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math.CO2022
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…
math.CO2022
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…
math.AG2022
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…