• DocumentCode
    2136501
  • Title

    The number of spanning trees of planar maps: Theory and applications

  • Author

    Modabish, Abdulhafid ; Lotfi, Dounia ; El Marraki, M.

  • Author_Institution
    Dept. of Comput. Sci., Univ. of Mohamed V, Rabat, Morocco
  • fYear
    2011
  • fDate
    7-9 April 2011
  • Firstpage
    1
  • Lastpage
    6
  • Abstract
    The number of spanning trees of a map C is the total number of distinct spanning subgraphs of C that are trees. In this paper, we give some methods to facilitate the calculation of the number of spanning trees for planar maps and derive several simple formulas for the number of spanning trees of special families of maps called (n-Tent chains, n-Home chains, n-Kite chains, n-Envelope chains).
  • Keywords
    trees (mathematics); distinct spanning subgraph; n-envelope chains; n-home chains; n-kite chains; n-tent chains; planar maps; spanning trees; Complexity theory; Computer network reliability; Computers; Electronic mail; Equations; Reliability; Transforms; complexity; maps; n-Envelope chains; n-Home chains; n-Kite chains; n-Tent chains; spanning trees;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Multimedia Computing and Systems (ICMCS), 2011 International Conference on
  • Conference_Location
    Ouarzazate
  • ISSN
    Pending
  • Print_ISBN
    978-1-61284-730-6
  • Type

    conf

  • DOI
    10.1109/ICMCS.2011.5945739
  • Filename
    5945739