Seunghun Lee

collaborators

6 papers

math.CO2025

On an extension problem on the moment curve

Seunghun Lee, Eran Nevo

We show that for $2 \leq d \leq 4$ , every finite geometric simplicial complex $Δ$ in $R^{d}$ with vertices on the moment curve can be extended to a triangulation $T$ of the cycl…

math.CO2025

Colorful circuits and colorful topes in oriented matroids

Minho Cho, Seunghun Lee, Frédéric Meunier

We provide a short proof of a conic version of the colorful Carathéodory theorem for oriented matroids. Holmsen's extension of the colorful Carathéodory theorem to oriented matroid…

math.AG2024

Q-divisor and Ampleness

Seunghun Lee

We give two criteria for a divisor on complex smooth projective variety to be ample using the multiplier ideal sheaf and the model category.

math.CT2024

Homotopical presentation of categories

Seunghun Lee

We give a criterion for a functor $F:C\rightarrow B$ between small categories to generate a small presentation of the universal model category $U(B)$ in the sense of Dugger.

math.CO2024

The interval coloring impropriety of planar graphs

Seunghun Lee

For a graph $G$ , we call an edge coloring of $G$ an \textit{improper} \textit{interval edge coloring} if for every $v \in V (G)$ the colors, which are integers, of the edges incident…

math.CO2024

On conflict-free colorings of cyclic polytopes and the girth conjecture for graphs

Seunghun Lee, Shakhar Smorodinsky

We study the conflict-free chromatic number of hypergraphs derived from the family of facets of $d$ -dimensional cyclic polytopes with $n$ vertices. While in odd dimensions $d$ the…