16 papers · 1 filter
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…
Linear-Time Approximation Scheme for k-Means Clustering of Affine Subspaces
Kyungjin Cho, Eunjin Oh
In this paper, we present a linear-time approximation scheme for -means clustering of \emph{incomplete} data points in -dimensional Euclidean space. An \emph{incomplete} data…
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…
The Maximum-Level Vertex in an Arrangement of Lines
Dan Halperin, Sariel Har-Peled, Kurt Mehlhorn +2
Let be a set of lines in the plane, not necessarily in general position. We present an efficient algorithm for finding all the vertices of the arrangement of maximum…
Computing a Geodesic Two-Center of Points in a Simple Polygon
Eunjin Oh, Sang Won Bae, Hee-Kap Ahn
Given a simple polygon and a set of points contained in , we consider the geodesic -center problem where we want to find points, called \emph{centers}, in to…
Computing the Center Region and Its Variants
Eunjin Oh, Hee-Kap Ahn
We present an -time algorithm for computing the center region of a set of points in the three-dimensional Euclidean space. This improves the previously best kno…