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DM
2010
124views more  DM 2010»
14 years 11 months ago
Asymptotic enumeration of 2-covers and line graphs
A 2-cover is a multiset of subsets of [n] := {1, 2, . . . , n} such that each element of [n] lies in exactly two of the subsets. A 2-cover is called proper if all of the subsets o...
Peter J. Cameron, Thomas Prellberg, Dudley Stark
STOC
2003
ACM
109views Algorithms» more  STOC 2003»
15 years 5 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...
MST
2010
117views more  MST 2010»
14 years 10 months ago
Class Constrained Bin Covering
We study the following variant of the bin covering problem. We are given a set of unit sized items, where each item has a color associated with it. We are given an integer paramet...
Leah Epstein, Csanád Imreh, Asaf Levin
JCO
2010
182views more  JCO 2010»
14 years 10 months ago
Polynomial time approximation schemes for minimum disk cover problems
The following planar minimum disk cover problem is considered in this paper: given a set D of n disks and a set P of m points in the Euclidean plane, where each disk covers a subse...
Chen Liao, Shiyan Hu
CCCG
2007
15 years 1 months ago
A Lower Bound on the Area of a 3-Coloured Disc Packing
Given a set of unit-discs in the plane with union area A, what fraction of A can be covered by selecting a pairwise disjoint subset of the discs? Rado conjectured
Peter Brass, Ferran Hurtado, Benjamin J. Lafrenier...