• Title of article

    On k-planar crossing numbers Original Research Article

  • Author/Authors

    Farhad Shahrokhi ، نويسنده , , Ondrej S?kora، نويسنده , , Peter L. Erd s and Laszlo A. Szekely، نويسنده , , Imrich Vrt’o، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2007
  • Pages
    10
  • From page
    1106
  • To page
    1115
  • Abstract
    The k-planar crossing number of a graph is the minimum number of crossings of its edges over all possible drawings of the graph in k planes. We propose algorithms and methods for k-planar drawings of general graphs together with lower bound techniques. We give exact results for the k-planar crossing number of image for image. We prove tight bounds for complete graphs. We also study the rectilinear k-planar crossing number.
  • Keywords
    Rectilinear k-planar crossing number , Complete graph , Complete bipartite graph , Lower bound , Crossing number , k-planar Crossing number
  • Journal title
    Discrete Applied Mathematics
  • Serial Year
    2007
  • Journal title
    Discrete Applied Mathematics
  • Record number

    886491