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 … 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.

AN IMPROVED LINE-SEPARABLE ALGORITHM FOR DISCRETE UNIT DISK 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) 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 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 … on the market lowestoft

Approximation Algorithms for Geometric Covering Problems for Disks …

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, one wishes to find the smallest integer n such that n disks of radius ε can cover the unit disk. [1] The best solutions known to date are as follows. [2] n. r (n) Web2 Line Separated Discrete Unit Disk Cover We begin by introducing notation and terminology for our discussion of the line-separable unit disk cover problem … ioof smf