Title
Identification in Z2 using Euclidean balls
Abstract
The concept of identifying codes was introduced by Karpovsky, Chakrabarty and Levitin. These codes find their application, for example, in sensor networks. The network is modelled by a graph. In this paper, the goal is to find good identifying codes in a natural setting, that is, in a graph E"r=(V,E) where V=Z^2 is the set of vertices and each vertex (sensor) can check its neighbours within Euclidean distance r. We also consider a graph closely connected to a well-studied king grid, which provides optimal identifying codes for E"5 and E"1"3.
Year
DOI
Venue
2011
10.1016/j.dam.2010.12.008
Discrete Applied Mathematics
Keywords
DocType
Volume
Fault diagnosis,Euclidean distance,Euclidean ball,well-studied king grid,Identifying code,Sensor network,natural setting,sensor network,Optimal code,graph E
Journal
159
Issue
ISSN
Citations 
5
Discrete Applied Mathematics
4
PageRank 
References 
Authors
0.55
17
2
Name
Order
Citations
PageRank
Ville Junnila14310.51
Tero Laihonen236339.39