On the discrete unit disk cover problem

Author: mmlc

August undefined, 2024

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 ... Web25 de abr. de 2024 · Definition 1. The Within-Strip Discrete Unit Disk Cover (WSDUDC) Problem: The input to the problem consists of a set of n points, a set of m unit radius …

[1209.2951v1] 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 … atatcutz iskandar puteri

The k-Colorable Unit Disk Cover Problem - Semantic Scholar

WebIn this paper we consider the discrete unit disk cover problem and the rectangular region cover problem as follows:(i) Given a set P of points and a set D of unit disks in the … WebThe 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 … 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... askedalen barnehage

The k-Colorable Unit Disk Cover Problem DeepAI

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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 … 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 … askebeneWebAs a consequence we obtain a constant factor approximation for the capacitated set cover problem with unit disks. ... On the discrete unit disk cover problem, in: Katoh Naoki, Kumar Amit (Eds.), WALCOM: Algorithms and Computation - 5th International Workshop, WALCOM 2011, New Delhi, India, February 18-20, 2011. atatakaite

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

On the discrete unit disk cover problem

WebThe disk covering problem asks for the smallest real number such that disks of radius () can be arranged in such a way as to cover the unit disk. Dually, for a given radius ε, … Web18 de fev. de 2011 · In this paper, we consider the following variations of the Line Segment Disk Cover (LSDC) problem. LSDC-H: In this version of LSDC problem, we are given a …

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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, … Web1 de abr. de 2024 · arXivLabs: experimental projects with community collaborators. arXivLabs is a framework that allows collaborators to develop and share new arXiv …

WebTechnology for use by a human user in a viewing environment that includes a plurality of Internet of Things (IoT) light sources. Responsive to a voice command from a human user, machine logic determines which Internet of Things (IoT) light sources (for example, fixed brightness lamps, adjustable brightness lamps, windows with adjustable covers or … 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 …

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 ... 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 …

WebThe discrete unit disk cover problem is a geometric version of the general set cover problem which is NP-hard [14]. The general set cover …

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 n and Q={q1,q2,…,qm} be a service centers ... askecupen 2023Web16 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}. atateknikWebThe 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 … atatekaWebBased 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 … atatepe koleji adanaWeb1 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 … atatemaWebAbstract 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 … atatekenWebGiven 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) … atateknokent