Binomial enumeration on dissects-Reference-Cited by-同舟云学术

Binomial enumeration on dissects

Published:1975 Issue:0 Volume:202 Page:1-39
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Henle Michael

Abstract

The Mullin-Rota theory of binomial enumeration is generalized to an abstract context and applied to rook polynomials, order invariants of posets, Tutte invariants of combinatorial geometries, cycle indices and symmetric functions.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1975-202-00/S0002-9947-1975-0357133-8/S0002-9947-1975-0357133-8.pdf

Reference18 articles.

1. On the foundations of combinatorial theory. V. Eulerian differential operators;Andrews, George E.;Studies in Appl. Math.,1971

2. A decomposition for combinatorial geometries;Brylawski, Thomas H.;Trans. Amer. Math. Soc.,1972

3. On the foundations of combinatorial theory. VII. Symmetric functions through the theory of distribution and occupancy;Doubilet, Peter;Studies in Appl. Math.,1972

4. Differential operators associated with 𝑆-functions;Foulkes, H. O.;J. London Math. Soc.,1949

5. A. Garsia, An expose of the Mullin-Rota theory of polynomials of binomial type, J. Multilinear Algebra (1973).

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