2 citations · 3 across the 4 of their papers we have counts for
6 papers
On toric ideals arising from signed graphs
JiSun Huh, Sangwook Kim, Boram Park
A signed graph is a pair of a graph and its sign , where a \textit{sign} is a function from to . Note that…
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…
Enumeration of Fuss-Schröder paths
Suhyung An, JiYoon Jung, Sangwook Kim
In this paper we enumerate the number of -Fuss-Schröder paths of type . Y. Park and S. Kim studied small Schröder paths with type . Generalizing the results to small…
Facial structures of lattice path matroid polytopes
Suhyung An, JiYoon Jung, Sangwook Kim
A lattice path matroid is a transversal matroid corresponding to a pair of lattice paths on the plane. A matroid base polytope is the polytope whose vertices are the incidence vect…
Flag enumerations of matroid base polytopes
Sangwook Kim
In this paper, we study flag structures of matroid base polytopes. We describe faces of matroid base polytopes in terms of matroid data, and give conditions for hyperplane splits o…
Shellable complexes and topology of diagonal arrangements
Sangwook Kim
We prove that if a simplicial complex is shellable, then the intersection lattice for the corresponding diagonal arrangement is homotopy equivalent to a wedge of spheres. Furthermo…