• DocumentCode
    1163069
  • Title

    The Existence of a Hamilton Circuit in a Tree Graph

  • Author

    Kamae, Takahiko

  • Volume
    14
  • Issue
    3
  • fYear
    1967
  • fDate
    9/1/1967 12:00:00 AM
  • Firstpage
    279
  • Lastpage
    283
  • Abstract
    The existence of a Hamilton circuit in a tree graph was first proved by Cummins.[1] However, his proof is hard to apply to the generation of all the trees in a given graph. A new proof is given in this paper; it is straightforward and concise, and also constructive and applicable to the tree generation. The outline of a tree generation procedure is shown.
  • Keywords
    Graph theory; Hamilton circuit existence proof; Topological methods; Tree-generation procedures; Circuits; Communication switching; Contracts; Helium; IEL; Transfer functions; Tree graphs;
  • fLanguage
    English
  • Journal_Title
    Circuit Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9324
  • Type

    jour

  • DOI
    10.1109/TCT.1967.1082707
  • Filename
    1082707