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On Coloring Unit Disk Graphs

Algorithmica, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gräf, A., Stumpf, M., Weißenfels, G.
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Capacitated discrete unit disk cover

Discrete Applied Mathematics, 2018
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Pawan K. Mishra   +3 more
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Unit disk graph approximation

Proceedings of the 2004 joint workshop on Foundations of mobile computing, 2004
Finding a good embedding of a unit disk graph given by its connectivity information is a problem of practical importance in a variety of fields. In wireless ad hoc and sensor networks, such an embedding can be used to obtain virtual coordinates. In this paper, we prove a non-approximability result for the problem of embedding a given unit disk graph ...
Fabian Kuhn   +2 more
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On the Discrete Unit Disk Cover Problem

International Journal of Computational Geometry & Applications, 2011
Given a set [Formula: see text] of n points and a set [Formula: see text] of m unit disks on a 2-dimensional plane, the discrete unit disk cover (DUDC) problem is (i) to check whether each point in [Formula: see text] is covered by at least one disk in [Formula: see text] or not and (ii) if so, then find a minimum cardinality subset [Formula: see text]
Das, Gautam K.   +3 more
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Bisectored unit disk graphs

Networks, 2004
AbstractUnit disk graphs form a natural model for cellular radio channel assignment problems under the assumption of equally powerful, omnidirectional transmitters located on a uniform, flat plane. Here, we introduce and give motivation for an extension of this model, namely, sectorization at transmitter sites.
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Hierarchically specified unit disk graphs

1994
We characterize the complexity of several basic optimization problems for unit disk graphs specified hierarchically as in [LW87a, Le88, LW92]. Both PSPACE-hardness results and polynomial time approximations are presented for most of the problems considered.
M. V. Marathe   +3 more
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CDS in Unit Disk Graph

2012
A unit disk is a disk with diameter one. Denote by disk r (o) the disk with center o and radius r. A graph G = (V, E) is called a unit disk graph if it can be embedded into the Euclidean plane such that an edge between two nodes u and v exists if and only if disk0. 5(u) ∩ disk0. 5(v)≠∅, that is, their Euclidean distance d(u, v) ≤ 1. The unit disk graph
Ding-Zhu Du, Peng-Jun Wan
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