159 search results - page 2 / 32 » Codes identifying sets of vertices in random networks |
106
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EJC
2008
14 years 10 months ago
2008
For a graph G and a set D V (G), define Nr[x] = {xi V (G) : d(x, xi) r} (where d(x, y) is graph theoretic distance) and Dr(x) = Nr[x] D. D is known as an r-identifying code if...
CORR
2010
Springer
14 years 11 months ago
2010
Springer
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...
COMBINATORICS
2002
14 years 11 months ago
2002
Let G = (V, E) be a connected undirected graph and S a subset of vertices. If for all vertices v V , the sets Br(v) S are all nonempty and different, where Br(v) denotes the set...
116
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CORR
2011
Springer
14 years 6 months ago
2011
Springer
ABSTRACT. Upon the discovery of power laws [8, 16, 30], a large body of work in complex network analysis has focused on developing generative models of graphs which mimick real-wor...
CORR
2010
Springer
14 years 11 months ago
2010
Springer
Given a graph G, an identifying code D V (G) is a vertex set such that for any two distinct vertices v1, v2 V (G), the sets N[v1] D and N[v2] D are distinct and nonempty (here...