On the discrete unit disk cover problem
Web1 de abr. de 2024 · In this article, we consider colorable variations of the Unit Disk Cover (UDC) problem as follows. k-Colorable Discrete Unit Disk Cover (k-CDUDC): Given a set P of n points, and a set D of m unit disks (of radius=1), both lying in the plane, and a parameter k, the objective is to compute a set D'⊆ D such that every point in P is … WebThe initial work on the Discrete Unit Disk Cover problem came from discus-sions with Sariel Har-Peled on a preliminary version of the problem. Paz Carmi was kind enough to share his insights on the problem, and discuss details of …
On the discrete unit disk cover problem
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Web28 de set. de 2024 · Our solution of the DUSC problem is based on a simple ( 1 + 2 k − 2) -approximation algorithm for the subproblem strip square cover (SSC) problem, where … WebGiven a set P of n points and a set D of m unit disks on a 2-dimensional plane, the discrete unit disk cover (DUDC) problem is (i) to check whether each point in P is covered by at …
Web1 de out. de 2024 · Request PDF Capacitated discrete unit disk cover Consider a capacitated covering problem as follows: let P={p1,p2,…,pn} be a customers set of size … Web13 de mar. de 2024 · Given a unit disk, find the smallest radius required for equal disks to completely cover the unit disk. The first few such values are. Here, values for , 8, 9, 10 …
Web1 de jan. de 2012 · In the Discrete Unit Disk Cover problem, S is finite, and the disks are restricted to a finite set of possible centers [9]; the discretized version admits a PTAS via … Webproblem, given a point set, one wants to nd the minimum number of unit disks1 to cover all the points. The unit disks can be placed at any position in the plane. In the discrete version, one is given a nite set of geometric objects, and wants to nd the optimal subset. The discrete version of the Unit-Disk Cover problem will be called Geometric ...
WebBased on the analysis of the problems in the generation algorithm of discrete grid systems domestically and abroad, a new universal algorithm for the unit duplication of a polyhedral discrete grid is proposed, and its core is “simple unit replication + effective region restriction”. First, the grid coordinate system and the corresponding spatial rectangular …
WebGiven a set of n points and a set of m unit disks on a 2-dimensional plane, the discrete unit disk cover (DUDC) problem is (i) to check whether each point in is covered by at … coolalinga post officeWeb1 de jun. de 1982 · Approximation algorithms for the unit disk cover problem in 2D and 3D Computational Geometry, Volume 60, 2024, pp. 8-18 Show abstract Research article A robust, fast, and accurate algorithm for point in spherical polygon classification with applications in geoscience and remote sensing Computers & Geosciences, Volume 167, … coolalinga shopping centreWebGiven a set {\mathcal P} of points in the plane, and a set {\mathcal D} of unit disks of fixed location, the discrete unit disk cover problem is to find a minimum-cardinality subset {\mathcal D}' \subseteq {\mathcal D} that covers all points of {\mathcal P}. This problem is a geometric version of the general set cover problem, where the sets ... coolalinga tourist park darwinWebThe discrete unit disk cover problem is a geometric version of the general set cover problem which is NP-hard. The general set cover problem is not approximable within … family law nwtWeb2 de abr. de 2024 · In this section we consider the following problem. k-Colorable Discrete Unit Disk Cover (k-CDUDC): Given a set P of n points, and a set D of m unit disks (of radius=1), both lying in the plane, and a parameter k, the objective is to compute a set D′ ⊆D that covers all points in P such that the set D′ can be partitioned into {D′ 1,D ... family law nswWebExperiments with unit disk cover algorithms for covering massive pointsets. Computational Geometry 109 (2024), 101925. Google Scholar [30] Ghosh Anirban, Hicks Brian, and Shevchenko Ronald. 2024. Unit disk cover for massive point sets. In Proceedings of the International Symposium on Experimental Algorithms. 142 – 157. Google Scholar [31 ... family law nsw legal aidWebAbstract. Given a set Dof unit disks in the Euclidean plane, we con-sider (i) the discrete unit disk cover (DUDC) problem and (ii) the rectan-gular region cover (RRC) problem. In the DUDC problem, for a given set Pof points the objective is to select minimum cardinality subset D∗ ⊆D such that each point in Pis covered by at least one disk ... family law notice of hearing