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» Better Polynomial Algorithms on Graphs of Bounded Rank-Width
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MST
2010
98views more  MST 2010»
13 years 5 months ago
Why Almost All k-Colorable Graphs Are Easy to Color
Coloring a k-colorable graph using k colors (k ≥ 3) is a notoriously hard problem. Considering average case analysis allows for better results. In this work we consider the unif...
Amin Coja-Oghlan, Michael Krivelevich, Dan Vilench...
ENDM
2008
90views more  ENDM 2008»
13 years 7 months ago
On cliques of Helly Circular-arc Graphs
A circular-arc graph is the intersection graph of a set of arcs on the circle. It is a Helly circular-arc graph if it has a Helly model, where every maximal clique is the set of a...
Min Chih Lin, Ross M. McConnell, Francisco J. Soul...
ESA
2006
Springer
139views Algorithms» more  ESA 2006»
13 years 11 months ago
Stochastic Shortest Paths Via Quasi-convex Maximization
Abstract. We consider the problem of finding shortest paths in a graph with independent randomly distributed edge lengths. Our goal is to maximize the probability that the path len...
Evdokia Nikolova, Jonathan A. Kelner, Matthew Bran...
CORR
2008
Springer
158views Education» more  CORR 2008»
13 years 7 months ago
Improved Smoothed Analysis of the k-Means Method
The k-means method is a widely used clustering algorithm. One of its distinguished features is its speed in practice. Its worst-case running-time, however, is exponential, leaving...
Bodo Manthey, Heiko Röglin
STOC
2002
ACM
107views Algorithms» more  STOC 2002»
14 years 7 months ago
Quantum lower bound for the collision problem
The collision problem is to decide whether a function X : {1, . . . , n} {1, . . . , n} is one-to-one or two-to-one, given that one of these is the case. We show a lower bound of...
Scott Aaronson