A bijective proof of Amdeberhan's conjecture on the number of (s, s+2)-core partitions with distinct parts. - Jineon Baek; Hayan Nam; Myungjun Yu (Discret. Math., 2018)

Johnson's bijections and their application to counting simultaneous core partitions. - Jineon Baek; Hayan Nam; Myungjun Yu (Eur. J. Comb., 2019)

Enumerating Parking Completions Using Join and Split. - Ayomikun Adeniran; Steve Butler; Galen Dorpalen-Barry; Pamela E. Harris; Cyrus Hettle; Qingzhong Liang; Jeremy L. Martin; Hayan Nam (Electron. J. Comb., 2020)

How to determine a partition up to conjugation using multisets of hook lengths. - Hayan Nam; Myungjun Yu (Discret. Math., 2020)

Combinatorics on Bounded Free Motzkin Paths and its Applications. - Hyunsoo Cho; JiSun Huh; Hayan Nam; Jaebum Sohn (Electron. J. Comb., 2023)

Results on bar-core partitions, core shifted Young diagrams, and doubled distinct cores. - Hyunsoo Cho; JiSun Huh; Hayan Nam; Jaebum Sohn (Discret. Math., 2023)

The Largest Size of $(t,t+d,t+2d)$-Core Partitions. - Hyunsoo Cho; Kyeongjun Lee; Hayan Nam (Electron. J. Comb., 2025)