Distributed construction of connected dominating sets with minimum routing cost in wireless networks

Ling Ding, Xiaofeng Gao, Weili Wu, Wonjun Lee, Xu Zhu, Ding Zhu Du

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    63 Citations (Scopus)

    Abstract

    In this paper, we will study a special Connected Dominating Set (CDS) problem - between any two nodes in a network, there exists at least one shortest path, all of whose intermediate nodes should be included in a special CDS, named Minimum rOuting Cost CDS (MOC-CDS). Therefore, routing by MOC-CDS can guarantee that each routing path between any pair of nodes is also the shortest path in the network. Thus, energy consumption and delivery delay can be reduced greatly. CDS has been studied extensively in Unit Disk Graph (UDG) or Disk Graph (DG). However, nodes in networks may have different transmission ranges and some communications may be obstructed by obstacles. Therefore, we model network as a bidirectional general graph in this paper. We prove that constructing a minimum MOC-CDS in general graph is NP-hard. We also prove that there does not exist a polynomial-time approximation algorithm for constructing a minimum MOC-CDS with performance ratio ρlnδ, where ρ is an arbitrary positive number (ρ < 1) and δ is the maximum node degree in network. We propose a distributed heuristic algorithm (called as FlagContest) for constructing MOC-CDS with performance ratio (1 - ln2) + 2lnδ. Through extensive simulations, we show that the results of FlagContest is within the upper bound proved in this paper. Simulations also demonstrate that the average length of routing paths through MOC-CDS reduces greatly compared to regular CDSs.

    Original languageEnglish
    Title of host publicationICDCS 2010 - 2010 International Conference on Distributed Computing Systems
    Pages448-457
    Number of pages10
    DOIs
    Publication statusPublished - 2010
    Event30th IEEE International Conference on Distributed Computing Systems, ICDCS 2010 - Genova, Italy
    Duration: 2010 Jun 212010 Jun 25

    Publication series

    NameProceedings - International Conference on Distributed Computing Systems

    Other

    Other30th IEEE International Conference on Distributed Computing Systems, ICDCS 2010
    Country/TerritoryItaly
    CityGenova
    Period10/6/2110/6/25

    Keywords

    • Connected dominating set
    • General graph
    • NP-hard
    • Obstacle
    • Shortest path
    • Virtual backbones
    • Wireless network

    ASJC Scopus subject areas

    • Software
    • Hardware and Architecture
    • Computer Networks and Communications

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