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» The game chromatic number of random graphs
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FOCS
2008
IEEE
13 years 11 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...
TCS
2010
13 years 3 months ago
Cops and Robbers from a distance
Cops and Robbers is a pursuit and evasion game played on graphs that has received much attention. We consider an extension of Cops and Robbers, distance k Cops and Robbers, where t...
Anthony Bonato, Ehsan Chiniforooshan, Pawel Pralat
SODA
2012
ACM
217views Algorithms» more  SODA 2012»
11 years 7 months ago
Polynomial integrality gaps for strong SDP relaxations of Densest k-subgraph
The Densest k-subgraph problem (i.e. find a size k subgraph with maximum number of edges), is one of the notorious problems in approximation algorithms. There is a significant g...
Aditya Bhaskara, Moses Charikar, Aravindan Vijayar...