4 search results - page 1 / 1 » Shallow-Low-Light Trees, and Tight Lower Bounds for Euclidea... |
FOCS
2008
IEEE
13 years 11 months ago
2008
IEEE
We show that for every n-point metric space M and positive integer k, there exists a spanning tree T with unweighted diameter O(k) and weight w(T) = O(k · n1/k ) · w(MST(M)), an...
ESA
2009
Springer
13 years 11 months ago
2009
Springer
We show that for every set S of n points in the plane and a designated point rt ∈ S, there exists a tree T that has small maximum degree, depth and weight. Moreover, for every po...
DCG
2010
13 years 4 months ago
2010
COMPGEOM
1992
ACM
13 years 8 months ago
1992
ACM
Suppose we are given a sequence of n points in the Euclidean plane, and our objective is to construct, on-line, a connected graph that connects all of them, trying to minimize the...