8 search results - page 1 / 2 » Balancing Degree, Diameter and Weight in Euclidean Spanners |
ESA
2010
Springer
13 years 6 months ago
2010
Springer
Abstract. In a seminal STOC'95 paper, Arya et al. [4] devised a construction that for any set S of n points in Rd and any > 0, provides a (1 + )-spanner with diameter O(lo...
ALGORITHMICA
2002
13 years 4 months ago
2002
Let S be a set of n points in a metric space, and k a positive integer. Algorithms are given that construct k-fault-tolerant spanners for S. If in such a spanner at most k vertice...
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
1994
Springer
13 years 9 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...
STOC
2009
ACM
14 years 5 months ago
2009
ACM
The paper concerns graph spanners that are resistant to vertex or edge failures. Given a weighted undirected n-vertex graph G = (V, E) and an integer k 1, the subgraph H = (V, E ...