4 papers · 1 filter
On the convergence of the graph sequence for a multipartite tournament
Ji-Hwan Jung, Suh-Ryung Kim, Hyesun Yoon
Given a positive integer , the -step competition graph of a digraph , denoted by , has the same vertex set as and has an edge between vertices and if a…
On the limit of the sequence for a multipartite tournament
Ji-Hwan Jung, Suh-Ryung Kim, Hyesun Yoon
For an integer , let be a Boolean block matrix with blocks for such that is a zero matrix and is a matrix with al…
On competition indices and periods of multipartite tournaments
Ji-Hwan Jung, Suh-Ryung Kim, Hyesun Yoon
In this paper, we compute competition indices and periods of multipartite tournaments. We first show that the competition period of an acyclic digraph is one and is a…
On -step competition graphs of bipartite tournaments
Soogang Eoh, Suh-Ryung Kim, Hyesun Yoon
In this paper, we completely characterize the -step competition graph of a bipartite tournament for any integer . In addition, we compute the competition index and the…