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:

    Twenty men crossing a bridge,
    Into a village,
    Are twenty men crossing twenty bridges,
    Into twenty villages,
    Or one man
    Crossing a single bridge into a village.
    Wallace Stevens (1879–1955)

    A good marriage ... is a sweet association in life: full of constancy, trust, and an infinite number of useful and solid services and mutual obligations.
    Michel de Montaigne (1533–1592)