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cs.CG2021

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…

cs.CG2021

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…

cs.CG2021

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…

cs.CG2020

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…

cs.CG2019

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…

cs.CG2019

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…