4 papers · 1 filter
Sparse Outerstring Graphs Have Logarithmic Treewidth
Shinwoo An, Eunjin Oh, Jie Xue
An outerstring graph is the intersection graph of curves lying inside a disk with one endpoint on the boundary of the disk. We show that an outerstring graph with vertices has…
Faster Algorithms for Cycle Hitting Problems on Disk Graphs
Shinwoo An, Kyungjin Cho, Eunjin Oh
In this paper, we consider three hitting problems on a disk intersection graph: Triangle Hitting Set, Feedback Vertex Set, and Odd Cycle Transversal. Given a disk intersection grap…
Feedback Vertex Set on Geometric Intersection Graphs
Shinwoo An, Eunjin Oh
In this paper, we present an algorithm for computing a feedback vertex set of a unit disk graph of size , if it exists, which runs in time , where and…
Reachability Problems for Transmission Graphs
Shinwoo An, Eunjin Oh
Let be a set of points in the plane where each point of is associated with a radius .The transmission graph of is defined as the directed graph…