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» On random points in the unit disk
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RSA
2006
81views more  RSA 2006»
13 years 4 months ago
On random points in the unit disk
Let n be a positive integer and > 0 a real number. Let Vn be a set of n points in the unit disk selected uniformly and independently at random. Define G(, n) to be the graph w...
Robert B. Ellis, Xingde Jia, Catherine H. Yan
ALGORITHMICA
2006
161views more  ALGORITHMICA 2006»
13 years 4 months ago
The Expected Size of the Rule k Dominating Set
Dai, Li, and Wu proposed Rule k, a localized approximation algorithm that attempts to find a small connected dominating set in a graph. In this paper we consider the "average...
Jennie C. Hansen, Eric Schmutz, Li Sheng
DM
2008
103views more  DM 2008»
13 years 4 months ago
Improper colouring of (random) unit disk graphs
For any graph G, the k-improper chromatic number k (G) is the smallest number of colours used in a colouring of G such that each colour class induces a subgraph of maximum degree ...
Ross J. Kang, Tobias Müller, Jean-Séba...
ISAAC
2009
Springer
116views Algorithms» more  ISAAC 2009»
13 years 11 months ago
Practical Discrete Unit Disk Cover Using an Exact Line-Separable Algorithm
Given m unit disks and n points in the plane, the discrete unit disk cover problem is to select a minimum subset of the disks to cover the points. This problem is NP-hard [11] and ...
Francisco Claude, Reza Dorrigiv, Stephane Durocher...
CORR
2011
Springer
181views Education» more  CORR 2011»
12 years 11 months ago
On Isolating Points Using Disks
In this paper, we consider the problem of choosing disks (that we can think of as corresponding to wireless sensors) so that given a set of input points in the plane, there exists ...
Matt Gibson, Gaurav Kanade, Kasturi R. Varadarajan