Lattice stick numbers of small knots

Journal of Knot Theory and its Ramifications

Volumn 14, Issue 7, 2005, Pages 859-867

  Huh, Youngsik ^a   Oh, Seungsang ^b  

^a Hanyang University   (South Korea)

^b Korea University   (South Korea)

Author keywords

Cubic lattice; Knot; Stick number

Indexed keywords

EID: 27844539026     PISSN: 02182165     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218216505004160     Document Type: Article

References (6)

1. C. Adams, The Knot Book (W.H. Freedman & Co., New York, 1994).
2. C. C. Adams, B. M. Brennan, D. L. Greilsheimer and A. K. Woo, Stick numbers and composition of knots and links, J. Knot Theory Ramifications 6 (1997) 149-161.
3. Y. Diao, Minimal knotted polygons on the cubic lattice, J. Knot Theory Ramifications 2 (1993) 413-425.
4. Y. Diao, The number of smallest knots on the cubbic lattice, J. Stat. Phys. 74 (1994) 1247-1254.
5. S. Negami, Ramsey theorems for knots, links, and spatial graphs, Trans. Amer. Math. Soc. 324 (1991) 527-541.
6. R. Randell, An elementary invariant of knots, J. Knot Theory Ramifications 3 (1994) 279-286.