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SODA
2010
ACM
202views Algorithms» more  SODA 2010»
14 years 5 months ago
Counting Inversions, Offline Orthogonal Range Counting, and Related Problems
We give an O(n lg n)-time algorithm for counting the number of inversions in a permutation on n elements. This improves a long-standing previous bound of O(n lg n/ lg lg n) that ...
Timothy M. Chan, Mihai Patrascu
WG
2007
Springer
14 years 1 months ago
The Complexity of Bottleneck Labeled Graph Problems
Abstract. We present hardness results, approximation heuristics, and exact algorithms for bottleneck labeled optimization problems arising in the context of graph theory. This long...
Refael Hassin, Jérôme Monnot, Danny S...
FSTTCS
2007
Springer
14 years 1 months ago
Better Algorithms and Bounds for Directed Maximum Leaf Problems
The Directed Maximum Leaf Out-Branching problem is to find an out-branching (i.e. a rooted oriented spanning tree) in a given digraph with the maximum number of leaves. In this pa...
Noga Alon, Fedor V. Fomin, Gregory Gutin, Michael ...
APPROX
2008
Springer
124views Algorithms» more  APPROX 2008»
13 years 9 months ago
Deterministic 7/8-Approximation for the Metric Maximum TSP
We present the first 7/8-approximation algorithm for the maximum traveling salesman problem with triangle inequality. Our algorithm is deterministic. This improves over both the r...
Lukasz Kowalik, Marcin Mucha
ICALP
2011
Springer
12 years 11 months ago
Improved Approximation for the Directed Spanner Problem
We present an O( √ n log n)-approximation algorithm for the problem of finding the sparsest spanner of a given directed graph G on n vertices. A spanner of a graph is a sparse ...
Piotr Berman, Arnab Bhattacharyya, Konstantin Maka...