J. Kim

activity

20072026

most citedOn the f-vectors of Gelfand-Cetlin polytopes

26 citations · 87 across the 46 of their papers we have counts for

collaborators

Showing 2009 · math.COShow all

5 papers · 2 filters

math.CO2009★ 2 cited

New interpretations for noncrossing partitions of classical types

Jang Soo Kim

We interpret noncrossing partitions of type $B$ and type $D$ in terms of noncrossing partitions of type $A$ . As an application, we get type-preserving bijections between noncrossin…

math.CO2009

A note on the total number of cycles of even and odd permutations

Jang Soo Kim

We prove bijectively that the total number of cycles of all even permutations of $[n] = {1, 2, ..., n}$ and the total number of cycles of all odd permutations of $[n]$ differ by $(-1)…

math.CO2009★ 2 cited

Front representation of set partitions

Jang Soo Kim

Let $π$ be a set partition of $[n] = {1, 2, ..., n}$ . The standard representation of $π$ is the graph on the vertex set $[n]$ whose edges are the pairs $(i, j)$ of integers with $i < j$ …

math.CO2009

A combinatorial proof of a formula for Betti numbers of a stacked polytope

Suyoung Choi, Jang Soo Kim

For a simplicial complex $Δ$ , the graded Betti number $β_{i, j} (k [Δ])$ of the Stanley-Reisner ring $k [Δ]$ over a field $k$ has a combinatorial interpretation due to Hochster. Terai…

math.CO2009

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 $p$ in the number of permutations $π$ with $π^{p} = 1$ , for a fixed prime number $p$ . With this approach, we find the larges…