On P-partitions related to ordinal sums of posets

Authors:
Wei Gao;Qing-Hu Hou;Guoce Xin
Affiliations:
Center for Combinatorics, LPMC-TJKLC, Nankai University, Tianjin 300071, PR China;Center for Combinatorics, LPMC-TJKLC, Nankai University, Tianjin 300071, PR China;Center for Combinatorics, LPMC-TJKLC, Nankai University, Tianjin 300071, PR China
Venue:
European Journal of Combinatorics
Year:
2009

Citing 3
Cited 0

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Abstract

Using the inclusion-exclusion principle, we derive a formula of generating functions for P-partitions related to ordinal sums of posets. This formula simplifies computations for many variations of plane partitions, such as plane partition polygons and plane partitions with diagonals or double diagonals. We illustrate our method by several examples, some of which are new variations of plane partitions.