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Cayley compositions, partitions, polytopes, and geometric bijections

  • Published:2014-04 Issue:1 Volume:123 Page:86-91
  • ISSN:0097-3165
  • Container-title:Journal of Combinatorial Theory, Series A
  • language:en
  • Short-container-title:Journal of Combinatorial Theory, Series A

Author:

Konvalinka MatjažORCID,Pak Igor

Funder

United States-Israel Binational Science Foundation

Javna Agencija za Raziskovalno Dejavnost RS

National Science Foundation

Publisher

Elsevier BV

Subject

Computational Theory and Mathematics,Discrete Mathematics and Combinatorics,Theoretical Computer Science

Reference26 articles.

1. MacMahonʼs partition analysis. I. The lecture hall partition theorem;Andrews,1998

2. MacMahonʼs partition analysis. V. Bijections, recursions, and magic squares;Andrews,2001

3. Integer Points in Polyhedra;Barvinok,2008

4. Mahonian partition identities via polyhedral geometry;Beck,2013

5. Lecture hall partitions;Bousquet-Mélou;Ramanujan J.,1997

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1. Persistence for a class of order-one autoregressive processes and Mallows-Riordan polynomials;Advances in Applied Mathematics;2023-09

2. Number of Vertices of the Polytope of Integer Partitions and Factorization of the Partitioned Number;Experimental Mathematics;2021-10-22

3. Parity representations of posets;Discrete Mathematics;2021-08

4. On Piecewise-Linear Homeomorphisms Between Distributive and Anti-blocking Polyhedra;Combinatorial Structures in Algebra and Geometry;2020

5. Limit Shapes via Bijections;Combinatorics, Probability and Computing;2018-08-02
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