Strong Neighborhood Based Stable Connected Dominating Sets for Mobile Ad Hoc Networks

Part of the Advances in Intelligent Systems and Computing book series (volume 167)


We propose an algorithm to determine stable connected dominating sets (SN-CDS) for mobile ad hoc networks (MANETs) using the notion of a “strong neighborhood,” defined based on a “threshold neighborhood distance ratio” (TNDR ≤ 1). A node j at a physical Euclidean distance of r from node i is said to be in the strong neighborhood of node i if r/RTNDR where R is the fixed transmission range of all nodes in the network. A non-CDS node is said to be covered it at least one of its neighbor nodes is in the SN-CDS. The proposed algorithm prefers to include a covered node with the maximum number (≥ 1) of uncovered neighbors into the SN-CDS; ties are broken using node ids. The algorithm stops when every node is either in the SN-CDS or has at least one neighbor node in the SN-CDS. If TNDR = 1, then SN-CDS corresponds to the maximum-density based CDS (MaxD-CDS) algorithm, a heuristic to approximate a CDS with the minimum number of constituent nodes. We observe that an SN-CDS (with TNDR < 1) has a significantly longer lifetime than a MaxD-CDS and for a given condition of network density and node mobility, the difference in the lifetime increases as the value of TNDR decreases. The tradeoff is lower connectivity as well as a larger constituent node size and hop count per path.


Strong Neighborhood Connected Dominating Set Stability Mobile Ad hoc Networks Maximum Density Graph Theory Algorithm 


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© Springer-Verlag GmbH Berlin Heidelberg 2012

Authors and Affiliations

  1. 1.Jackson State UniversityJacksonUSA
  2. 2.Grambling State UniversityGramblingUSA

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