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math.CO2024
Competition-common enemy graphs of degree-bounded digraphs
Myungho Choi, Hojin Chu, Suh-Ryung Kim
The competition-common enemy graph (CCE graph) of a digraph is the graph with the vertex set and an edge if and only if and have a common predator and a com…
math.CO2024
Digraphs in which every vertices share exactly out-neighbors and exactly in-neighbors
Hojin Chu, Suh-Ryung Kim
In this paper, we introduce the notion of two-way -liking digraphs as a way to extend the results for generalized friendship graphs. A two-way -liking digraph is a di…
math.CO2024
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, Plesník [Graphs with a homogeneity, 1975. {\it Glasnik Mathe…