TITLE:
Bijections between Lattice Paths and Plane Partitions
AUTHORS:
Mateus Alegri, Eduardo Henrique de Mattos Brietzke, José Plínio de Oliveira Santos, Robson da Silva
KEYWORDS:
Lattice Paths, Plane Partitions, Partitions, q-Analog.
JOURNAL NAME:
Open Journal of Discrete Mathematics,
Vol.1 No.3,
October
17,
2011
ABSTRACT: By using lattice paths in the three-dimensional space we obtain bijectively an interpretation for the overpartitions of a positive integer n in terms of a set of plane partitions of n . We also exhibit two bijections between unrestricted partitions of n and different subsets of plane partitions of n .