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» Spectral bounds for the maximum cut problem
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TOC
2008
104views more  TOC 2008»
13 years 7 months ago
Single Source Multiroute Flows and Cuts on Uniform Capacity Networks
For an integer h 1, an elementary h-route flow is a flow along h edge disjoint paths between a source and a sink, each path carrying a unit of flow, and a single commodity h-rout...
Henning Bruhn, Jakub Cerný, Alexander Hall,...
FOCS
2008
IEEE
14 years 2 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...
WINE
2010
Springer
213views Economy» more  WINE 2010»
13 years 5 months ago
The Efficiency of Fair Division with Connected Pieces
der the issue of fair division of goods, using the cake cutting abstraction, and aim to bound the possible degradation in social welfare due to the fairness requirements. Previous...
Yonatan Aumann, Yair Dombb
STOC
1996
ACM
115views Algorithms» more  STOC 1996»
13 years 11 months ago
Minimum Cuts in Near-Linear Time
We significantly improve known time bounds for solving the minimum cut problem on undirected graphs. We use a "semiduality" between minimum cuts and maximum spanning tree...
David R. Karger
SODA
2003
ACM
125views Algorithms» more  SODA 2003»
13 years 9 months ago
Random MAX SAT, random MAX CUT, and their phase transitions
With random inputs, certain decision problems undergo a “phase transition”. We prove similar behavior in an optimization context. Given a conjunctive normal form (CNF) formula...
Don Coppersmith, David Gamarnik, Mohammad Taghi Ha...