Location via proxy:   [ UP ]  
[Report a bug]   [Manage cookies]                
skip to main content
research-article

The r-Neighborhood Graph: An Adjustable Structure for Topology Control in Wireless Ad Hoc Networks

Published: 01 April 2007 Publication History

Abstract

In wireless ad hoc networks, constructing and maintaining a topology with lower node degrees is usually intended to mitigate excessive traffic load on wireless nodes. However, keeping lower node degrees often prevents nodes from choosing better routes that consume less energy. Therefore, the trade-off is between the node degree and the energy efficiency. In this paper, an adjustable structure, named the r{\hbox{-}}{\rm neighborhood} graph, is proposed to control the topology. This structure has the flexibility to be adjusted between the two objectives through a parameter r, 0 \le r \le 1. More explicitly, for any set of n nodes, the maximum node degree and power stretch factor can be bounded from above by some decreasing and increasing functions of r, respectively. Specifically, the bounds can be constants in some ranges of r. Even more, the r{\hbox{-}}{\rm neighborhood} graph is a general structure of both RNG and GG, two well-known structures in topology control. Compared with YG_{k}, another famous adjustable structure, our method always results in a connected planar with symmetric edges. To construct this structure, we investigate a localized algorithm, named PLA, which consumes less transmitting power during construction and executes efficiently in O(n\log n) time.

