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SODA
2010
ACM
185views Algorithms» more  SODA 2010»
13 years 6 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...
SPAA
2004
ACM
14 years 1 months ago
Lower bounds for graph embeddings and combinatorial preconditioners
Given a general graph G, a fundamental problem is to find a spanning tree H that best approximates G by some measure. Often this measure is some combination of the congestion and...
Gary L. Miller, Peter C. Richter
JCT
2008
100views more  JCT 2008»
13 years 7 months ago
Optimal distortion embeddings of distance regular graphs into Euclidean spaces
ABSTRACT. In this paper we give a lower bound for the least distortion embedding of a distance regular graph into Euclidean space. We use the lower bound for finding the least dist...
Frank Vallentin
RECOMB
2005
Springer
14 years 8 months ago
Lower Bounds for Maximum Parsimony with Gene Order Data
Abstract. In this paper, we study lower bound techniques for branchand-bound algorithms for maximum parsimony, with a focus on gene order data. We give a simple O(n3 ) time dynamic...
Abraham Bachrach, Kevin Chen, Chris Harrelson, Rad...
EOR
2008
75views more  EOR 2008»
13 years 7 months ago
Soft car sequencing with colors: Lower bounds and optimality proofs
This paper is a study of the car sequencing problem, when feature spacing constraints are soft and colors of vehicles are taken into account. Both pseudo-polynomial algorithms and ...
Thierry Benoist