• DocumentCode
    1432196
  • Title

    Generation of trees, cotrees and 2-trees of a linear graph

  • Author

    Cahit, R. ; Cahit, I.

  • Author_Institution
    Turkish Industrial Market, Nicosia, Cyprus
  • Volume
    119
  • Issue
    9
  • fYear
    1972
  • fDate
    9/1/1972 12:00:00 AM
  • Firstpage
    1275
  • Lastpage
    1277
  • Abstract
    A new algorithm for finding all trees, cotrees and 2-trees in a connected linear graph is given. The procedure will not generate any duplication, redundancies or cancellation of terms. The method given is based only on the definition of tree, so that no complexity arises. Further, it is shown that, if a certain condition is satisfied by the graph, the 2-trees can be obtained directly from the trees that have been generated. An illustrative example on the algorithm is also given.
  • Keywords
    graph theory; trees (mathematics); 2-trees; cotrees; graph theory; linear graph; trees;
  • fLanguage
    English
  • Journal_Title
    Electrical Engineers, Proceedings of the Institution of
  • Publisher
    iet
  • ISSN
    0020-3270
  • Type

    jour

  • DOI
    10.1049/piee.1972.0247
  • Filename
    5251440