Several Strategies to Compute the Minimum Stochastic Dominating Sets in Graphs

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Abstract:

On this paper, a simple introduction about the concept of the domination set in graphs and the research progress is presented. The definition of stochastic dominating set is introduced as well; We designed several strategies to compute the stochastic dominating set, and analyzed the domination rate using probability theory in the broadcasting model. These strategies have important theory value to solve network communication redundancy package problem.

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1221-1225

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August 2013

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© 2013 Trans Tech Publications Ltd. All Rights Reserved

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[1] T.J. Shi X.M. Fang, Virtual Backbone Network Construction Algorithm Based on Connected Dominating Set,. Computer Engineering, vol. 37, no. 1, pp.116-118, (2011).

Google Scholar

[2] D.Y. Li,D. Zh. Du,X. ZH. Cheng,X. Huang, Polynomial-time approximation scheme for minumun connected dominating set in ad hoc wireless networks. Manuscript, China, (2003).

DOI: 10.1002/net.10097

Google Scholar

[3] K. Wang J.G. Yu, Simple construction strategy for weakly connected dominating set in wireless networks,. Computer Engineering and Applications, vol. 47, no. 20, pp.81-84 , (2011).

Google Scholar

[4] S.G. Li, On connected k-domination numbers of graphs, Discrete Mathematics, vol. 274, pp.303-310, (2004).

DOI: 10.1016/s0012-365x(03)00203-6

Google Scholar

[5] J.M. Xu,F. Tian, Bounds for distance domination number of graphs, Manuscript, China, (2003).

Google Scholar

[6] F. Tian J.M. Xu, Distance irredundance and connected domination numbers of a graph, Manuscript, China, (2004).

Google Scholar

[7] Y.S. Wang W.W. Zhuang,T. ZH. Hu, Conditionally stochastic domination of generalized order statistics from two samples,. Statistical papers, no. 6, pp.369-373, (2010).

DOI: 10.1007/s00362-008-0194-4

Google Scholar

[8] X.F. Zhao, Heuristic Algorithm for Minimum Connected r-hop k-dominating Set, Computer Engineering, vol. 38, no. 21, pp.67-73, (2011).

Google Scholar

[9] H.B. Hunt III S.S. Ravi D.J. Rosenkrantz M.V. Marathe,H. Breu, Simple heuristics for unit disk graphs,. Proceedings of the 4th Canadian Conference on Computational Geometry, pp.244-249, August (1992).

DOI: 10.1002/net.3230250205

Google Scholar

[10] W. Teresa F.H. Haynes, Nordhaus-gaddum inequalities for domination in graphs., Discrete Mathematics, Vol. 155, pp.99-105, (1996).

DOI: 10.1016/0012-365x(94)00373-q

Google Scholar