Bridge Number

The least number of unknotted arcs lying above the plane in any projection. The knot 05-002 has bridge number 2. Such knots are called 2-bridge knots. There is a one-to-one correspondence between 2-bridge knots and rational knots. The knot 08-010 is a 3-bridge knot. A knot with bridge number b is an n-embeddable knot where n<=b.

See also

Bridge Index

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Adams, C. C. The Knot Book: An Elementary Introduction to the Mathematical Theory of Knots. New York: W. H. Freeman, pp. 64-67, 1994.Rolfsen, D. Knots and Links. Wilmington, DE: Publish or Perish Press, p. 115, 1976.

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Bridge Number

Cite this as:

Weisstein, Eric W. "Bridge Number." From MathWorld--A Wolfram Web Resource.

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