COMBINATORICA
2011
12 years 4 months ago
2011
Given independent random points X1, . . . , Xn ∈ Rd with common probability distribution ν, and a positive distance r = r(n) > 0, we construct a random geometric graph Gn wi...
DMTCS
2010
13 years 2 months ago
2010
A geometric graph is a graph G = (V, E) drawn in the plane, such that V is a point set in general position and E is a set of straight-line segments whose endpoints belong to V . W...
COMGEO
2004
ACM
13 years 4 months ago
2004
ACM
Let n point sites be situated on the vertices or edges of a geometric graph G over e edges. Each site can be assigned a multiplicative weight and a color. We discuss the complexit...
COMGEO
2004
ACM
13 years 4 months ago
2004
ACM
Let
JGT
2006
13 years 4 months ago
2006
We begin the study of distinguishing geometric graphs. Let G be a geometric graph. An automorphism of the underlying graph that preserves both crossings and noncrossings is called...
COMBINATORICA
2008
13 years 4 months ago
2008
We give a simple proof for a theorem of Katchalski, Last, and Valtr, asserting that the maximum number of edges in a geometric graph G on n vertices with no pair of parallel edges...
SODA
2007
ACM
13 years 6 months ago
2007
ACM
We introduce the concept of region-fault tolerant spanners for planar point sets, and prove the existence of region-fault tolerant spanners of small size. For a geometric graph G ...
CCCG
2010
13 years 6 months ago
2010
We propose algorithms for efficiently maintaining a constant-approximate minimum connected dominating set (MCDS) of a geometric graph under node insertions and deletions. Assuming...
GD
2006
Springer
13 years 8 months ago
2006
Springer
We give a brief account of results concerning the number of triangulations on finite point sets in the plane, both for arbitrary sets and for specific sets such as the n
COMPGEOM
2003
ACM
13 years 10 months ago
2003
ACM
We introduce a new realistic input model for geometric graphs and nonconvex polyhedra. A geometric graph G is local if (1) the longest edge at every vertex v is only a constant fa...