8 papers
Maximum Independent Sets in Disk Graphs with Disks in Convex Position
Anastasiia Tkachenko, Haitao Wang
For a set of disks in the plane, its disk graph is the graph with vertex set , where two vertices are adjacent if and only if the corres…
Shortest Paths in Geodesic Unit-Disk Graphs
Bruce W. Brewer, Haitao Wang
Let be a set of points in a polygon with vertices. The geodesic unit-disk graph induced by has vertex set and contains an edge between two vertices w…
An Optimal Algorithm for Computing Many Faces in Line Arrangements
Haitao Wang
Given a set of points and a set of lines in the plane, we consider the problem of computing the faces of the arrangement of the lines that contain at least one point. In th…
Computing Dominating Sets in Disk Graphs with Centers in Convex Position
Anastasiia Tkachenko, Haitao Wang
Given a set of points in the plane and a collection of disks centered at these points, the disk graph has vertex set , with an edge between two vertices if their…
An Optimal Algorithm for Shortest Paths in Unweighted Disk Graphs
Bruce W. Brewer, Haitao Wang
Given in the plane a set of points and a set of disks centered at these points, the disk graph induced by these disks has vertex set and an edge between two vert…
Minimum-Weight Half-Plane Hitting Set
Gang Liu, Haitao Wang
Given a set of weighted points and a set of half-planes in the plane, the hitting set problem is to compute a subset of points from such that each half-pla…