9 citations · 12 across the 9 of their papers we have counts for
9 papers
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…