4 citations · 6 across the 9 of their papers we have counts for
11 papers
Polytopes with large transversal ratio
Michael Gene Dobbins, Seunghun Lee
The transversal ratio of a polytope is the minimum proportion of vertices of required to intersect each facet of . The weak chromatic number of is the minimum number…
On colorings of hypergraphs embeddable in
Seunghun Lee, Eran Nevo
The (weak) chromatic number of a hypergraph , denoted by , is the smallest number of colors required to color the vertices of so that no hyperedge of is monochroma…
Inscribable order types
Michael Gene Dobbins, Seunghun Lee
We call an order type inscribable if it is realized by a point configuration where the extreme points are all on a circle. In this paper, we investigate inscribability of order typ…
Transversals and colorings of simplicial spheres
Joseph Briggs, Michael Gene Dobbins, Seunghun Lee
Motivated from the surrounding property of a point set in introduced by Holmsen, Pach and Tverberg, we consider the transversal number and chromatic number of a simp…
Leray numbers of complexes of graphs with bounded matching number
Andreas F. Holmsen, Seunghun Lee
Given a graph on the vertex set , the non-matching complex of , , is the family of subgraphs whose matching number is strictly le…
The sandpile group of a trinity and a canonical definition for the planar Bernardi action
Tamás Kálmán, Seunghun Lee, Lilla Tóthmérész
Baker and Wang define the so-called Bernardi action of the sandpile group of a ribbon graph on the set of its spanning trees. This potentially depends on a fixed vertex of the grap…
On a conjecture of Karasev
Seunghun Lee, Kangmin Yoo
Karasev conjectured that for any set of lines in general position in the plane, which is partitioned into color classes of equal size , the set can be partitioned into…
Nerves, minors, and piercing numbers
Andreas F. Holmsen, Minki Kim, Seunghun Lee
We make the first step towards a "nerve theorem" for graphs. Let be a simple graph and let be a family of induced subgraphs of such that the intersection of a…
Orthogonal colorings of the sphere
Andreas F. Holmsen, Seunghun Lee
An orthogonal coloring of the two-dimensional unit sphere , is a partition of into parts such that no part contains a pair of orthogonal points, that i…
Cylinder, Tensor and Tensor-Closed Module
Seunghun Lee
The purpose of this note is to show that, if is a closed monoidal category, the following three notions are equivalent. (1) Category with -structure and…
Cylinders and paths in simplicial categories
Seunghun Lee
We prove the uniqueness, the functoriality and the naturality of cylinder objects and path objects in closed simplicial model categories.