5 papers
Digraphs in which every vertices have exactly common out-neighbors
Myungho Choi, Hojin Chu, Suh-Ryung Kim
We say that a digraph is a -liking digraph if every vertices have exactly common out-neighbors. In 1975, PlesnÃk [Graphs with a homogeneity, 1975. {\it Glasnik Ma…
Competition graphs of degree bounded digraphs
Hojin Chu, Suh-Ryung Kim
If each vertex of an acyclic digraph has indegree at most and outdegree at most , then it is called an digraph, which was introduced by Hefner~{\it et al.}~(1991). W…
A digraph version of the Friendship Theorem
Myungho Choi, Hojin Chu, Suh-Ryung Kim
The Friendship Theorem states that if in a party any pair of persons has precisely one common friend, then there is always a person who is everybody's friend and the theorem has be…
Multipartite tournaments in which any two vertices have an -step common out-neighbor
Myungho Choi, Suh-Ryung Kim
We say that a digraph is -step competitive if any two vertices have an -step common out-neighbor in and that a graph is -step competitively orienta…
Extensions of results on phylogeny graphs of degree bounded digraphs
Myungho Choi, Suh-Ryung Kim
An acyclic digraph in which every vertex has indegree at most and outdegree at most is called an digraph for some positive integers and . The phylogeny graph…