -- Graph algorithms Monitoring Networks -- Network protocols -- Network layer protocols -- Routing protocols Networks -- Network types Ricci Flow Road transportation Routing Scheduling algorithm Sensor Networks Sensor phenomena and characterization Telecommunication traffic Wireless sensor networks |
| Title | Greedy routing with guaranteed delivery using Ricci flows |
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