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» On the size of identifying codes in triangle-free graphs
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CORR
2010
Springer
81views Education» more  CORR 2010»
13 years 5 months ago
On the size of identifying codes in triangle-free graphs
In an undirected graph G = (V, E), a subset C V such that C is a dominating set of G, and each vertex in V is dominated by a distinct subset of vertices from C, is called an iden...
Florent Foucaud, Ralf Klasing, Adrian Kosowski, An...
IPL
2007
105views more  IPL 2007»
13 years 5 months ago
Approximability of identifying codes and locating-dominating codes
We study the approximability and inapproximability of finding identifying codes and locating-dominating codes of the minimum size. In general graphs, we show that it is possible ...
Jukka Suomela
CORR
2010
Springer
92views Education» more  CORR 2010»
13 years 5 months ago
Extremal graphs for the identifying code problem
An identifying code of a graph G is a dominating set C such that every vertex x of G is distinguished from all other vertices by the set of vertices in C that are at distance at m...
Florent Foucaud, Eleonora Guerrini, Matjaz Kovse, ...
COMBINATORICS
1999
90views more  COMBINATORICS 1999»
13 years 5 months ago
New Bounds for Codes Identifying Vertices in Graphs
Let G = (V, E) be an undirected graph. Let C be a subset of vertices that we shall call a code. For any vertex v V , the neighbouring set N(v, C) is the set of vertices of C at d...
Gérard D. Cohen, Iiro S. Honkala, Antoine L...
TIT
1998
127views more  TIT 1998»
13 years 5 months ago
On a New Class of Codes for Identifying Vertices in Graphs
—We investigate a new class of codes for the optimal covering of vertices in an undirected graph Gsuch that any vertex in G can be uniquely identified by examining the vertices ...
Mark G. Karpovsky, Krishnendu Chakrabarty, Lev B. ...