• Title of article

    Colorful monochromatic connectivity

  • Author/Authors

    Caro، نويسنده , , Yair and Yuster، نويسنده , , Raphael، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2011
  • Pages
    7
  • From page
    1786
  • To page
    1792
  • Abstract
    An edge-coloring of a connected graph is monochromatically-connecting if there is a monochromatic path joining any two vertices. How “colorful” can a monochromatically-connecting coloring be? Let m c ( G ) denote the maximum number of colors used in a monochromatically-connecting coloring of a graph G . We prove some nontrivial upper and lower bounds for m c ( G ) and relate it to other graph parameters such as the chromatic number, the connectivity, the maximum degree, and the diameter.
  • Keywords
    Coloring , monochromatic , connectivity
  • Journal title
    Discrete Mathematics
  • Serial Year
    2011
  • Journal title
    Discrete Mathematics
  • Record number

    1599684