The umbral transfer-matrix method IV. Counting self-avoiding polygons and walks

Electronic Journal of Combinatorics

Volumn 8, Issue 1 R, 2001, Pages 1-17

  Zeilberger, Doron ^a  

^a Temple University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 3042685885     PISSN: 10778926     EISSN: None     Source Type: Journal    
DOI: 10.37236/1572     Document Type: Article

References (13)

1. [B] Mireille Bousquet-Mélou, Rapport Scientifique pour obtenir l'Habilatio à diriger des Recherches, available from http://dept-info. labri.u-bordeaux.fr/~bousquet/.
2. [BGE] R. Brak, A. J. Guttmann, and I. G. Enting, Exact solutions of the row-convex polygon perimeter generating function, J. Phys. A: Math. Gen., 23 (1990), 2319-2326.
3. [DV] M. -P. Delest and G. Viennot, Algebraic languages and polyomino enumeration, Theoretical Computer Science 34 (1984), 169-206.
4. [SP] N. J. A. Sloane and S. Plouffe, "The Encyclopedia of Integer Sequences", Academic Press, 1995.
5. [T] H. N. V. Temperley, Combinatorial problems suggested by the statistical mechanics of domains and rubber-like molecules, Physical Review 103 (1956), 1-16.
6. [Wa] M. S. Waterman, Secondary structures of single-stranded nucleic acids, in: "Studies in the Foundation of Combinatorics", v. 1, 167-212, 1978.
7. [Wi] Lauren K. Williams, Enumerating up-side self-avoiding walks on integer lattices (10pp), Electronic J. Combinatorics 3 (1996), R31.
8. [Z0] Doron Zeilberger, Symbol-Crunching with the Transfer-Matrix Method in Order to Count Skinny Physical Creatures, INTEGERS (http://www.integers- ejcnt.org), 0 A9 (29 pages) (2000).
9. [Z1] Doron Zeilberger, The Umbral Transfer-Matrix Method. I. Foundations, J. Comb. Theory Ser. A 91 (2000), 451-463. [Rota memorial issue].
10. [Z2] Doron Zeilberger, The Umbral Transfer-Matrix Method. II. Counting Plane Partitions, Personal Journal of Ekhad and Zeilberger, http://www.math. temple.edu/~zeilberg/pj.html.
11. [Z3] Doron Zeilberger, The Umbral Transfer-Matrix Method. III. Counting Animals, submitted. Available from http://www.math.temple.edu/~zeilberg/papers1. html.
12. [Z4] Doron Zeilberger, The Umbral Transfer-Matrix Method. IV. Counting Self-Avoiding Polygons and Walks, this article.
13. [Z5] Doron Zeilberger, The Umbral Transfer-Matrix Method. V. The Goulden-Jackson Cluster Method for Infinitely Many Mistakes, in preparation.