Bijections between Lattice Paths and Plane Partitions

• 作者: Eduardo Henrique de Mattos Brietzke José Plínio de Oliveira Santos Mateus Alegri Robson da Silva
• 来源期刊: 离散数学期刊(英文)
• 学科: 数学
• 关键词: LATTICE PATHS PLANE PARTITIONS PARTITIONS q-Analog.
• 年，卷（期）: 2011,（3）
• 页码范围: 108-115
• 页数: 8页
• 分类号: O1

摘要

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 .