26 citations · 42 across the 10 of their papers we have counts for
5 papers · 1 filter
How to Catch Grid Points
Sariel Har-Peled, Elfarouk Harb, Qizheng He
Given a positive integer , we study the problem of finding a convex polygon of minimum perimeter that encloses exactly points of . We show that an optimal poly…
Enclosing Points with Geometric Objects
Timothy M. Chan, Qizheng He, Jie Xue
Let be a set of points in and be a set of geometric objects in , where . We study the problem of computing a…
Dynamic Geometric Set Cover, Revisited
Timothy M. Chan, Qizheng He, Subhash Suri +1
Geometric set cover is a classical problem in computational geometry, which has been extensively studied in the past. In the dynamic version of the problem, points and ranges may b…
More Dynamic Data Structures for Geometric Set Cover with Sublinear Update Time
Timothy M. Chan, Qizheng He
We study geometric set cover problems in dynamic settings, allowing insertions and deletions of points and objects. We present the first dynamic data structure that can maintain an…
Faster Approximation Algorithms for Geometric Set Cover
Timothy M. Chan, Qizheng He
We improve the running times of -approximation algorithms for the set cover problem in geometric settings, specifically, covering points by disks in the plane, or covering po…