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» Covering Problems with Hard Capacities
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STOC
2003
ACM
109views Algorithms» more  STOC 2003»
13 years 11 months ago
A new multilayered PCP and the hardness of hypergraph vertex cover
Given a k-uniform hypergraph, the Ek-Vertex-Cover problem is to find the smallest subset of vertices that intersects every hyperedge. We present a new multilayered PCP constructi...
Irit Dinur, Venkatesan Guruswami, Subhash Khot, Od...
IPL
2008
135views more  IPL 2008»
13 years 5 months ago
On the Positive-Negative Partial Set Cover problem
The Positive-Negative Partial Set Cover problem is introduced and its complexity, especially the hardness-of-approximation, is studied. The problem generalizes the Set Cover probl...
Pauli Miettinen
TIT
2011
131views more  TIT 2011»
13 years 21 days ago
On the Hardness of Approximating the Network Coding Capacity
Abstract—This work addresses the computational complexity of achieving the capacity of a general network coding instance. We focus on the linear capacity, namely the capacity of ...
Michael Langberg, Alexander Sprintson
MST
2011
191views Hardware» more  MST 2011»
13 years 19 days ago
Vertex Cover Problem Parameterized Above and Below Tight Bounds
Abstract. We study the well-known Vertex Cover problem parameterized above and below tight bounds. We show that two of the parameterizations (both were suggested by Mahajan, Raman ...
Gregory Gutin, Eun Jung Kim, Michael Lampis, Valia...
SIAMCOMP
2008
101views more  SIAMCOMP 2008»
13 years 5 months ago
Combination Can Be Hard: Approximability of the Unique Coverage Problem
We prove semi-logarithmic inapproximability for a maximization problem called unique coverage: given a collection of sets, find a subcollection that maximizes the number of elemen...
Erik D. Demaine, Uriel Feige, MohammadTaghi Hajiag...