• DocumentCode
    2306545
  • Title

    NP-Completeness of the minimum edge-ranking spanning tree problem on series-parallel graphs

  • Author

    Arefin, A.S. ; Kashem Mia, M.A.

  • Author_Institution
    Inst. of Inf. & Commun. Technol., BUET, Dhaka
  • fYear
    2007
  • fDate
    27-29 Dec. 2007
  • Firstpage
    1
  • Lastpage
    4
  • Abstract
    The minimum edge-ranking spanning tree (MERST) problem on a graph is to find a spanning tree of G whose edge-ranking needs least number of ranks. Although polynomial-time algorithm to solve the minimum edge-ranking spanning tree problem on series-parallel graphs with bounded degrees has been found, but for the unbounded degrees no polynomial-time algorithm is known. In this paper, we prove that the minimum edge-ranking spanning tree problem on general series-parallel graph is NP-complete.
  • Keywords
    computational complexity; series (mathematics); trees (mathematics); MERST problem; NP-completeness; minimum edge-ranking spanning tree problem; polynomial-time algorithm; series-parallel graphs; Assembly; Communications technology; Labeling; Merging; Polynomials; Relational databases; Tree graphs; Algorithm; NP-Completeness; edge-ranking; series-parallel graph; spanning tree;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Computer and information technology, 2007. iccit 2007. 10th international conference on
  • Conference_Location
    Dhaka
  • Print_ISBN
    978-1-4244-1550-2
  • Electronic_ISBN
    978-1-4244-1551-9
  • Type

    conf

  • DOI
    10.1109/ICCITECHN.2007.4579371
  • Filename
    4579371