17 citations · 24 across the 9 of their papers we have counts for
18 papers · 1 filter
Signed Counting on Restricted Partitions and Combinatorial Proofs of Three Identities
Shishuo Fu, Chenwei Wang
Signed enumerations of l-regular partitions by the parity of the number of parts are known to correspond to partitions with congruence conditions. Inspired by the recent combinator…
Burstein's permutation conjecture, Hong and Li's inversion sequence conjecture, and restricted Eulerian distributions
Shane Chern, Shishuo Fu, Zhicong Lin
Recently, Hong and Li launched a systematic study of length-four pattern avoidance in inversion sequences, and in particular, they conjectured that the number of -avoiding in…
Combinatorial proofs and refinements of three partition theorems of Andrews
Shishuo Fu
In his recent work, Andrews revisited two-color partitions with certain restrictions on the differences between consecutive parts, and he established three theorems linking these t…
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…
-arrangements, statistics and patterns
Shishuo Fu, Guo-Niu Han, Zhicong Lin
The -arrangements are permutations whose fixed points are -colored. We prove enumerative results related to statistics and patterns on -arrangements, confirming several co…