A Constant Approximation for Colorful k-Center

Autor:	Bandyapadhyay, Sayan, Inamdar, Tanmay, Pai, Shreyas, Varadarajan, Kasturi
Rok vydání:	2019
Předmět:	Computer Science - Data Structures and Algorithms Computer Science - Computational Geometry
Druh dokumentu:	Working Paper
Popis:	In this paper, we consider the colorful $k$-center problem, which is a generalization of the well-known $k$-center problem. Here, we are given red and blue points in a metric space, and a coverage requirement for each color. The goal is to find the smallest radius $\rho$, such that with $k$ balls of radius $\rho$, the desired number of points of each color can be covered. We obtain a constant approximation for this problem in the Euclidean plane. We obtain this result by combining a "pseudo-approximation" algorithm that works in any metric space, and an approximation algorithm that works for a special class of instances in the plane. The latter algorithm uses a novel connection to a certain matching problem in graphs. Comment: 14 pages, Published in ESA 2019
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1907.08906 Zobrazit plný text záznamu View this record from Arxiv