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Mathematics > Combinatorics

arXiv:1806.05381 (math)
[Submitted on 14 Jun 2018 (v1), last revised 7 Sep 2018 (this version, v2)]

Title:A bijection between permutation matrices and descending plane partitions without special parts, which respects the quadruplet of statistics considered by Behrend, Di Francesco and Zinn--Justin

Authors:Markus Fulmek
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Abstract:We present a bijection between permutation matrices and descending plane partitions without special parts, which respects the quadruple of statistics considered by Behrend, Di Francesco and Zinn--Justin. This bijection involves the inversion words of permutations and the "usual" representation of descending plane partitions as families of non--intersec\-ting lattice paths.
Comments: arXiv admin note: text overlap with arXiv:1605.01227
Subjects: Combinatorics (math.CO)
MSC classes: 05A05, 05A19
Cite as: arXiv:1806.05381 [math.CO]
  (or arXiv:1806.05381v2 [math.CO] for this version)
  https://doi.org/10.48550/arXiv.1806.05381

Submission history

From: Markus Fulmek [view email]
[v1] Thu, 14 Jun 2018 06:27:25 UTC (17 KB)
[v2] Fri, 7 Sep 2018 08:45:55 UTC (20 KB)
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