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cs.CG2026
Approximation Algorithms for Geometric Maximum Coverage
Sujoy Bhore, Timothy M. Chan, Pasin Manurangsi
We study the maximum coverage problem for geometric set systems: given a set of points, a set of geometric objects, and a number , select objects maximizing the number of po…
cs.CG2025
Sparse Bounded Hop-Spanners for Geometric Intersection Graphs
Sujoy Bhore, Timothy M. Chan, Zhengcheng Huang +2
We present new results on - and -hop spanners for geometric intersection graphs. These include improved upper and lower bounds for - and -hop spanners for many geometri…
cs.CG2024
Fast Static and Dynamic Approximation Algorithms for Geometric Optimization Problems: Piercing, Independent Set, Vertex Cover, and Matching
Sujoy Bhore, Timothy M. Chan
We develop simple and general techniques to obtain faster (near-linear time) static approximation algorithms, as well as efficient dynamic data structures, for four fundamental geo…