47 search results - page 3 / 10 » On Geometric Spanners of Euclidean and Unit Disk Graphs |
STACS
2007
Springer
13 years 11 months ago
2007
Springer
An orthogonal spanner network for a given set of n points in the plane is a plane straight line graph with axis-aligned edges that connects all input points. We show that for any ...
FOCS
1994
IEEE
13 years 8 months ago
1994
IEEE
Let S be a set of n points in IRd and let t > 1 be a real number. A t-spanner for S is a directed graph having the points of S as its vertices, such that for any pair p and q o...
ESA
2009
Springer
13 years 10 months ago
2009
Springer
Let (S, d) be a finite metric space, where each element p ∈ S has a non-negative weight w(p). We study spanners for the set S with respect to weighted distance function dw, wher...
SIAMCOMP
2002
13 years 5 months ago
2002
Given a set V of n points in Rd and a real constant t > 1, we present the first O(n log n)-time algorithm to compute a geometric t-spanner on V . A geometric t-spanner on V is a...
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 ...