The knot crossing number of a knot is the least number of crossings that occur in any knot diagram of the knot. Knots are generally tabulated by crossing number.
Knot Crossing Number
See also
Crossing Number, Knot, Knot Diagram, Link Crossing NumberExplore with Wolfram|Alpha
References
Adams, C. C. The Knot Book: An Elementary Introduction to the Mathematical Theory of Knots. New York: W. H. Freeman, pp. 67-69, 1994.Hoste, J.; Thistlethwaite, M.; and Weeks, J. "The First
Knots." Math. Intell. 20, 33-48,
Fall 1998.
Cite this as:
Weisstein, Eric W. "Knot Crossing Number." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/KnotCrossingNumber.html