A better approximation algorithm for computing connected dominating sets in unit ball graphs

IEEE Transactions on Mobile Computing

Volumn 9, Issue 8, 2010, Pages 1108-1118

  Kim, Donghyun ^a   Zhang, Zhao ^b   Li, Xianyue ^c   Wang, Wei ^d   Wu, Weili ^a   Du, Ding Zhu ^a  

^a The University of Texas at Dallas   (United States)

^b XINJIANG UNIVERSITY   (China)

^c LANZHOU UNIVERSITY   (China)

^d XI'AN JIAOTONG UNIVERSITY   (China)

Author keywords

Connected dominating sets; Unit ball graphs; Virtual backbones; Wireless networks

Indexed keywords

CDS; CENTRALIZED ALGORITHMS; CONNECTED DOMINATING SET; DISTRIBUTED ALGORITHM; DISTRIBUTED ENVIRONMENTS; MINIMUM CONNECTED DOMINATING SET; PERFORMANCE RATIO; QUALITY FACTORS; TIME COMPLEXITY; UNIT BALL GRAPH; UNIT DISK GRAPHS; UPPER BOUND; VIRTUAL BACKBONE; VIRTUAL BACKBONES;

ABSTRACTING; AD HOC NETWORKS; COMPETITION; COMPUTATION THEORY; DATA STORAGE EQUIPMENT; GRAPHIC METHODS; MOBILE TELECOMMUNICATION SYSTEMS; SPHERES; TELECOMMUNICATION NETWORKS;

APPROXIMATION ALGORITHMS;

EID: 77953748234     PISSN: 15361233     EISSN: None     Source Type: Journal    
DOI: 10.1109/TMC.2010.55     Document Type: Article

References (20)

1. I.F. Akyildiz, W. Su, Y. Sankarasubramaniam, and E. Cayirci, "A Survey on Sensor Networks," IEEE Comm. Magazine, vol.40, pp. 102-114, Aug. 2002.
2. A. Ephremides, J. Wieselthier, and D. Baker, "A Design Concept for Reliable Mobile Radio Networks with Frequency Hopping Signaling," Proc. IEEE, vol.75, no.1, pp. 56-73, Jan. 1987.
3. S. Guha and S. Khuller, "Approximation Algorithms for Connected Dominating Sets," Algorithmica, vol.20, pp. 374-387, Apr. 1998.
4. P.-J. Wan, K.M. Alzoubi, and O. Frieder, "Distributed Construction of Connected Dominating Set in Wireless Ad Hoc Networks," Proc. IEEE INFOCOM, June 2002.
5. M. Cardei, X. Cheng, X. Cheng, and D.-Z. Du, "Connected Domination in Multihop Ad Hoc Wireless Networks," Proc. Int'l Conf. Computer Science and Informatics, Mar. 2002.
6. L. Ruan, H. Du, X. Jia, W. Wu, Y. Li, and K.I. Ko, "A Greedy Approximation for Minimum Connected Dominating Sets," J. Theoretical Computer Science, vol.329, pp. 325-330, Dec. 2004.
7. S. Butenko and O. Ursulenko, "On Minimum Connected Dominating Set Problem in Unit-Ball Graphs," Nov. 2007, submitted.
8. W. Wu, H. Du, X. Jia, Y. Li, and S. Huang, "Minimum Connected Dominating Sets and Maximal Independent Sets in Unit Disk Graphs," Theoretical Computer Science, vol.352, pp. 1-7, 2006.
9. Z. Zhang, X. Gao, W. Wu, and D. Du, "PTAS for Minimum Connected Dominating Set in Unit Ball Graph," Proc. Third Int'l Conf. Wireless Algorithms, Systems and Applications (WASA '08), Oct. 2008.
10. S. Funke, A. Kesselman, U. Meyer, and M. Segal, "A Simple Improved Distributed Algorithm for Minimum CDS in Unit Disk Graphs," ACM Trans. Sensor Network, vol.2, no.3, pp. 444-453, Aug. 2006.
11. M. Li, P.-J. Wan, and F. Yao, "Tighter Approximation Bounds for Minimum CDS in Wireless Ad Hoc Networks," Proc. 20th Int'l Symp. Algorithms and Computation (ISAAC '09), Dec. 2009.
12. B.N. Clark, C.J. Colbourn, and D.S. Johnson, "Unit Disk Graphs," Discrete Math., vol.86, pp. 165-177, Dec. 1990.
13. I.F. Akyildiz, D. Pompili, and T. Melodia, "Underwater Acoustic Sensor Networks: Research Challenges," J. Ad Hoc Network, vol.3, no.3, pp. 257-279, Mar. 2005. (Pubitemid 40266052)
14. X. Zhong, J. Wang, and N. Hu, "Connected Dominating Set in 3-Dimensional Space for Ad Hoc Network," Proc. IEEE Wireless Comm. and Networking Conf. (WCNC '07), Mar. 2007.
15. F. Zou, X. Li, D. Kim, and W. Wu, "Construction of Minimum Connected Dominating Set in 3-Dimensional Wireless Network," Proc. Third Int'l Conf. Wireless Algorithms, Systems and Applications (WASA '08), Oct. 2008.
16. C. Zong, Sphere Packings. Springer-Verlag, 1999.
17. J.C. Hansen and E. Schmutz, "Comparison of Two CDS Algorithms on Random Unit Ball Ggraphs," Proc. Seventh Workshop Algorithm Eng. and Experiments (ALENEX '05), Jan. 2005.
18. R. Hoppe, "Bemerkungen der Redaktion," Grunert Arch. Math. Phys., vol.56, pp. 307-312, 1874.
19. H. Huang, A.W. Richa, and M. Segal, "Approximation Algorithms for the Mobile Piercing Set Problem with Applications to Clustering in Ad-Hoc Networks," ACM Springer Mobile Networks and Applications (MONET), vol.9, no.2, pp. 151-161, 2004.
20. K.H. Rosen, Discrete Mathematics and Its Applications, fifth ed. McGraw-Hill Higher Education, 2003.