A novel distributed MCDS approximation algorithm for wireless sensor networks

Since finding the minimum connected dominating set (MCDS) in an arbitrary graph is a NP-hard problem, many algorithms have been proposed to construct an approximation of the MCDS for efficient routing in wireless sensor networks (WSNs). To address the weaknesses of these existing algorithms, we propose a novel distributed MCDS approximation algorithm, CDS-HG, to construct the connected dominating set (CDS) for WSNs. This algorithm models a WSN as a hierarchical graph and uses a competition-based strategy to select nodes at a certain hierarchical level to route messages for nodes in the next level of the hierarchical graph. Formal analysis and simulation studies show that our CDS-HG algorithm generates smaller CDS sizes while requiring less communication overhead compared with the existing distributed MCDS approximation algorithms. Copyright # 2007 John Wiley & Sons, Ltd.

[1]  Hartmut Ehrig,et al.  Introduction to the Algebraic Theory of Graph Grammars (A Survey) , 1978, Graph-Grammars and Their Application to Computer Science and Biology.

[2]  Vaduvur Bharghavan,et al.  Routing in ad hoc networks using a spine , 1997, Proceedings of Sixth International Conference on Computer Communications and Networks.

[3]  Ding-Zhu Du,et al.  On greedy construction of connected dominating sets in wireless networks , 2005, Wirel. Commun. Mob. Comput..

[4]  Bernard Mans,et al.  Energy-Efficient Virtual Backbones for Reception-Aware MANET , 2006, 2006 IEEE 63rd Vehicular Technology Conference.

[5]  David S. Johnson,et al.  Approximation algorithms for combinatorial problems , 1973, STOC.

[6]  Laxmi Gewali,et al.  Interference Aware Dominating Set for Sensor Network , 2006, Third International Conference on Information Technology: New Generations (ITNG'06).

[7]  OPHIR FRIEDER,et al.  Maximal Independent Set, Weakly-Connected Dominating Set, and Induced Spanners in Wireless Ad Hoc Networks , 2003, Int. J. Found. Comput. Sci..

[8]  Xiang-Yang Li,et al.  Efficient distributed low-cost backbone formation for wireless networks , 2006, IEEE Transactions on Parallel and Distributed Systems.

[9]  Panos M. Pardalos,et al.  A New Heuristic for the Minimum Connected Dominating Set Problem on Ad Hoc Wireless Networks , 2004 .

[10]  Jie Wu,et al.  An extended localized algorithm for connected dominating set formation in ad hoc wireless networks , 2004, IEEE Transactions on Parallel and Distributed Systems.

[11]  Samir Khuller,et al.  Approximation Algorithms for Connected Dominating Sets , 1996, Algorithmica.

[12]  Bo Gao,et al.  A new distributed approximation algorithm for constructing minimum connected dominating set in wireless ad hoc networks , 2005, Int. J. Commun. Syst..

[13]  Mahtab Seddigh,et al.  Dominating Sets and Neighbor Elimination-Based Broadcasting Algorithms in Wireless Networks , 2002, IEEE Trans. Parallel Distributed Syst..