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SODA
2010
ACM
202views Algorithms» more  SODA 2010»
14 years 7 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
SODA
2010
ACM
235views Algorithms» more  SODA 2010»
14 years 7 months ago
Algorithmic Lower Bounds for Problems Parameterized by Clique-width
Many NP-hard problems can be solved efficiently when the input is restricted to graphs of bounded tree-width or clique-width. In particular, by the celebrated result of Courcelle,...
Fedor V. Fomin, Petr A. Golovach, Daniel Lokshtano...
SODA
2010
ACM
185views Algorithms» more  SODA 2010»
13 years 8 months ago
Solving MAX-r-SAT Above a Tight Lower Bound
We present an exact algorithm that decides, for every fixed r ≥ 2 in time O(m) + 2O(k2 ) whether a given multiset of m clauses of size r admits a truth assignment that satisfi...
Noga Alon, Gregory Gutin, Eun Jung Kim, Stefan Sze...
SODA
2010
ACM
175views Algorithms» more  SODA 2010»
14 years 7 months ago
Fast SDP Algorithms for Constraint Satisfaction Problems
The class of constraint satisfactions problems (CSPs) captures many fundamental combinatorial optimization problems such as Max Cut, Max q-Cut, Unique Games, and Max k-Sat. Recent...
David Steurer
SODA
2010
ACM
175views Algorithms» more  SODA 2010»
14 years 7 months ago
Optimally Reconstructing Weighted Graphs Using Queries
d Abstract) Hanna Mazzawi Technion - Israel Institute of Technology In this paper, we consider the problem of reconstructing a hidden graph with m edges using additive queries. Gi...
Hanna Mazzawi