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:

    This, my first [bicycle] had an intrinsic beauty. And it opened for me an era of all but flying, which roads emptily crossing the airy, gold-gorsy Common enhanced. Nothing since has equalled that birdlike freedom.
    Elizabeth Bowen (1899–1973)

    God ... created a number of possibilities in case some of his prototypes failed—that is the meaning of evolution.
    Graham Greene (1904–1991)