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77
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ISAAC
2009
Springer
92views Algorithms» more  ISAAC 2009»
15 years 8 months ago
Online Maximum Directed Cut
We investigate a natural online version of the well-known Maximum Directed Cut problem on DAGs. We propose a deterministic algorithm and show that it achieves a competitive ratio o...
Amotz Bar-Noy, Michael Lampis
JGT
2007
81views more  JGT 2007»
15 years 2 months ago
Maximum directed cuts in acyclic digraphs
It is easily shown that every digraph with m edges has a directed cut of size at least m/4, and that 1/4 cannot be replaced by any larger constant. We investigate the size of a la...
Noga Alon, Béla Bollobás, Andr&aacut...
DIS
2006
Springer
15 years 5 months ago
Clustering Pairwise Distances with Missing Data: Maximum Cuts Versus Normalized Cuts
Abstract. Clustering algorithms based on a matrix of pairwise similarities (kernel matrix) for the data are widely known and used, a particularly popular class being spectral clust...
Jan Poland, Thomas Zeugmann
121
Voted
JGO
2010
115views more  JGO 2010»
15 years 17 days ago
Maximum flows and minimum cuts in the plane
A continuous maximum flow problem finds the largest t such that div v = t F(x, y) is possible with a capacity constraint (v1, v2) ≤ c(x, y). The dual problem finds a minimum ...
Gilbert Strang
FOCS
2008
IEEE
15 years 8 months ago
Beating the Random Ordering is Hard: Inapproximability of Maximum Acyclic Subgraph
We prove that approximating the Max Acyclic Subgraph problem within a factor better than 1/2 is Unique-Games hard. Specifically, for every constant ε > 0 the following holds:...
Venkatesan Guruswami, Rajsekar Manokaran, Prasad R...