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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»
14 years 11 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»
14 years 10 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»
14 years 11 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»
14 years 10 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»
14 years 10 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. ...