Enumeration of Algebraic Tangles with Applications to Theta- curves and Handcuff Graphs

키워드

참고문헌 (17)

1. C. C. Adams, "The Knot Book. An elementary introduction to the mathematical theory of knots" (1994), W. H. Freeman and Company, New York
2. A. Caudron, "Classification des n¾uds et des enlacements, Publications Mathématiques d'Orsay 82", Université de Paris-Sud Département de Mathématique Orsay, 4 (1982)
3. T. D. Cochran, "Invariants of tangles", Math. Proc. Cambridge. Philos. Soc, 105(2), pp.299~306 (1989)
4. J. H. Conway, "An enumeration of knots and links, and some of their algebraic prop-erties", pp.329~358 (1970), Computational Problems in Abstract Algebra (Proc. Conf. Oxford, 1967), Pergamon Press
5. T. Kanenobu, "Tangle surgeries on the double of a tangle and link polynomials", Kobe J. Math, 19(1-2), pp.1~19 (2002)
6. T, Kanenobu, "Polynomial invariants of 2-bridge knots through 22 crossings", Math. Comp, 60(202), pp.771-778~S17-S28 (1993)
7. T. Kanenobu, "Tangles with up to seven crossings", Proceedings of the Winter Workshop of Topology, Nara, 2001)., pp.2003, 통권 : 9(1)[DOI]
8. L. H. Kau®man, "State models and the Jones polynomial", Topology, 26(3), pp.395~407 (1987)
9. R. A. Litherland, "A table of all prime theta-curves in S3 up to 7 crossings" (1989), a let-ter
10. H. Moriuchi, "An enumeration of theta-curves with up to 7 crossings (in Japanese)", 석사, pp.2004
11. H. Moriuchi, "An enumeration of theta-curves with up to seven crossings", submitted
12. H. Moriuchi, "A table of handcu® graphs with up to seven crossings", OCAMI Studies 1 Knot theory for Science Objects (to appear)
13. K. Murasugi, "Knot Theory and Its Applications, Translated from the 1993 Japanese original by Bohdan Kurpita" (1996), BirkhÄauser Boston, Inc., Boston, MA
14. Y. Nakanishi, "Alexander invariants of links (in Japanese)", 석사, pp.1980
15. D. Rolfsen, "Knots and Links, Mathematics Lecture Series" (1976), No. 7. Publish or Perish, Inc., Berkeley, Calif
16. K. Wolcott, "The knotting of theta-curves and other graphs in S3, Geometry and topology (Athens, Ga., 1985)", Lecture Notes in Pure and Appl. Math. Dekker New York, 105, pp.325~346 (1987)
17. H. Yamano, "Classi¯cation of tangles of 7 crossings or less (in Japanese)", 석사, pp.2001

관련 논문AI추천