Crossing Number

Crossing number may refer to:

  • Crossing number (knot theory) of a knot is the minimal number of crossings in any knot diagram for the knot.
    • The average crossing number is a variant of crossing number obtained from a three-dimensional embedding of a knot by averaging over all two-dimensional projections.
  • Crossing number (graph theory) of a graph is the minimal number of edge intersections in any planar representation of the graph.

Famous quotes containing the words crossing and/or number:

    Bodhidharma sailing the Yangtze on a reed
    Lenin in a sealed train through Germany
    Hsuan Tsang, crossing the Pamirs
    Joseph, Crazy Horse, living the last free
    starving high-country winter of their tribes.
    Surrender into freedom revolt into slavery—
    Gary Snyder (b. 1930)

    The world is so full of a number of things,
    I’m sure we should all be as happy as kings.
    Robert Louis Stevenson (1850–1894)