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A matrix approach to the structure, enumeration, and applications of partially ordered sets
Gi-Sang Cheon, Hong Joon Choi, Gukwon Kwon +2
We present a matrix-theoretic approach for studying and enumerating finite posets through their incidence representations, referred to as poset matrices. Naturally labelled posets…
A combinatorial bijection on di-sk trees
Shishuo Fu, Zhicong Lin, Yaling Wang
A di-sk tree is a rooted binary tree whose nodes are labeled by or , and no node has the same label as its right child. The di-sk trees are in natural bijection w…
Refined Wilf-equivalences by Comtet statistics
Shishuo Fu, Zhicong Lin, Yaling Wang
We launch a systematic study of the refined Wilf-equivalences by the statistics and , where and are the number of…
Bijective recurrences concerning two Schröder triangles
Shishuo Fu, Yaling Wang
Let (resp. ) be the number of Schröder paths (resp. little Schröder paths) of length with hills, and set . We bijectively establish the f…