3 papers
math.CO2025
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…
math.CO2025
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…
math.CO2024
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…