5 papers
Pre-assignment problem for unique minimum vertex cover on bounded clique-width graphs
Shinwoo An, Yeonsu Chang, Kyungjin Cho +4
Horiyama et al. (AAAI 2024) considered the problem of generating instances with a unique minimum vertex cover under certain conditions. The Minimum Pre-assignment for Uniquificatio…
An FPT algorithm for cycle rank on semi-complete digraphs
Seokbeom Kim, O-joung Kwon, Myounghwan Lee
Cycle rank is a depth parameter for digraphs introduced by Eggan in 1963. Gruber (DMTCS 2012) and Giannopoulou, Hunter, and Thilikos (DAM 2012) asked whether the problem of determi…
A new width parameter of graphs based on edge cuts: -edge-crossing width
Yeonsu Chang, O-joung Kwon, Myounghwan Lee
We introduce graph width parameters, called -edge-crossing width and edge-crossing width. These are defined in terms of the number of edges crossing a bag of a tree-cut decompo…
Unavoidable butterfly minors in digraphs of large cycle rank
Meike Hatzel, O-joung Kwon, Myounghwan Lee +1
Cycle rank is one of the depth parameters for digraphs introduced by Eggan in 1963. We show that there exists a function such that every digraph of cyc…
A characterization of graphs of radius- flip-width at most
Yeonsu Chang, Sejin Ko, O-joung Kwon +1
The -flip-width of a graph, for , is a graph parameter defined in terms of a variant of the cops and robber game, called the flipper game, and it…