Lattice invariants for knots
- York Univ., North York, Ontario (Canada)
The geometry of polygonal knots in the cubic lattice may be used to define some knot invariants. One such invariant is the minimal edge number, which is the minimum number of edges necessary (and sufficient) to construct a lattice knot of given type. In addition, one may also define the minimal (unfolded) surface number, and the minimal (unfolded) boundary number; these are the minimum number of 2-cells necessary to construct an unfolded lattice Seifert surface of a given knot type in the lattice, and the minimum number of edges necessary in a lattice knot to guarantee the existence of an unfolded lattice Seifert surface. In addition, I derive some relations amongst these invariants. 8 refs., 5 figs., 2 tabs.
- OSTI ID:
- 495286
- Report Number(s):
- CONF-9407205-Vol.82; TRN: 97:003313-0002
- Resource Relation:
- Conference: IMA summer program on molecular biology, Minneapolis, MN (United States), 5-29 Jul 1994; Other Information: PBD: 1996; Related Information: Is Part Of Mathematical approaches to biomolecular structure and dynamics; Mesirov, J.P. [ed.] [Boston Univ., MA (United States). Computer Science Dept.]; Sumners, D.W. [ed.] [Florida State Univ., Tallahassee, FL (United States). Dept. of Mathematics]; Schulten, K. [ed.] [Univ. of Illinois, Urbana, IL (United States)]; PB: 262 p.
- Country of Publication:
- United States
- Language:
- English
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