On the discrete unit disk cover problem
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 … 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 …
On the discrete unit disk cover problem
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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... Web16 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}.
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) 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 … Web1 de jul. de 2015 · 1. Introduction. In the unit disk cover (UDC) problem, we consider two problems, namely the discrete unit disk cover (DUDC) problem and the rectangular …
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 … great wolf lodge olympia washingtonWeb1 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 … great wolf lodge one night stay priceWebGiven 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 ... great wolf lodge online codesWebGiven 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 … great wolf lodge olympiaWeb24 de jun. de 2024 · Given a set of points in the plane, the Unit Disk Cover (UDC) problem asks to compute the minimum number of unit disks required to cover the points, along … florine stettheimer bookWeb18 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 … florine rutherford peoria ilWeb2 Line Separated Discrete Unit Disk Cover We begin by introducing notation and terminology for our discussion of the line-separable unit disk cover problem … great wolf lodge open