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 is the Night Mail crossing the Border,
    Bringing the cheque and the postal order,
    Letters for the rich, letters for the poor,
    The shop at the corner, the girl next door.
    —W.H. (Wystan Hugh)

    How often should a woman be pregnant? Continually, or hardly ever? Or must there be a certain number of pregnancy anniversaries established by fashion? What do you, at the age of forty-three, have to say on the subject? Is it a fact that the laws of nature, or of the country, or of propriety, have ordained this time of life for sterility?
    Philip Dormer Stanhope, 4th Earl Chesterfield (1694–1773)