Thank you very much for your interest.

This is not a complete publication list, just some that are available online. This webpage is considerably out of date. Please check back in a few weeks.

Mobius Energy of Thick Knots (by G. Buck, E. Rawdon, and J. Simon) (pdf preprint)
Thickness and crossing number of knots (by G. Buck and J. Simon), Topology and its Applications 91, 1999, p. 245-257. (online Abstract and pdf Reprint)

An earlier pdf preprint of this paper is available on our server.

Thickness of knots (by R. Litherland, J. Simon, E. Rawdon, and O. Durumeric), Topology and its Applications 91, 1999, p. 233-244. (online Abstract and pdf Reprint)

An earlier pdf preprint of this paper is available on our server.

DESCRIPTION OF ITEMS BELOW (which have been available by anonymous ftp as of 1996).

Energy Functions for Knots: Beginning to Predict Physical Behavior (text and tables only; figures separate below)

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Figure 8

A complicated unknot (pdf file) that is an elaboration of an example suggested by M. Freedman. Wu's program MING succeeds in untangling this, as does Evolver. By combining Umd-energy minimizing flow with shrinking and eliminating edges, Wu has produced examples of tangled, but unknotted, polygons that appear to be local minima for Umd.

The same figure, postscript file.

Energy Functions for Polygonal Knots. (text only; figures not yet available on-line).

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