7 search results - page 1 / 2 » Euclidean bounded-degree spanning tree ratios |
COMPGEOM
2003
ACM
13 years 9 months ago
2003
ACM
Let τK be the worst-case (supremum) ratio of the weight of the minimum degree-K spanning tree to the weight of the minimum spanning tree, over all finite point sets in the Eu
ESA
1994
Springer
13 years 8 months ago
1994
Springer
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 graph having the points of S as its vertices such that for any pair p, q of points ther...
JUCS
2007
13 years 4 months ago
2007
: We give a tight analysis of an old and popular sweep-line heuristic for constructing a spanning tree of a set of n points in the plane. The algorithm sweeps a vertical line acros...
DIALM
2008
ACM
13 years 6 months ago
2008
ACM
If V is a set of n points in the unit square [0, 1]2 , and if R : V + is an assignment of positive real numbers (radii) to to those points, define a graph G(R) as follows: {v, w}...
STACS
2001
Springer
13 years 9 months ago
2001
Springer
The stretch factor of a Euclidean graph is the maximum ratio of the distance in the graph between any two points and their Euclidean distance. Given a set S of n points in Rd, we ...