Nontrivial embeddings of polygonal intervals and unknots in 3-space

Journal of Knot Theory and its Ramifications

Volumn 7, Issue 8, 1998, Pages 1027-1039

  Cantarella, Jason ^a   Johnston, Heather ^b  

^a UNIVERSITY OF PENNSYLVANIA   (United States)

^b RUTGERS UNIVERSITY   (United States)

Author keywords

Geometric knots; Polygonal knots; Space polygons

Indexed keywords

EID: 1542575510     PISSN: 02182165     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218216598000553     Document Type: Article

References (6)

1. R. Randell, A molecular conformation space, MATH/CHEM/COMP 1987, Studies in Physical and Theoretical Chemistry 54 (1988), 125-140.
2. K. Millett, Knotting of regular polygons in 3-space, 3. Knot Theory Ramifications 3 (1994), 263-278.
3. J. Simon, Energy functions for polygonal knots, J. Knot Theory Ramifications 3 (1994), 299-320.
4. Y. Diao, C. Ernst, E.J. Janse van Rensburg, In search of a good polygonal knot energy, J. Knot Theory Ramifications 6 (1997), 633-658.
5. D.W. Sumners and S.G. Whittington, Knots in self-avoiding walks, J. Phys. A: Math. Gen. 21 (1988), 1689-1694.
6. J.A. Calvo, The embedding space of hexagonal knots, preprint, (1998).