Self-conjugate partitions with the same disparity

Hyunsoo Cho, Ji Sun Huh, Jaebum Sohn

Research output: Contribution to journalArticlepeer-review


We give a bijection between the set of ordinary partitions and that of self-conjugate partitions with some restrictions. Also, we show the relationship between hook lengths of a self-conjugate partition and its corresponding partition via the bijection. As a corollary, we give new combinatorial interpretations for the Catalan number and the Motzkin number in terms of self-conjugate simultaneous core partitions.

Original languageEnglish
Article number111806
JournalDiscrete Mathematics
Issue number5
Publication statusPublished - 2020 May

Bibliographical note

Publisher Copyright:
© 2020 Elsevier B.V.

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Discrete Mathematics and Combinatorics


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