47 search results - page 1 / 10 » On Geometric Spanners of Euclidean and Unit Disk Graphs |
CORR
2008
Springer
13 years 4 months ago
2008
Springer
We consider the problem of constructing bounded-degree planar geometric spanners of Euclidean and unit-disk graphs. It is well known that the Delaunay subgraph is a planar geometri...
COMGEO
2007
ACM
13 years 4 months ago
2007
ACM
In this paper we investigate the relations between spanners, weak spanners, and power spanners in RD for any dimension D and apply our results to topology control in wireless netw...
WADS
2007
Springer
13 years 10 months ago
2007
Springer
A ball graph is an intersection graph of a set of balls with arbitrary radii. Given a real number t > 1, we say that a subgraph G′ of a graph G is a t-spanner of G, if for eve...
ISAAC
2004
Springer
13 years 10 months ago
2004
Springer
For c ∈ R, a c-spanner is a subgraph of a complete Euclidean graph satisfying that between any two vertices there exists a path of weighted length at most c times their geometric...
IM
2008
13 years 4 months ago
2008
Let G = G(n, r) be a random geometric graph resulting from placing n nodes uniformly at random in the unit square (disk) and connecting every two nodes if and only if their Euclide...