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pro vyhledávání: '"Huh, JiSun"'
The number of inversion sequences avoiding two patterns $101$ and $102$ is known to be the same as the number of permutations avoiding three patterns $2341$, $2431$, and $3241$. This sequence also counts the number of Schr\"{o}der paths without tripl
Externí odkaz:
http://arxiv.org/abs/2404.04091
A \emph{Hessenberg Schubert variety} is the closure of a Schubert cell inside a given Hessenberg variety. We consider the smoothness of Hessenberg Schubert varieties of regular semisimple Hessenberg varieties of type $A$ in this paper. We use known c
Externí odkaz:
http://arxiv.org/abs/2307.13334
The identities which are in the literature often called ``bounded Littlewood identities" are determinantal formulas for the sum of Schur functions indexed by partitions with bounded height. They have interesting combinatorial consequences such as con
Externí odkaz:
http://arxiv.org/abs/2301.13117
In this paper, we construct a bijection from a set of bounded free Motzkin paths to a set of bounded Motzkin prefixes that induces a bijection from a set of bounded free Dyck paths to a set of bounded Dyck prefixes. We also give bijections between a
Externí odkaz:
http://arxiv.org/abs/2205.15554
Simultaneous bar-cores, core shifted Young diagrams (or CSYDs), and doubled distinct cores have been studied since Morris and Yaseen introduced the concept of bar-cores. In this paper, our goal is to give a formula for the number of these core partit
Externí odkaz:
http://arxiv.org/abs/2205.01894
Autor:
Huh, JiSun, Park, Seonjeong
A dissection of a polygon is obtained by drawing diagonals such that no two diagonals intersect in their interiors. In this paper, we define a toric variety of Schr\"{o}der type as a smooth toric variety associated with a polygon dissection. Toric va
Externí odkaz:
http://arxiv.org/abs/2204.00214
Publikováno v:
In International Dental Journal October 2024 74(5):1024-1032
Autor:
Cho, Hyunsoo, Huh, JiSun
A partition is called an $(s_1,s_2,\dots,s_p)$-core partition if it is simultaneously an $s_i$-core for all $i=1,2,\dots,p$. Simultaneous core partitions have been actively studied in various directions. In particular, researchers concerned with prop
Externí odkaz:
http://arxiv.org/abs/2004.03208
In this paper, we propose an $(s+d,d)$-abacus for $(s,s+d,\dots,s+pd)$-core partitions and establish a bijection between the $(s,s+d,\dots,s+pd)$-core partitions and the rational Motzkin paths of type $(s+d,-d)$. This result not only gives a lattice
Externí odkaz:
http://arxiv.org/abs/2001.06651
We investigate chromatic symmetric functions in the relation to the algebra $\Gamma$ of symmetric functions generated by Schur $Q$-functions. We construct natural bases of $\Gamma$ in terms of chromatic symmetric functions. We also consider the $p$-p
Externí odkaz:
http://arxiv.org/abs/1907.09722