|
|
|
|
Список литературы
|
|
| |
| 1. |
Дужин С.В., Комбинаторные аспекты теории инвариантов Васильева, дис. д-р физ.-мат. наук, С.-Петербургское отд. Мат. ин-та им. В.А. Стеклова РАН, Санкт-Петербург, 2011, 167 с. |
| 2. |
Магнус В., Каррас А., Солитэр Д., Комбинаторная теория групп, Наука, М., 1974, 455 с.  |
| 3. |
Стенли Р., Перечислительная комбинаторика, т. 2, Деревья, производящие функции и симметрические функции, Пер. с англ., Мир, М., 2009, 767 с. |
| 4. |
Adams C.C., The Knot Book: An elementary introduction to the mathematical theory of knots, W. H. Freeman, N. Y., 1994, 306 pp.  |
| 5. |
Belousov Yu.S., Malyutin A.V., “Estimates on the semi-meandric crossing number of classical knots”, Abstracts of The International Conference “Polynomial Computer Algebra”, 2017, 21–23 |
| 6. |
Belousov Yu.S., Program for processing Gaussian codes and codes for pre-diagrams [e-resource], 2017 URL:https:github.com/YuryBelousov/curves |
| 7. |
Burde G., Zieschang H., Knots, de Gruyter Studies in Mathematics, 5, 2nd ed., Walter de Gruyter & Co., Berlin, 2003, 559 pp. |
| 8. |
Hilton P.J., Pedersen J., “Catalan numbers, their generalization, and their uses”, Math. Intelligencer, 13:2 (1991), 64–75  |
| 9. |
Hopcroft J.E., Ullman J.D., Introduction to automata theory, languages, and computation, Addison-Wesley Publ. Co., Boston, 1979, 418 pp. |
| 10. |
Kauffman L.H., “State models and the Jones polynomial”, Topology, 26:3 (1987), 395–407 |
| 11. |
Menasco W., “Closed incompressible surfaces in alternating knot and link complements”, Topology, 23:1 (1984), 37–44 |
| 12. |
Menasco W., Thistlethwaite M., “The Tait flyping conjecture”, Bull. Amer. Math. Soc., 25:2 (1991), 403–412 |
| 13. |
Menasco W., Thistlethwaite M., “The classification of alternating links”, Ann. Math., 138:1 (1993), 113–171 |
| 14. |
Murasugi K., “The Jones polynomial and classical conjectures in knot theory”, Topology, 26:3 (1987), 187–194 |
| 15. |
Radovic L., Jablan S., “Meander knots and links”, Filomat, 29:10 (2015), 2381–2392 |
| 16. |
Rolfsen D., Knots and links, Publish or Perish Press, Berkeley, Calif., 1976, 439 pp. |
| 17. |
Thistlethwaite M.B., “A spanning tree expansion of the Jones polynomial”, Topology, 26:3 (1987), 297–309 |
