3 citations · 3 across the 5 of their papers we have counts for
6 papers
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…
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…
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…
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…