|
Counting Latin rectangles
Author(s):
Ira M.
Gessel
Journal:
Bull. Amer. Math. Soc.
16
(1987),
79-82.
MSC (1985):
Primary 05A15
MathSciNet review:
866019
Retrieve article in:
PDF
References |
Similar articles |
Additional information
References:
- 1.
- K. B. Athreya, C. R. Pranesachar, and N. M. Singhi, On the number of Latin rectangles and chromatic polynomials of L(K, European J. Combin. 1 (1980), 9-17. MR 576760
- 2.
- K. P. Bogart and J. Q. Longyear, Counting 3 by n Latin rectangles, Proc. Amer. Math. Soc. 54 (1976), 463-467. MR 389618
- 3.
- I. M. Gessel, Counting three-line Latin rectangles, Proc. Colloque de Combinatoire Énumérative, UQAM 1985, to be published. MR 927761
- 4.
- I. P. Goulden and D. M. Jackson, Combinatorial enumeration, Wiley, 1983. MR 702512
- 5.
- S. M. Jacob, The enumeration of the Latin rectangle of depth three by means of a formula of reduction, with other theorems relating to non-clashing substitutions and Latin squares, Proc. London Math. Soc. 31 (1930), 329-354.
- 6.
- S. M. Kerewala, The enumeration of the Latin rectangle of depth three by means of difference equations, Bull. Calcutta Math. Soc. 33 (1941), 119-127. MR 6991
- 7.
- L. Lipshitz, The diagonal of a D-finite power series is D-finite, J. Algebra (to appear). MR 929767
- 8.
- J. R. Nechvatal, Asymptotic enumeration of generalized Latin rectangles, Utilitas Math. 20 (1981), 273-292. MR 639893
- 9.
- R. Pranesachar, Enumeration of Latin rectangles via SDR's, Combinatorics and Graph Theory, (S. B. Rao, ed.), Lecture Notes in Math., vol. 885, Springer-Verlag, Berlin and New York, 1981, pp. 380-390. MR 655638
- 10.
- J. Riordan, Three-line Latin rectangles, Amer. Math. Monthly 51 (1944), 450-452. MR 11065
- 11.
- J. Riordan, Three-line Latin rectangles. II, Amer. Math. Monthly 53 (1946), 18-20. MR 14035
- 12.
- J. Riordan, An introduction to combinatorial analysis, Wiley, 1958. MR 96594
- 13.
- G.-C. Rota, On the foundations of combinatorial theory, I. Theory of Möbius functions, Z. Wahrsch. Verw. Gebiete 2 (1964), 340-368. MR 174487
- 14.
- M.-P. Schützenberger, Contributions aux applications statistiques de la théorie de l'information, Publ. Inst. Statist. Univ. Paris 3 (1954), 5-117. MR 77816
- 15.
- R. P. Stanley, Differentiably finite power series, European J. Combin. 1 (1980), 175-188. MR 587530
- 16.
- D. Zeilberger, Sister Celine's technique and its generalizations, J. Math. Anal. Appl. 85 (1982), 114-145. MR 647562
Similar Articles:
Retrieve articles in Bulletin of the American Mathematical Society
with MSC
(1985):
05A15
Retrieve articles in all Journals with MSC
(1985):
05A15
Additional Information:
DOI:
10.1090/S0273-0979-1987-15465-6
PII:
S 0273-0979(1987)15465-6
|