• DocumentCode
    1239073
  • Title

    A one-parameter genetic algorithm for the minimum labeling spanning tree problem

  • Author

    Xiong, Yupei ; Golden, Bruce ; Wasil, Edward

  • Author_Institution
    Dept. of Math., Univ. of Maryland, College Park, MD, USA
  • Volume
    9
  • Issue
    1
  • fYear
    2005
  • Firstpage
    55
  • Lastpage
    60
  • Abstract
    Given a connected, undirected graph G whose edges are labeled (or colored), the minimum labeling spanning tree (MLST) problem seeks a spanning tree on G with the minimum number of distinct labels (or colors). In recent work, the MLST problem has been shown to be NP-hard and an effective heuristic [maximum vertex covering algorithm (MVCA)] has been proposed and analyzed. We use a one-parameter genetic algorithm (GA) to solve the problem. In computational tests, the GA clearly outperforms MVCA.
  • Keywords
    computational complexity; genetic algorithms; trees (mathematics); NP hard problem; maximum vertex covering algorithm; minimum labeling spanning tree problem; one parameter genetic algorithm; undirected graph; Algorithm design and analysis; Communication networks; Frequency; Genetic algorithms; Labeling; Mathematics; Polynomials; Testing; Tree graphs;
  • fLanguage
    English
  • Journal_Title
    Evolutionary Computation, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1089-778X
  • Type

    jour

  • DOI
    10.1109/TEVC.2004.840145
  • Filename
    1395851