6 search results - page 1 / 2 » Inapproximability of Hypergraph Vertex Cover and Application... |
ICALP
2010
Springer
13 years 9 months ago
2010
Springer
Assuming the Unique Games Conjecture (UGC), we show optimal inapproximability results for two classic scheduling problems. We obtain a hardness of 2 − ε for the problem of mini...
ICALP
2010
Springer
13 years 9 months ago
2010
Springer
Computing a minimum vertex cover in graphs and hypergraphs is a well-studied optimizaton problem. While intractable in general, it is well known that on bipartite graphs, vertex c...
STOC
2003
ACM
13 years 10 months ago
2003
ACM
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...
ICALP
2011
Springer
12 years 8 months ago
2011
Springer
In [13], Erd˝os et al. defined the local chromatic number of a graph as the minimum number of colors that must appear within distance 1 of a vertex. For any ∆ ≥ 2, there are ...
ESA
2003
Springer
13 years 10 months ago
2003
Springer
We prove that various geometric covering problems, related to the Travelling Salesman Problem cannot be efficiently approximated to within any constant factor unless P = NP. This ...