A small virtual backbone which is modeled as the minimum connected dominating set (CDS) problem has been proposed to alleviate the broadcasting storm for efficiency in wireless ad hoc networks. In this paper, we consider a general fault tolerant CDS problem, called an h-connected distance k-dominating set (HCKDS) to balance high efficiency and fault tolerance, and study the upper bound for HCKDS with a probabilistic method for small h and improve the current best results. (C) 2009 Elsevier B.V. All rights reserved.
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Georgia State Univ, Dept Math & Stat, Atlanta, GA 30303 USAGeorgia State Univ, Dept Math & Stat, Atlanta, GA 30303 USA
Chen, Guantao
Chen, Yuan
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Wuhan Text Univ, Res Ctr Nonlinear Sci, Sch Math & Phys Sci, Wuhan 430073, Peoples R ChinaGeorgia State Univ, Dept Math & Stat, Atlanta, GA 30303 USA
Chen, Yuan
Hu, Zhiquan
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Cent China Normal Univ, Sch Math & Stat, Hubei Key Lab Math Sci, Wuhan 430079, Peoples R ChinaGeorgia State Univ, Dept Math & Stat, Atlanta, GA 30303 USA
Hu, Zhiquan
Zhang, Shunzhe
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Hubei Univ, Fac Math & Stat, Hubei Key Lab Appl Math, Wuhan 430062, Peoples R ChinaGeorgia State Univ, Dept Math & Stat, Atlanta, GA 30303 USA