12 citations · 13 across the 4 of their papers we have counts for
4 papers
A combinatorial bijection on -noncrossing partitions
Zhicong Lin, Dongsu Kim
For any integer , we prove combinatorially the following Euler (binomial) transformation identity $$ \NC_{n+1}^{(k)}(t)=t\sum_{i=0}^n{n\choose i}\NW_{i}^{(k)}(t), $$ where…
Refined restricted inversion sequences
Dongsu Kim, Zhicong Lin
Recently, the study of patterns in inversion sequences was initiated by Corteel-Martinez-Savage-Weselcouch and Mansour-Shattuck independently. Motivated by their works and a double…
A sextuple equidistribution arising in Pattern Avoidance
Zhicong Lin, Dongsu Kim
We construct an intriguing bijection between -avoiding inversion sequences and -avoiding permutations, which proves a sextuple equidistribution involving double E…
A combinatorial approach to the power of 2 in the number of involutions
Dongsu Kim, Jang Soo Kim
We provide a combinatorial approach to the largest power of in the number of permutations with , for a fixed prime number . With this approach, we find the larges…