9 citations · 14 across the 13 of their papers we have counts for
14 papers
Towards combinatorial characterization of the smoothness of Hessenberg Schubert varieties
Soojin Cho, JiSun Huh, Seonjeong Park
A \emph{Hessenberg Schubert variety} is an irreducible component of the intersection of a Schubert variety and a Hessenberg variety, defined as the closure of a Schubert cell inter…
Bounded Littlewood identities for cylindric Schur functions
JiSun Huh, Jang Soo Kim, Christian Krattenthaler +1
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 bounde…
Combinatorics on bounded free Motzkin paths and its applications
Hyunsoo Cho, JiSun Huh, Hayan Nam +1
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…
Results on bar-core partitions, core shifted Young diagrams, and doubled distinct cores
Hyunsoo Cho, JiSun Huh, Hayan Nam +1
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 pa…
Toric varieties of Schröder type
JiSun Huh, Seonjeong Park
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 Schröder type as a s…
Self-conjugate -core partitions and free rational Motzkin paths
Hyunsoo Cho, JiSun Huh
A partition is called an -core partition if it is simultaneously an -core for all . Simultaneous core partitions have been actively studied…
The -core partitions and the rational Motzkin paths
Hyunsoo Cho, JiSun Huh, Jaebum Sohn
In this paper, we propose an -abacus for -core partitions and establish a bijection between the -core partitions and the rational M…
An analogue of chromatic bases and -positivity of skew Schur -functions
Soojin Cho, JiSun Huh, Sun-Young Nam
We investigate chromatic symmetric functions in the relation to the algebra of symmetric functions generated by Schur -functions. We construct natural bases of in terms…
Counting self-conjugate (s,s+1,s+2)-core partitions
Hyunsoo Cho, JiSun Huh, Jaebum Sohn
We are concerned with counting self-conjugate -core partitions. A Motzkin path of length is a path from to which stays above the -axis and consi…
Melting lollipop chromatic quasisymmetric functions and Schur expansion of unicellular LLT polynomials
JiSun Huh, Sun-Young Nam, Meesue Yoo
In this work, we generalize and utilize the linear relations of LLT polynomials introduced by Lee \cite{Lee}. By using the fact that the chromatic quasisymmetric functions and the…
A bijection between self-conjugate and ordinary partitions and counting simultaneous cores as its application
Hyunsoo Cho, JiSun Huh, Jaebum Sohn
We give a bijection between the set of self-conjugate partitions and that of ordinary partitions. Also, we show the relation between hook lengths of self conjugate partition and co…
On toric ideals arising from signed graphs
JiSun Huh, Sangwook Kim, Boram Park
A signed graph is a pair of a graph and its sign , where a \textit{sign} is a function from to . Note that…
On -positivity and -unimodality of chromatic quasisymmetric functions
Soojin Cho, JiSun Huh
The -positivity conjecture and the -unimodality conjecture of chromatic quasisymmetric functions are proved for some classes of natural unit interval orders. Recently, J. Sha…
From partition identities to a combinatorial approach to explicit Satake inversion
Heekyoung Hahn, JiSun Huh, EunSung Lim +1
In this paper, we provide combinatorial proofs for certain partition identities which arise naturally in the context of Langlands' beyond endoscopy proposal. These partition identi…