• DocumentCode
    630520
  • Title

    Distributed dominating sets on grids

  • Author

    Fata, Elaheh ; Smith, Stephen L. ; Sundaram, Suresh

  • Author_Institution
    Dept. of Electr. & Comput. Eng., Univ. of Waterloo, Waterloo, ON, Canada
  • fYear
    2013
  • fDate
    17-19 June 2013
  • Firstpage
    211
  • Lastpage
    216
  • Abstract
    This paper presents a distributed algorithm for finding near optimal dominating sets on grids. The basis for this algorithm is an existing centralized algorithm that constructs dominating sets on grids. The size of the dominating set lprovided by this centralized algorithm is upper-bounded by ⌈(m+2)(n+2) over 5⌉ for m×n grids and its difference from the optimal domination number of the grid is upper-bounded by five. Both the centralized and distributed algorithms are generalized for the k-distance dominating set problem, where all grid vertices are within distance k of the vertices in the dominating set.
  • Keywords
    distributed algorithms; graph theory; set theory; centralized algorithm; distributed algorithm; distributed dominating sets; grid graph; grid vertices; k-distance dominating set problem; near optimal dominating sets; optimal domination number; Algorithm design and analysis; Clustering algorithms; Distributed algorithms; Greedy algorithms; Manganese; Robot sensing systems;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    American Control Conference (ACC), 2013
  • Conference_Location
    Washington, DC
  • ISSN
    0743-1619
  • Print_ISBN
    978-1-4799-0177-7
  • Type

    conf

  • DOI
    10.1109/ACC.2013.6579839
  • Filename
    6579839