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Approximation and Heuristic Algorithms for Computing Backbones in Asymmetric Ad-Hoc Networks

2015/10/07 by Abu-Khzam, Faisal N., Markarian, Christine, der Heide, Friedhelm Meyer auf +1
#FOS: Computer and information sciences #Information Theory (cs.IT) #Networking and Internet Architecture (cs.NI)

paper · doi:10.48550/arxiv.1510.01866

Abstract

We consider the problem of dominating set-based virtual backbone used for routing in asymmetric wireless ad-hoc networks. These networks have non-uniform transmission ranges and are modeled using the well-established disk graphs. The corresponding graph theoretic problem seeks a strongly connected dominating-absorbent set of minimum cardinality in a digraph. A subset of nodes in a digraph is a strongly connected dominating-absorbent set if the subgraph induced by these nodes is strongly connected and each node in the graph is either in the set or has both an in-neighbor and an out-neighbor in it. Distributed algorithms for this problem are of practical significance due to the dynamic nature of ad-hoc networks. We present a first distributed approximation algorithm, with a constant approximation factor and O(Diam) running time, where Diam is the diameter of the graph. Moreover we present a simple heuristic algorithm and conduct an extensive simulation study showing that our heuristic outperforms previously known approaches for the problem.

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