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Results on bar-core partitions, core shifted Young diagrams, and doubled distinct cores
- Title
- Results on bar-core partitions, core shifted Young diagrams, and doubled distinct cores
- Authors
- Cho H.; Huh J.; Nam H.; Sohn J.
- Ewha Authors
- 조현수
- SCOPUS Author ID
- 조현수
- Issue Date
- 2023
- Journal Title
- Discrete Mathematics
- ISSN
- 0012-365X
- Citation
- Discrete Mathematics vol. 346, no. 7
- Keywords
- Bar-core partitions; Core shifted young diagrams; Doubled distinct core partitions; Free Motzkin paths; Simultaneous core partitions
- Publisher
- Elsevier B.V.
- Indexed
- SCIE; SCOPUS
- Document Type
- Article
- Abstract
- Self-conjugate core partitions, bar-core partitions, core shifted Young diagrams (or CSYDs), and doubled distinct core partitions have been studied independently. In this paper, we show that doubled distinct cores and CSYDs are special cases of bar-core partitions. From this fact together with the abacus construction, we find path interpretations of bar-cores, CSYDs, and doubled distinct cores on (s,t)-cores and (s,s+d,s+2d)-cores, respectively. As a result, we get the number of these core partitions. © 2023 Elsevier B.V.
- DOI
- 10.1016/j.disc.2023.113387
- Appears in Collections:
- 연구기관 > 수리과학연구소 > Journal papers
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