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pro vyhledávání: '"Chen, Joanna N."'
We derive functional equations for distributions of six classical statistics (ascents, descents, left-to-right maxima, right-to-left maxima, left-to-right minima, and right-to-left minima) on separable and irreducible separable permutations. The equa
Externí odkaz:
http://arxiv.org/abs/2404.18517
Autor:
Chen, Joanna N., Lin, Zhicong
A bijection between $(31245,32145,31254,32154)$-avoiding permutations and $(31425,32415,31524,32514)$-avoiding permutations is constructed, which preserves five classical set-valued statistics. Combining with two codings of permutations due respectiv
Externí odkaz:
http://arxiv.org/abs/2211.06871
Autor:
Chen, Joanna N., Fu, Shishuo
Laguerre histories (restricted or not) are certain weighted Motzkin paths with two types of level steps. They are, on one hand, in natural bijection with the set of permutations, and on the other hand, yield combinatorial interpretations for the mome
Externí odkaz:
http://arxiv.org/abs/2208.11627
Autor:
Chen, Joanna N., Lin, Zhicong
The systematic study of inversion sequences avoiding triples of relations was initiated by Martinez and Savage. For a triple $(\rho_1,\rho_2,\rho_3)\in\{<,>,\leq,\geq,=,\neq,-\}^3$, they introduced $\I_n(\rho_1,\rho_2,\rho_3)$ as the set of inversion
Externí odkaz:
http://arxiv.org/abs/2112.04115
Autor:
Chen, Joanna N.
Permutation statistics $\wnm$ and $\rlm$ are both arising from permutation tableaux. $\wnm$ was introduced by Chen and Zhou, which was proved equally distributed with the number of unrestricted rows of a permutation tableau. While $\rlm$ is showed by
Externí odkaz:
http://arxiv.org/abs/2102.07299
Autor:
Chen, Joanna N., Lin, Zhicong
Publikováno v:
In Journal of Combinatorial Theory, Series A February 2024 202
Autor:
Chen, Joanna N., Fu, Shishuo
Publikováno v:
In Advances in Applied Mathematics October 2023 151
Autor:
Chen, Joanna N., Kitaev, Sergey
The notion of a 12-representable graph was introduced by Jones et al.. This notion generalizes the notions of the much studied permutation graphs and co-interval graphs. It is known that any 12-representable graph is a comparability graph, and also t
Externí odkaz:
http://arxiv.org/abs/1911.00408
Autor:
Chen, Joanna N., Lin, Zhicong
Publikováno v:
In Advances in Applied Mathematics February 2023 143
Autor:
Chen, Joanna N., Fu, Shishuo
The distribution of certain Mahonian statistic (called $\mathrm{BAST}$) introduced by Babson and Steingr\'{i}msson over the set of permutations that avoid vincular pattern $1\underline{32}$, is shown bijectively to match the distribution of major ind
Externí odkaz:
http://arxiv.org/abs/1810.06052