Title
On identifying codes in the hexagonal mesh
Abstract
It is shown that, if r⩾2, there exists an (r,⩽2)-identifying code in the infinite hexagonal mesh with density (5r+2)/((r+2)(2r+1)) for even r and (5r+1)/((r+1)(2r+1)) for odd r. The optimal density of a (1,⩽2)-identifying code in the infinite hexagonal mesh is shown to be 2/3 and the optimal densities of (1,⩽3)- and (2,⩽3)-identifying codes are shown to be 1.
Year
DOI
Venue
2004
10.1016/j.ipl.2003.09.009
Information Processing Letters
Keywords
Field
DocType
Fault tolerance,Identification,Optimal code,Combinatorial problems
Graph theory,Discrete mathematics,Combinatorics,Hexagonal crystal system,Mathematics
Journal
Volume
Issue
ISSN
89
1
0020-0190
Citations 
PageRank 
References 
10
0.75
6
Authors
2
Name
Order
Citations
PageRank
Iiro S. Honkala137540.72
Tero Laihonen236339.39