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Large p-core p'-partitions and walks on the additive residue graph
https://oist.repo.nii.ac.jp/records/2861
https://oist.repo.nii.ac.jp/records/2861b68e216c-2b86-4dcf-a756-5fb6239d1d35
名前 / ファイル | ライセンス | アクション |
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p-core_pprime-partitions 2022-11 (341.0 kB)
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Item type | 学術雑誌論文 / Journal Article(1) | |||||
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公開日 | 2022-12-06 | |||||
タイトル | ||||||
言語 | en | |||||
タイトル | Large p-core p'-partitions and walks on the additive residue graph | |||||
言語 | ||||||
言語 | eng | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | Partitions | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | abaci | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | hook lengths | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | symmetric groups | |||||
資源タイプ | ||||||
資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||
資源タイプ | journal article | |||||
アクセス権 | ||||||
アクセス権 | open access | |||||
アクセス権URI | http://purl.org/coar/access_right/c_abf2 | |||||
著者(英) |
McDowell, Eoghan
× McDowell, Eoghan |
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書誌情報 |
en : Annals of Combinatorics 発行日 2022-11-24 |
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抄録 | ||||||
内容記述タイプ | Other | |||||
内容記述 | This paper investigates partitions which have neither parts nor hook lengths divisible by p, referred to as p-core p′-partitions. We show that the largest p-core p′-partition corresponds to the longest walk on a graph with vertices {0,1,…,p−1} and labelled edges defined via addition modulo p. We also exhibit an explicit family of large p-core p′-partitions, giving a lower bound on the size of the largest such partition which is of the same degree as the upper bound found by McSpirit and Ono. | |||||
出版者 | ||||||
出版者 | Springer Nature | |||||
ISSN | ||||||
収録物識別子タイプ | PISSN | |||||
収録物識別子 | 0218-0006 | |||||
ISSN | ||||||
収録物識別子タイプ | EISSN | |||||
収録物識別子 | 0219-3094 | |||||
DOI | ||||||
関連タイプ | isVersionOf | |||||
識別子タイプ | DOI | |||||
関連識別子 | info:doi/10.1007/s00026-022-00622-2 | |||||
権利 | ||||||
権利情報 | © 2022 The Author. | |||||
権利 | ||||||
権利情報 | This version of the article has been accepted for publication, after peer review (when applicable) and is subject to Springer Nature’s AM terms of use, but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: http://dx.doi.org/10.1007/s00026-022-00622-2 | |||||
関連サイト | ||||||
関連タイプ | isIdenticalTo | |||||
識別子タイプ | URI | |||||
関連識別子 | https://link.springer.com/article/10.1007/s00026-022-00622-2 | |||||
著者版フラグ | ||||||
出版タイプ | AM | |||||
出版タイプResource | http://purl.org/coar/version/c_ab4af688f83e57aa |