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.

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