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» On the Advantage over Random for Maximum Acyclic Subgraph
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FOCS
2007
IEEE
13 years 11 months ago
On the Advantage over Random for Maximum Acyclic Subgraph
In this paper we present a new approximation algorithm for the Max Acyclic Subgraph problem. Given an instance where the maximum acyclic subgraph contains 1/2 + δ fraction of all...
Moses Charikar, Konstantin Makarychev, Yury Makary...
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...
DM
2010
143views more  DM 2010»
13 years 4 months ago
Acyclic improper colourings of graphs with bounded maximum degree
For graphs of bounded maximum degree, we consider acyclic t-improper colourings, that is, colourings in which each bipartite subgraph consisting of the edges between two colour cl...
Louigi Addario-Berry, Louis Esperet, Ross J. Kang,...
ENDM
2007
140views more  ENDM 2007»
13 years 4 months ago
Acyclic dominating partitions
Given a graph G = (V, E), let P be a partition of V . We say that P is dominating if, for each part P of P, the set V \ P is a dominating set in G (equivalently, if every vertex h...
Louigi Addario-Berry, Ross J. Kang
CGO
2007
IEEE
13 years 11 months ago
Exploiting Narrow Accelerators with Data-Centric Subgraph Mapping
The demand for high performance has driven acyclic computation accelerators into extensive use in modern embedded and desktop architectures. Accelerators that are ideal from a sof...
Amir Hormati, Nathan Clark, Scott A. Mahlke