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» Lower bounds for testing Euclidean Minimum Spanning Trees
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ESA
2009
Springer
144views Algorithms» more  ESA 2009»
14 years 2 months ago
Narrow-Shallow-Low-Light Trees with and without Steiner Points
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...
Michael Elkin, Shay Solomon
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. ...
STOC
1992
ACM
110views Algorithms» more  STOC 1992»
14 years 11 days ago
Linear Decision Trees: Volume Estimates and Topological Bounds
Abstract. We describe two methods for estimating the size and depth of decision trees where a linear test is performed at each node. Both methods are applied to the question of dec...
Anders Björner, László Lov&aacu...
TSP
2008
101views more  TSP 2008»
13 years 8 months ago
Optimal Node Density for Detection in Energy-Constrained Random Networks
The problem of optimal node density maximizing the Neyman-Pearson detection error exponent subject to a constraint on average (per node) energy consumption is analyzed. The spatial...
Animashree Anandkumar, Lang Tong, Ananthram Swami
PODC
2005
ACM
14 years 1 months ago
Proof labeling schemes
The problem of verifying a Minimum Spanning Tree (MST) was introduced by Tarjan in a sequential setting. Given a graph and a tree that spans it, the algorithm is required to check...
Amos Korman, Shay Kutten, David Peleg