• DocumentCode
    2644913
  • Title

    Degree Distribution of Unit Disk Graphs with Uniformly Deployed Nodes on a Rectangular Surface

  • Author

    Ferrero, Renato ; Gandino, Filippo

  • Author_Institution
    Dipt. di Autom. ed Inf., Politec. di Torino, Turin, Italy
  • fYear
    2011
  • fDate
    26-28 Oct. 2011
  • Firstpage
    255
  • Lastpage
    262
  • Abstract
    Unit disk graphs are a simple model for wireless networks. This paper studies the degree distribution of unit disk graphs for uniformly randomly deployed nodes on rectangular surfaces. Several papers have proposed degree distributions approximating border effects. This paper presents a careful geometric analysis which is used to derive the probability mass function of the degree distribution and its mean. The analysis is validated through simulations which show the accuracy of the proposed distribution.
  • Keywords
    graph theory; wireless mesh networks; degree distribution; geometric analysis; rectangular surface; uniformly deployed nodes; unit disk graphs; wireless networks; Approximation methods; Artificial intelligence; Probability distribution; Tin; Wireless networks; Wireless sensor networks; Degree Distribution; Unit Disk Graph; Wireless Network Modeling;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Broadband and Wireless Computing, Communication and Applications (BWCCA), 2011 International Conference on
  • Conference_Location
    Barcelona
  • Print_ISBN
    978-1-4577-1455-9
  • Type

    conf

  • DOI
    10.1109/BWCCA.2011.38
  • Filename
    6103043