On the discrete unit disk cover problem
Web11 de dez. de 2024 · Given a set V of n points and a set \mathcal D of disks of the same size on the plane, the goal of the Minimum Partial Unit Disk Cover problem (MinPUDC) is to find a minimum number of disks to cover at least k points. The meaning of “restricted” is that the centers of those disks in \mathcal D coincide with the points in V. Web1 de jun. de 1982 · In the capacitated discrete unit disk cover problem, the set P of customers and the set Q of service centers are two points sets in the Euclidean plane. A …
On the discrete unit disk cover problem
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Web1 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, … WebThe solution of the discrete unit disk cover problem is based on a polynomial time approximation scheme (PTAS) for the subproblem line separable discrete unit disk …
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 abr. de 2024 · Given a set ${\cal P}$ of n points and a set ${\cal D}$ of m unit disks on a 2-dimensional plane, the discrete unit disk cover (DUDC) problem is (i) to check whether each point in ${\cal P}$ is cov...
Web1 de abr. de 2024 · The. k. -Colorable Unit Disk Cover Problem. In this article, we consider colorable variations of the Unit Disk Cover ( {\it UDC}) problem as follows. {\it k … Web2 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 ...
Web9 de set. de 2024 · Abstract. We consider the k -Colorable Discrete Unit Disk Cover ( k-CDUDC) problem as follows. Given a parameter k, a set P of n points, and a set D of m unit disks, both sets lying in the plane, the objective is to compute a set D'\subseteq D such that every point in P is covered by at least one disk in D' and there exists a function \chi …
Web1 de abr. de 2024 · This article proposes a 4-approximation algorithm in O(mn log k) time for this problem and shows that the running time can be improved by a multiplicative factor of m, where a positive integer k denotes the cardinality of a color-set. In this article, we consider colorable variations of the Unit Disk Cover (UDC) problem as follows. k … chrysler emission recallWebGiven a set of m unit disks and a set of n points in the plane, the discrete unit disk cover problem is to select a minimum cardinality subset to cover .This problem is NP-hard [14] and the best previous practical solution is a 38-approximation algorithm by Carmi et al. [5]. We first consider the line-separable discrete unit disk cover problem (the set of disk … descended from divinity ch 6Web2 Line Separated Discrete Unit Disk Cover We begin by introducing notation and terminology for our discussion of the line-separable unit disk cover problem … descendants the musical fairy godmotherWeb16 de jan. de 2024 · In the similar line, one of the well known and well studied geometric disk covering problems is known as Discrete Unit Disk Cover (DUDC) problem. Here, we are given a set \mathcal {P} of n points and a set \mathcal {D} of m unit disks, the objective is to cover all points in \mathcal {P} with smallest number of disks in \mathcal {D}. chrysler elementary school detroitWebAbstract. 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 ... chrysler electric mini vansWeb13 de set. de 2012 · Given a set of unit disks in the Euclidean plane, we consider (i) the {\it discrete unit disk cover} (DUDC) problem and (ii) the {\it rectangular region cover} (RRC) problem. In the DUDC problem, for a given set of points the objective is to select minimum cardinality subset such that each point in is covered by at least one disk in . chrysler employee advantage websiteWeb1 de abr. de 2024 · {\it k -Colorable Discrete Unit Disk Cover ( {\it 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'\subseteq D such that every point in P is covered by at least one disk in D' and there exists a function \chi:D'\rightarrow C that … chrysler emissions warranty