• Title of article

    The Roberts characterization of proper and unit interval graphs

  • Author/Authors

    Frederic Gardi، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2007
  • Pages
    3
  • From page
    2906
  • To page
    2908
  • Abstract
    In this note, a constructive proof that the classes of proper interval graphs and unit interval graphs coincide is given, a result originally established by Fred S. Roberts. Additionally, the proof yields a linear-time and space algorithm to compute a unit interval representation, given a proper interval graph as input.
  • Keywords
    Proper interval graphs , Efficient representation , Characterizations , Constructive proof , Unit interval graphs
  • Journal title
    Discrete Mathematics
  • Serial Year
    2007
  • Journal title
    Discrete Mathematics
  • Record number

    947875