Bulletin of the American Mathematical Society

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Book Information

Author(s): Richard P. Stanley
Title: Enumerative combinatorics, Volume 2
Additional book information: Cambridge University Press, Cambridge, 1999, xii+581, $74.95, 0-521-56069-1

1.: S. Abhyankar, Two notes on formal power series, Proc. Amer. Math. Soc. 7 (1956), 903-905. MR 18:277a
2.: D. André, Solution directe du problème résolu par M. Bertrand, C. R. Acad. Sci. Paris 105 (1887), 436-437
3.: F. Bergeron, G. Labelle, and P. Leroux, Combinatorial Species and Tree-like Structures, Cambridge University Press, 1998. MR 2000a:05008
4.: A. Cayley, A theorem on trees, Quart. J. Math. 23 (1889), 376-378.
5.: C. Chevalley, Introduction to the Theory of Algebraic Functions of One Variable, Amer. Math. Soc., Providence, 1951. MR 13:64a
6.: I. P. Goulden and D. M. Jackson, Combinatorial Enumeration, Wiley, New York, 1983. MR 84m:05002
7.: F. Harary and E. M. Palmer, Graphical Enumeration, Academic Press, New York, 1973. MR 50:9682
8.: I. G. Macdonald, Symmetric Functions and Hall Polynomials, second edition, Oxford University Press, Oxford, 1995. MR 96h:05207
9.: G. Pólya, Kombinatorische Anzahlbestimmungen für Gruppen, Graphen, un chemische Verbindungen, Acta Math. 68 (1937), 145-253.
10.: G. Pólya and R. C. Read, Combinatorial Enumeration of Groups, Graphs, and Chemical Compounds, Springer-Verlag, New York/Berlin, 1987. MR 89f:05013
11.: H. Prüfer, Neuer Beweis eines Satzes über Permutationen, Archiv für Mathematik und Physik 27 (1918), 142-144.
12.: C. Schensted, Longest increasing and decreasing subsequences, Canad. J. Math. 13 (1961), 179-191. MR 22:12047
13.: R. P. Stanley, Enumerative Combinatorics, Vol. 1, Wadsworth & Brooks/Cole, Monterey, 1986. MR 87j:05003
14.: D. Zeilberger, A proof of Julian West's conjecture that the number of two-stack-sortable permutations of length is $2(3n)!/((n+1)!\,(2n+1)!)$ , Discrete Math. 102 (1992), 85-93. MR 93c:05011

Reviewer(s):
Ira M. Gessel
Affiliation: Brandeis University
Email: gessel@brandeis.edu

MSC (2000): Primary 05A15, 05E05; Secondary 05A05, 05A10, 05E10
DOI: 10.1090/S0273-0979-01-00928-4
PII: S 0273-0979(01)00928-4
Posted: October 12, 2001
Copyright of article: Copyright 2001, American Mathematical Society

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ISSN 1088-9485(e) ISSN 0273-0979(p)

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