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» Hardness of cut problems in directed 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...
STOC
2006
ACM
113views Algorithms» more  STOC 2006»
13 years 11 months ago
Logarithmic hardness of the directed congestion minimization problem
We show that for any constant ε > 0, there is no Ω(log1−ε M)approximation algorithm for the directed congestion minimization problem on networks of size M unless NP ⊆ Z...
Matthew Andrews, Lisa Zhang
CORR
2008
Springer
169views Education» more  CORR 2008»
13 years 5 months ago
Tight Approximation Ratio of a General Greedy Splitting Algorithm for the Minimum k-Way Cut Problem
For an edge-weighted connected undirected graph, the minimum k-way cut problem is to find a subset of edges of minimum total weight whose removal separates the graph into k connect...
Mingyu Xiao, Leizhen Cai, Andrew C. Yao
ESA
2009
Springer
149views Algorithms» more  ESA 2009»
13 years 12 months ago
Sparse Cut Projections in Graph Streams
Finding sparse cuts is an important tool for analyzing large graphs that arise in practice, such as the web graph, online social communities, and VLSI circuits. When dealing with s...
Atish Das Sarma, Sreenivas Gollapudi, Rina Panigra...
STOC
2007
ACM
134views Algorithms» more  STOC 2007»
14 years 5 months ago
Hardness of routing with congestion in directed graphs
Given as input a directed graph on N vertices and a set of source-destination pairs, we study the problem of routing the maximum possible number of source-destination pairs on pat...
Julia Chuzhoy, Venkatesan Guruswami, Sanjeev Khann...