Bao, Yueheng; Benveniste, Ari; Campisi, Marion; Cazet, Nicholas; Goh, Ansel; Liu, Jiantong; Sherman, Ethan Bounds in simple hexagonal lattice and classification of 11-stick knots. (English) Zbl 07814190 J. Knot Theory Ramifications 32, No. 14, Article ID 2350097, 25 p. (2023). MSC: 57K10 PDFBibTeX XMLCite \textit{Y. Bao} et al., J. Knot Theory Ramifications 32, No. 14, Article ID 2350097, 25 p. (2023; Zbl 07814190) Full Text: DOI arXiv
Hong, Kyungpyo; No, Sungjong; Oh, Seungsang Upper bound on lattice stick number of knots. (English) Zbl 1270.57022 Math. Proc. Camb. Philos. Soc. 155, No. 1, 173-179 (2013). MSC: 57M25 PDFBibTeX XMLCite \textit{K. Hong} et al., Math. Proc. Camb. Philos. Soc. 155, No. 1, 173--179 (2013; Zbl 1270.57022) Full Text: DOI arXiv
Velarde, Carlos; Bribiesca, Ernesto; Aguilar, Wendy An algorithm for generating a family of alternating knots. (English) Zbl 1239.57002 ISRN Algebra 2012, Article ID 804829, 12 p. (2012). MSC: 57-04 57M25 94B60 PDFBibTeX XMLCite \textit{C. Velarde} et al., ISRN Algebra 2012, Article ID 804829, 12 p. (2012; Zbl 1239.57002) Full Text: DOI
Janse van Rensburg, E. J.; Rechnitzer, A. Generalized atmospheric sampling of knotted polygons. (English) Zbl 1228.57007 J. Knot Theory Ramifications 20, No. 8, 1145-1171 (2011). Reviewer: Jonathan Hodgson (Philadelphia) MSC: 57M25 82B41 26D15 92B99 PDFBibTeX XMLCite \textit{E. J. Janse van Rensburg} and \textit{A. Rechnitzer}, J. Knot Theory Ramifications 20, No. 8, 1145--1171 (2011; Zbl 1228.57007) Full Text: DOI
Huh, Youngsik; Oh, Seungsang An upper bound on stick number of knots. (English) Zbl 1219.57010 J. Knot Theory Ramifications 20, No. 5, 741-747 (2011). MSC: 57M25 57M27 PDFBibTeX XMLCite \textit{Y. Huh} and \textit{S. Oh}, J. Knot Theory Ramifications 20, No. 5, 741--747 (2011; Zbl 1219.57010) Full Text: DOI arXiv
Bribiesca, Ernesto An easy and fast algorithm for obtaining minimal discrete knots. (English) Zbl 1099.57005 J. Knot Theory Ramifications 15, No. 5, 613-629 (2006). Reviewer: Jonathan Hodgson (Philadelphia) MSC: 57M25 PDFBibTeX XMLCite \textit{E. Bribiesca}, J. Knot Theory Ramifications 15, No. 5, 613--629 (2006; Zbl 1099.57005) Full Text: DOI
Huh, Youngsik; Oh, Seungsang Lattice stick numbers of small knots. (English) Zbl 1085.57005 J. Knot Theory Ramifications 14, No. 7, 859-867 (2005). Reviewer: Claus Ernst (Bowling Green) MSC: 57M25 57M27 PDFBibTeX XMLCite \textit{Y. Huh} and \textit{S. Oh}, J. Knot Theory Ramifications 14, No. 7, 859--867 (2005; Zbl 1085.57005) Full Text: DOI
Bribiesca, Ernesto A method for computing families of discrete knots using knot numbers. (English) Zbl 1080.57007 J. Knot Theory Ramifications 14, No. 4, 405-424 (2005). Reviewer: J. L. Ramirez Alfonsin (Paris) MSC: 57M25 PDFBibTeX XMLCite \textit{E. Bribiesca}, J. Knot Theory Ramifications 14, No. 4, 405--424 (2005; Zbl 1080.57007) Full Text: DOI
Diao, Yuanan The lower bounds of the lengths of thick knots. (English) Zbl 1028.57007 J. Knot Theory Ramifications 12, No. 1, 1-16 (2003). MSC: 57M25 58E10 PDFBibTeX XMLCite \textit{Y. Diao}, J. Knot Theory Ramifications 12, No. 1, 1--16 (2003; Zbl 1028.57007) Full Text: DOI
Bribiesca, Ernesto Discrete Knots. (English) Zbl 1027.57010 J. Knot Theory Ramifications 11, No. 8, 1307-1321 (2002). Reviewer: J.L.Ramirez Alfonsin (Paris) MSC: 57M25 PDFBibTeX XMLCite \textit{E. Bribiesca}, J. Knot Theory Ramifications 11, No. 8, 1307--1321 (2002; Zbl 1027.57010) Full Text: DOI
Janse van Rensburg, E. J.; Promislow, S. D. The curvature of lattice knots. (English) Zbl 0940.57013 J. Knot Theory Ramifications 8, No. 4, 463-490 (1999). MSC: 57M25 57M50 PDFBibTeX XMLCite \textit{E. J. Janse van Rensburg} and \textit{S. D. Promislow}, J. Knot Theory Ramifications 8, No. 4, 463--490 (1999; Zbl 0940.57013) Full Text: DOI