15 citations · 52 across the 16 of their papers we have counts for
19 papers
On (102,000)-avoiding inversion sequences
Sangwook Kim, Seunghyun Seo, Heesung Shin
In this article, we study (102,000)-avoiding inversion sequences with a fixed number of distinct elements. By introducing simple H-paths, we derive the trivariate generating functi…
On 102-avoiding inversion sequences
JiSun Huh, Sangwook Kim, Seunghyun Seo +1
In this article, we provide a bijection between the set of inversion sequences avoiding the pattern 102 and the set of 2-Schröder paths having neither peaks nor valleys and ending…
Bijections on pattern avoiding inversion sequences and related objects
JiSun Huh, Sangwook Kim, Seunghyun Seo +1
The number of inversion sequences avoiding two patterns and is known to be the same as the number of permutations avoiding three patterns , , and . Th…
On Delannoy paths without peaks and valleys
Seunghyun Seo, Heesung Shin
A lattice path is called \emph{Delannoy} if its every step belongs to , where , , and steps. \emph{Peak}, \emph{valley}, and \em…
Index of seaweed algebras and integer partitions
Seunghyun Seo, Ae Ja Yee
The index of a Lie algebra is an important algebraic invariant. In 2000, Vladimir Dergachev and Alexandre Kirillov defined seaweed subalgebras of (or $\mathfrak{s…
Refined enumeration of vertices among all rooted ordered -trees
Sangwook Kim, Seunghyun Seo, Heesung Shin
In this paper we enumerate the cardinalities for the set of all vertices of outdegree at level among all rooted ordered -trees with edges. Our results uni…