English

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

Networking and Internet Architecture 2015-10-08 v1 Information Theory math.IT

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.

Keywords

Cite

@article{arxiv.1510.01866,
  title  = {Approximation and Heuristic Algorithms for Computing Backbones in Asymmetric Ad-Hoc Networks},
  author = {Faisal N. Abu-Khzam and Christine Markarian and Friedhelm Meyer auf der Heide and Michael Schubert},
  journal= {arXiv preprint arXiv:1510.01866},
  year   = {2015}
}

Comments

17 pages, 6 figures

R2 v1 2026-06-22T11:14:37.287Z