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» Lower bounds for testing Euclidean Minimum Spanning Trees
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90
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ESA
2009
Springer
144views Algorithms» more  ESA 2009»
15 years 7 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
118
Voted
ALGORITHMICA
2002
101views more  ALGORITHMICA 2002»
15 years 10 days 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. ...
96
Voted
STOC
1992
ACM
110views Algorithms» more  STOC 1992»
15 years 4 months 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»
15 years 10 days 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
99
Voted
PODC
2005
ACM
15 years 6 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