A Transfer Matrix approach to the Enumeration of Colored Links

Journal of Knot Theory and its Ramifications

Volumn 10, Issue 8, 2001, Pages 1233-1267

  Jacobsen, J L ^a   Zinn Justin, P ^a  

^a UNIVERSITÉ PARIS SUD   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035729196     PISSN: 02182165     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218216501001426     Document Type: Article

References (25)

1. P. Di Francesco, E. Guitter and C. Kristjansen, Integrable 2D Lorentzian Gravity and Random Walks, Nucl. Phys. B 567 (2000) 515-553 (preprint hep-th/9907084).
2. I. Jensen, Enumerations of Plane Meanders (preprint cond-mat/9910313); A Transfer Matrix Approach to the Enumeration of Plane Meanders, J. Phys. A, to appear (preprint cond-mat/0008178).
3. I. Jensen, Enumerations of Plane Meanders (preprint cond-mat/9910313); A Transfer Matrix Approach to the Enumeration of Plane Meanders, J. Phys. A, to appear (preprint cond-mat/0008178).
4. P. Di Francesco, E. Guitter and J.L. Jacobsen, Exact Meander Asymptotics: a Numerical Check, Nucl. Phys. B 580 (2000) 757-795 (preprint cond-mat/0003008).
5. J. L. Jacobsen and P. Zinn-Justin, A Transfer Matrix approach to the Enumeration of Knots, math-ph/0102015.
6. C. Sundberg and M. Thistlethwaite, The rate of Growth of the Number of Prime Alternating Links and Tangles, Pac. J. Math. 182 (1998) 329-358.
7. P. Zinn-Justin and J.-B. Zuber, Matrix Integrals and the Counting of Tangles and Links, to appear in the proceedings of the 11th International Conference on Formal Power Series and Algebraic Combinatorics, Barcelona June 1999 (preprint math-ph/9904019).
8. P. Zinn-Justin and J.-B. Zuber, On the Counting of Colored Tangles, to appear in Journal of Knot Theory and its Ramifications (preprint math-ph/0002020).
9. W.W. Menasco and M.B. Thistlethwaite, The Tait Flyping Conjecture, Bull. Amer. Math. Soc. 25 (1991) 403-412; The Classification of Alternating Links, Ann. Math. 138 (1993) 113-171.
10. W.W. Menasco and M.B. Thistlethwaite, The Tait Flyping Conjecture, Bull. Amer. Math. Soc. 25 (1991) 403-412; The Classification of Alternating Links, Ann. Math. 138 (1993) 113-171.
11. P. Zinn-Justin, Some Matrix Integrals related to Knots and Links, to appear in the proceedings of the 1999 semester of the MSRI on Random Matrices (preprint math-ph/9910010).
12. P. Zinn-Justin, Application of the General O(n) Quartic Matrix Model to the Counting of Tangles and Links, work in progress.
13. V.A. Liskovets, Sequence A054499 in N.J.A. Sloane (red.), The On-Line Encyclopedia of Integer Sequences, published electronically at http://www.research.att.com/~njas/sequences/
14. R. Sedgewick, Algorithms in C (Addison-Wesley, 1990).
15. W.T. Tutte, A Census of Planar Maps, Can. J. Math. 15 (1963) 249-271.
16. E. Brézin, C. Itzykson, G. Parisi and J.-B. Zuber, Planar Diagrams, Commun. Math. Phys. 59 (1978) 35-51.
17. V.A. Kazakov and P. Zinn-Justin, Two-Matrix Model with ABAB Interaction, Nucl. Phys. B 546 (1999) 647 (preprint hep-th/9808043).
18. L. Takács, Enumeration of rooted trees and forests, Math. Scientist 18, 1-10 (1993).
19. V. G. Knizhnik, A. M. Polyakov and A. B. Zamolodchikov, Fractal structure of 2D quantum gravity, Mod. Phys. Lett. A 3, 819-826 (1988); F. David, Conformal field theories coupled to 2D gravity in the conformal gauge, Mod. Phys. Lett. A 3, 1651- 1656 (1988); J. Distler and H. Kawai, Conformal field theory and 2D quantum gravity, Nucl. Phys. B 321, 509 (1989).
20. V. G. Knizhnik, A. M. Polyakov and A. B. Zamolodchikov, Fractal structure of 2D quantum gravity, Mod. Phys. Lett. A 3, 819-826 (1988); F. David, Conformal field theories coupled to 2D gravity in the conformal gauge, Mod. Phys. Lett. A 3, 1651-1656 (1988); J. Distler and H. Kawai, Conformal field theory and 2D quantum gravity, Nucl. Phys. B 321, 509 (1989).
21. V. G. Knizhnik, A. M. Polyakov and A. B. Zamolodchikov, Fractal structure of 2D quantum gravity, Mod. Phys. Lett. A 3, 819-826 (1988); F. David, Conformal field theories coupled to 2D gravity in the conformal gauge, Mod. Phys. Lett. A 3, 1651- 1656 (1988); J. Distler and H. Kawai, Conformal field theory and 2D quantum gravity, Nucl. Phys. B 321, 509 (1989).
22. I.K. Kostov, Mod. Phys. Lett. A4 (1989), 217; M. Gaudin and I.K. Kostov, Phys. Lett. B220 (1989), 200; I.K. Kostov and M. Staudacher, Nucl. Phys. B 384 (1992), 459.
23. I.K. Kostov, Mod. Phys. Lett. A4 (1989), 217; M. Gaudin and I.K. Kostov, Phys. Lett. B220 (1989), 200; I.K. Kostov and M. Staudacher, Nucl. Phys. B 384 (1992), 459.
24. I.K. Kostov, Mod. Phys. Lett. A4 (1989), 217; M. Gaudin and I.K. Kostov, Phys. Lett. B220 (1989), 200; I.K. Kostov and M. Staudacher, Nucl. Phys. B 384 (1992), 459.
25. J. L. Jacobsen and P. Zinn-Justin, work in progress.