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ALGORITHMICA
2002
101views more  ALGORITHMICA 2002»
13 years 8 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. ...
FLAIRS
2001
13 years 9 months ago
A Practical Markov Chain Monte Carlo Approach to Decision Problems
Decisionand optimizationproblemsinvolvinggraphsarise in manyareas of artificial intelligence, including probabilistic networks, robot navigation, and network design. Manysuch prob...
Timothy Huang, Yuriy Nevmyvaka
FOCS
2008
IEEE
14 years 2 months ago
Shallow-Low-Light Trees, and Tight Lower Bounds for Euclidean Spanners
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...
Yefim Dinitz, Michael Elkin, Shay Solomon
ESA
2005
Springer
135views Algorithms» more  ESA 2005»
14 years 1 months ago
Approximation Complexity of min-max (Regret) Versions of Shortest Path, Spanning Tree, and Knapsack
This paper investigates, for the first time in the literature, the approximation of min-max (regret) versions of classical problems like shortest path, minimum spanning tree, and ...
Hassene Aissi, Cristina Bazgan, Daniel Vanderpoote...
CPC
2007
97views more  CPC 2007»
13 years 8 months ago
On an Online Spanning Tree Problem in Randomly Weighted Graphs
Abstract. This paper is devoted to an online variant of the minimum spanning tree problem in randomly weighted graphs. We assume that the input graph is complete and the edge weigh...
Jan Remy, Alexander Souza, Angelika Steger