Two refined major-balance identities on 321-avoiding involutions

Sen Peng Eu, Tung Shan Fu, Yeh Jong Pan, Chien Tai Ting

研究成果: 雜誌貢獻文章

2 引文 斯高帕斯(Scopus)

摘要

Making use of a combinatorial approach, we prove two refined major-balance identities on the 321-avoiding involutions in Sn, respecting the number of fixed points and the number of descents, respectively. The former one is proved in terms of ordered trees whose non-root nodes have exactly two children, and the latter one is proved in terms of lattice paths within a ⌊n2⌋×⌈n2⌉ rectangle.

原文英語
頁(從 - 到)250-264
頁數15
期刊European Journal of Combinatorics
49
DOIs
出版狀態已發佈 - 2015 十月 1

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics

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