References

[1]
P. Bose, J. Gudmundsson, and P. Morin, “Ordered Theta Graphs,” Proc. Canadian Conf. Computational Geometry, 2002.
[2]
P. Bose, P. Morin, I. Stojmenović, and J. Urrutia, “Routing with Guarantee Delivery in Ad Hoc Networks,” ACM/Kluwer Wireless Networks, vol. 7, no. 6, pp. 609-616, 2001.
[3]
P. Bose, L. Devroye, W. Evans, and D. Kirkpatrick, “On the Spanning Ratio of Gabriel Graphs and Beta-Skeletons,” SIAM J. Discrete Math., 2004.
[4]
I. Chlamtac, M. Conti, and J.N. Liu, “Mobile Ad Hoc Networking: Imperatives and Challenges,” Ad Hoc Networks, vol. 1, pp. 13-64, 2003.
[5]
L. Feeney, “An Energy-Consumption Model for Performance Analysis of Routing Protocols for Mobile Ad Hoc Networks,” ACM J. Mobile Networks and Applications, vol. 3, no. 6, pp. 239-249, 2001.
[6]
K.R. Gabriel and R.R. Sokal, “A New Statistical Approach to Geographic Variation Analysis,” Systematic Zoology, vol. 18, pp.259-278, 1969.
[7]
H.N. Gabow, J.L. Bently, and R.E. Tarjan, “Scaling and Related Techniques for Geometry Problems,” Proc. ACM Symp. Theory of Computing, pp. 135-143, 1984.
[8]
J. Geo, L.J. Guibas, J. Hershburger, L. Zhang, and A. Zhu, “Geometric Spanner for Routing in Mobile Networks,” Proc. ACM MobiHoc, 2001.
[9]
A.A.K. Jeng and R.H. Jan, “An Adjustable Structure for Topology Control in Wireless Ad Hoc Network,” Proc. 2005 Int'l Conf. Wireless Network Comm. and Mobile Computing, 2005.
[10]
J. Katajainen, “The Region Approach for Computing Relative Neighborhood Graphs in the Lp Metric,” Computing, vol. 40, pp.147-161, 1988.
[11]
B. Karp and H.T. Kung, “GPSR: Greedy Perimeter Stateless Routing for Wireless Networks,” Proc. MobiCom, 2000.
[12]
P. Klein, S. Rao, M. Rauch, and S. Subramanian, “Faster Shortest-Path Algorithms for Planar Graph,” Proc. Symp. Theory of Computing, 1994.
[13]
L.A. Latiff and N. Fisal, “Routing Protocols in Wireless Mobile AdHoc Networks—A Review,” Comm., vol. 2, pp. 600-604, 2003.
[14]
W.H. Lee and T.H. Meng, “A Lower Power GPS Receiver Architecture,” Proc. Global Telecomm. Conf., vol. 11, pp. 153-157, 1999.
[15]
X.Y. Li, P.J. Wan, and Y. Wang, “Power Efficient and Sparse Spanner for Wireless Ad Hoc Networks,” Proc. IEEE Int'l Conf. Computer Comm. and Networks, pp. 564-567, 2001.
[16]
X.Y. Li and P.J. Wan, “Constructing Minimum Energy Mobile Wireless Networks,” ACM SIGMOBILE Mobile Computing and Comm. Rev., vol. 5, pp. 55-67, 2001.
[17]
X.Y. Li, P.J. Wan, Y. Wang, and O. Frieder, “Sparse Power Efficient Topology for Wireless Networks,” Proc. 35th Ann. Hawaii Int'l Conf. System Sciences (HICSS '02), vol. 9, 2002.
[18]
X.Y. Li, G. Calinescu, P.J. Wan, and Y. Wang, “Localized Delaunay Triangulation with Application in Ad Hoc Wireless Networks,” IEEE Trans. Parallel and Distributed Systems, vol. 14, no. 10, pp.1035-1047, Oct. 2003.
[19]
X.Y. Li and Y. Wang, “Efficient Construction of Low Weight Bounded Degree Planar Spanner,” Int'l J. Computational Geometry and Applications, vol. 14, nos. 1-2, pp. 69-84, 2004.
[20]
L. Li and J.Y. Halpern, “Minimum-Energy Mobile Wireless Networks Revisited,” Proc. IEEE Int'l Conf. Comm. (ICC '01), 2001.
[21]
R. Prakash, “Unidirectional Links Prove Costly in Wireless Ad-Hoc Networks,” Proc. Third Int'l Workshop Discrete Algorithms and Methods for Mobile Computing and Comm. (DIAL-M), 1999.
[22]
F.P. Preparata and M.I. Shamos, Computational Geometry—An Introduction. Springer-Verlag, 1985.
[23]
R. Rajaraman, “Topology Control and Routing and Ad Hoc Network: A Survey,” ACM SIGACT, vol. 33, no. 2, 2002.
[24]
V. Rodoplu and T.H. Meng, “Minimum Energy Mobile Wireless Networks,” IEEE J. Selected Areas in Comm., vol. 17, no. 8, pp. 1333-1344, Aug. 1999.
[25]
W.Z. Song, Y. Wang, and X.Y. Li, “Energy Efficiency: Localized Algorithms for Energy Efficient Topology in Wireless Ad Hoc Networks,” Proc. Fifth ACM Int'l Symp. Mobile Ad Hoc Networking and Computing, 2004.
[26]
I. Stojmenovic and S. Datta, “Power and Cost Aware Localized Routing with Guaranteed Delivery in Wireless Networks,” Wireless Comm. and Mobile Computing, vol. 4, no. 2, pp. 175-188, 2004.
[27]
I. Stojmenovic and X. Lin, “Power-Aware Localized Routing in Wireless Networks,” IEEE Trans. Parallel and Distributed Systems, vol. 12, no. 11, pp. 1122-1133, 2001.
[28]
G.T. Toussaint, “The Relative Neighborhood Graph of a Finite Planar Set,” Pattern Recognition, vol. 12, no. 4, pp. 261-268, 1980.
[29]
Y. Wang and X.Y. Li, “Distributed Spanner with Bounded Degree for Wireless Ad Hoc Networks,” Int'l J. Foundations of Computer Science, vol. 14, pp. 183-200, 2003.
[30]
W. Wang, X.Y. Li, K. Moaveninejad, Y. Wang, and W.Z. Song, “The Spanning Ratios of Beta-Skeleton,” Proc. Canadian Conf. Computational Geometry (CCCG), 2003.
[31]
Y. Wang and X.Y. Li, “Localized Construction of Bounded Degree Planar Spanner for Wireless Ad Hoc Networks,” Proc. 2003 Joint Workshop Foundations of Mobile Computing, pp. 59-68, 2003.
[32]
R. Wattenhofer and A. Zollinger, “XTC: A Practical Topology Control for Ad-Hoc Networks,” Proc. 18th Parallel and Distributed Processing Symp., pp. 26-30, 2004.
[33]
A.C.C. Yao, “On Constructing Minimum Spanning Trees in k-Dimensional Spaces and Related Problems,” SIAM J. Computing, vol. 11, pp. 721-736, 1982.

