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Link


There are several different definition of link.

In knot theory, a link is one or more disjointly embedded circles in three-space. More informally, a link is an assembly of knots with mutual entanglements. Kuperberg (1994) has shown that a nontrivial knot or link in R^3 has four collinear points (Eppstein). Like knots, links can be decomposed into basic units known as prime links.

The term "link" is also used primarily by physicists to refer to a graph edge.


See also

Andrews-Curtis Link, Borromean Rings, Brunnian Link, Composite Link, Hopf Link, Knot, Oriented Link, Prime Link, Unlink, Whitehead Link Explore this topic in the MathWorld classroom

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References

Bar-Natan, D. "The Hoste-Thistlethwaite Link Table." http://www.math.toronto.edu/~drorbn/KAtlas/Links/.Cerf, C. "Atlas of Oriented Knots and Links." Topology Atlas Invited Contributions 3, No. 2, 1-32, 1998. http://at.yorku.ca/t/a/i/c/31.htm.Doll, H. and Hoste, J. "A Tabulation of Oriented Links." Math. Comput. 57, 747-761, 1991.Eppstein, D. "Colinear Points on Knots." http://www.ics.uci.edu/~eppstein/junkyard/knot-colinear.html.Kuperberg, G. "Quadrisecants of Knots and Links." J. Knot Theory Ramifications 3, 41-50, 1994.

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Link

Cite this as:

Weisstein, Eric W. "Link." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Link.html

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