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ALGORITHMICA
2002
101views more  ALGORITHMICA 2002»
13 years 7 months ago
Improved Algorithms for Constructing Fault-Tolerant Spanners
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...
Christos Levcopoulos, Giri Narasimhan, Michiel H. ...
ICALP
2001
Springer
14 years 6 days ago
Approximating the Minimum Spanning Tree Weight in Sublinear Time
We present a probabilistic algorithm that, given a connected graph G (represented by adjacency lists) of average degree d, with edge weights in the set {1, . . . , w}, and given a ...
Bernard Chazelle, Ronitt Rubinfeld, Luca Trevisan
CORR
2004
Springer
103views Education» more  CORR 2004»
13 years 7 months ago
The Freeze-Tag Problem: How to Wake Up a Swarm of Robots
An optimization problem that naturally arises in the study of swarm robotics is the Freeze-Tag Problem (FTP) of how to awaken a set of "asleep" robots, by having an awak...
Esther M. Arkin, Michael A. Bender, Sándor ...
ESA
2004
Springer
129views Algorithms» more  ESA 2004»
14 years 1 months ago
Contraction and Treewidth Lower Bounds
Edge contraction is shown to be a useful mechanism to improve lower bound heuristics for treewidth. A successful lower bound for treewidth is the degeneracy: the maximum over all ...
Hans L. Bodlaender, Arie M. C. A. Koster, Thomas W...
JCT
2010
79views more  JCT 2010»
13 years 6 months ago
Vertex-coloring edge-weightings: Towards the 1-2-3-conjecture
Abstract. A weighting of the edges of a graph is called vertexcoloring if the weighted degrees of the vertices yield a proper coloring of the graph. In this paper we show that such...
Maciej Kalkowski, Michal Karonski, Florian Pfender