Open Journal of Discrete Mathematics

Volume 1, Issue 3 (October 2011)

ISSN Print: 2161-7635   ISSN Online: 2161-7643

Google-based Impact Factor: 0.64  Citations  

Bijections between Lattice Paths and Plane Partitions

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DOI: 10.4236/ojdm.2011.13014    5,865 Downloads   10,460 Views  Citations

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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 .

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Alegri, M. , Brietzke, E. , Santos, J. and Silva, R. (2011) Bijections between Lattice Paths and Plane Partitions. Open Journal of Discrete Mathematics, 1, 108-115. doi: 10.4236/ojdm.2011.13014.

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