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ALGORITHMICA
2002
101views more  ALGORITHMICA 2002»
15 years 6 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
15 years 10 months 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»
15 years 5 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»
15 years 11 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»
15 years 4 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