On the discrete unit disk cover problem

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August undefined, 2024

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 … Web13 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 .

A Universal Generating Algorithm of the Polyhedral Discrete Grid …

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 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 … how expensive is minute clinic

Unit disk cover problem in 2D - ScienceDirect

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 · {\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 … 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 … hide not thyself from thine own flesh

On the Discrete Unit Disk Cover Problem SpringerLink

[2104.00207] The $k$-Colorable Unit Disk Cover Problem - arXiv.org

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. WebOn the Discrete Unit Disk Cover Problem Gautam K. Das1, Robert Fraser 2, Alejandro Lopez-Ortiz , and Bradford G. Nickerson1 1 Faculty of CS, University of New Brunswick, Fredericton, NB - E3B 5A3, Canada 2 DRC School of CS, University of Waterloo, … how expensive is motorhome insuranceWebThe Line-Separated Discrete Unit Disk Cover (LSDUDC) problem has a single line separating Pfrom Q. A version of LSDUDC was rst discussed by [6], where a 2-approximate solution was given; an exact algorithm for LSDUDC was presented in [5]. Another generalization of this problem is the Double-Sided Disk Cover (DSDC) problem, where … hide notifications when screen sharing

"WebAbstract. 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 ... " - On the discrete unit disk cover problem

On the discrete unit disk cover problem

The Within-Strip Discrete Unit Disk Cover Problem - ResearchGate

WebAbstract Given 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 least one disk in D or not and (ii) if so, then find a minimum cardinality subset D * \subseteq D such that unit disks in D * cover all the points in P. The discrete unit disk … 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 …

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WebGiven a set ${\cal D}$ 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 ${\cal P}$ of points the objective is to select minimum cardinality subset ${\cal D}^* \subseteq {\cal D}$ such that each point in ${\cal … Web18 de fev. de 2011 · An algorithm with constant approximation factor 18 is provided to solve the discrete unit disk cover problem, a geometric version of the general set cover …

WebGiven a set ${\cal D}$ 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) … 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 …

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 {\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 ...

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, …

Web1 de abr. de 2024 · arXivLabs: experimental projects with community collaborators. arXivLabs is a framework that allows collaborators to develop and share new arXiv … hiden reservationWeb2 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 ... how expensive is moscow how expensive is mounjaroWebGiven 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 … how expensive is mold removalWebGiven 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 … how expensive is moonshineWebExperiments 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 ... how expensive is moldaviteWeb15 de out. de 2024 · On the discrete unit disk cover problem. Int. J. Comput. Geom. Appl., 22 (05) (2012), pp. 407-419. View Record in Scopus Google Scholar. Irit Dinur, David Steurer, Analytical approach to parallel repetition, in: Proceedings of the forty-sixth annual ACM symposium on Theory of computing, 2014, pp. 624–633. hide n seek codes for fortnite