Cited By

View all
  • (2016)On the construction of localised topology structures in wireless networksInternational Journal of Information and Communication Technology10.1504/IJICT.2016.0799589:4(408-419)Online publication date: 1-Jan-2016
  • (2015)Intelligent Cooperative Spectrum Sensing via Hierarchical Dirichlet Process in Cognitive Radio NetworksIEEE Journal on Selected Areas in Communications10.1109/JSAC.2014.236107533:5(771-787)Online publication date: 1-May-2015
  • (2015)A self-organized structure for mobility management in wireless networksComputers and Electrical Engineering10.1016/j.compeleceng.2015.09.02448:C(153-163)Online publication date: 1-Nov-2015
  • Show More Cited By

Recommendations

Comments

Information & Contributors

Information

Published In

cover image IEEE Transactions on Parallel and Distributed Systems
IEEE Transactions on Parallel and Distributed Systems  Volume 18, Issue 4
April 2007
144 pages

Publisher

IEEE Press

Publication History

Published: 01 April 2007

Author Tags

  1. Wireless ad hoc networks
  2. energy-efficient
  3. localized algorithm.
  4. topology control

Qualifiers

  • Research-article

Contributors

Other Metrics

Bibliometrics & Citations

Bibliometrics

Article Metrics

  • Downloads (Last 12 months)0
  • Downloads (Last 6 weeks)0
Reflects downloads up to 17 Feb 2025

Other Metrics

Citations

Cited By

View all
  • (2016)On the construction of localised topology structures in wireless networksInternational Journal of Information and Communication Technology10.1504/IJICT.2016.0799589:4(408-419)Online publication date: 1-Jan-2016
  • (2015)Intelligent Cooperative Spectrum Sensing via Hierarchical Dirichlet Process in Cognitive Radio NetworksIEEE Journal on Selected Areas in Communications10.1109/JSAC.2014.236107533:5(771-787)Online publication date: 1-May-2015
  • (2015)A self-organized structure for mobility management in wireless networksComputers and Electrical Engineering10.1016/j.compeleceng.2015.09.02448:C(153-163)Online publication date: 1-Nov-2015
  • (2015)SMARTComputer Networks: The International Journal of Computer and Telecommunications Networking10.1016/j.comnet.2015.08.01991:C(196-224)Online publication date: 14-Nov-2015
  • (2015)Joint network lifetime and delay optimization for topology control in heterogeneous wireless multi-hop networksComputer Communications10.1016/j.comcom.2015.01.00559:C(24-36)Online publication date: 15-Mar-2015
  • (2014)Clustering algorithms for Cognitive Radio networksJournal of Network and Computer Applications10.1016/j.jnca.2014.07.02045:C(79-95)Online publication date: 1-Oct-2014
  • (2009)TAPProceedings of the 2009 IEEE international conference on Communications10.5555/1817271.1817357(458-463)Online publication date: 14-Jun-2009
  • (2008)VCGGProceedings of the 5th International ICST Conference on Heterogeneous Networking for Quality, Reliability, Security and Robustness10.5555/1535571.1535599(1-7)Online publication date: 28-Jul-2008
  • (2008)A fair and energy-efficient topology control protocol for wireless sensor networksProceedings of the 2nd ACM international conference on Context-awareness for self-managing systems10.1145/1367943.1367944(6-15)Online publication date: 19-May-2008
  • (2007)An Adaptive Topology Control Scheme for Energy-efficient Routing in Mobile Ad Hoc NetworksProceedings of the 2007 IEEE Wireless Communications and Networking Conference10.1109/WCNC.2007.802(4401-4404)Online publication date: 1-Mar-2007

View Options

View options

Figures

Tables

Media

Share

Share

Share this Publication link

Share on social media