Hardness of fully dense problems

11 years 9 months ago
Hardness of fully dense problems
In the past decade, there has been a stream of work in designing approximation schemes for dense instances of NP-Hard problems. These include the work of Arora, Karger and Karpinski from 1995 and that of Frieze and Kannan from 1996. We address the problem of proving hardness results for (fully) dense problems, which has been neglected despite the fruitful effort put in upper bounds. In this work we prove hardness results of dense instances of a broad family of CSP problems, as well as a broad family of ranking problems which we refer to as CSPRank. Our techniques involve a construction of a pseudorandom hypergraph coloring, which generalizes the well-known Paley graph, recently used by Alon to prove hardness of feedback arc-set in tournaments.
Nir Ailon, Noga Alon
Added 14 Dec 2010
Updated 14 Dec 2010
Type Journal
Year 2007
Authors Nir Ailon, Noga Alon
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