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 .
Cite this paper
M. Alegri, E. Brietzke, J. Santos and R. Silva, "Bijections between Lattice Paths and Plane Partitions," Open Journal of Discrete Mathematics, Vol. 1 No. 3, 2011, pp. 108-115. doi: 10.4236/ojdm.2011.13014.
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