The number of three-choice polygons

Mathematical and Computer Modelling

Volumn 26, Issue 8-10, 1997, Pages 51-58

  Conway, A ^a   Guttmann, A J ^a   Delest, M ^b  

^a UNIVERSITY OF MELBOURNE   (Australia)

^b UNIVERSITÉ DE BORDEAUX   (France)

Author keywords

Polygons; Series expansions

Indexed keywords

INTERPOLATION; MATHEMATICAL MODELS; MATHEMATICAL TRANSFORMATIONS; NUMERICAL ANALYSIS; POLYNOMIALS;

POLYNOMIAL TIME ENUMERATION METHOD; SERIES EXPANSION; THREE CHOICE POLYGONS;

GEOMETRY;

EID: 0031257407     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0895-7177(97)00199-4     Document Type: Conference Paper

References (12)

1. A.J. Guttmann, T. Prellberg and A.L. Owczarek, On the symmetry classes of planar self-avoiding walks, J. Phys. A: Math. Gen. 26, 6615-6623 (1993).
2. M.P. Delest and X.G. Viennot, Algebraic languages and polyominoes enumeration, Theoret. Comput. Sci. 34, 169-206 (1984).
3. S.S. Manna, Critical behaviour of anisotropic spiral self-avoiding walks, J. Phys. A: Math. Gen. 17, L899-903 (1984).
4. A.J. Guttmann and J.J. Wallace, Two-dimensional anisotropic spiral self-avoiding walks, J. Phys. A: Math. Gen. 19, 1645-1653 (1986).
5. S.G. Whittington, Anisotropic spiral self-avoiding walks, J. Phys. A: Math. Gen. 18, L67-69 (1985).
6. M. Delest, Algebraic languages: A bridge between combinatorics and computer science, DIMACS Series in Discrete Mathematics and Theoretical Computer Science 24, 71-88 (1996).
7. M.E. Fisher, Walks, walls, wetting and melting, J. Stat. Phys. 34, 667-729 (1984).
8. J.W. Essam and A.J. Guttmann, Vicious walkers and directed polymer networks in general dimension, Phys. Rev. E (1995) (to appear).
9. I.G. Enting, A.J. Guttmann, L.B. Richmond and N.C. Wormald, Enumeration of almost-convex polygons on the square lattice, Random Struct. and Alg. 3, 445-461 (1992).
10. A.J. Guttmann, Asymptotic analysis of coefficients, In Phase Transitions and Critical Phenomena, Volume 13, (Edited by C. Domb and J. Lebowitz), Academic Press, London, (1989).
11. K.Y. Lin, S.K. Ma, C.H. Kao and S.H. Chiu, Number of anisotropic spiral self-avoiding loops, J. Phys. A: Math. Gen. 20, 1881-1888 (1987).
12. P. Flajolet, Ambiguity and transcendence, Rapport INRIA 397 (1985).