Title
Approximating Dense Max 2-CSPs
Abstract
In this paper, we present a polynomial-time algorithm that approximates sufficiently high-value Max 2-CSPs on sufficiently dense graphs to within $O(N^{\varepsilon})$ approximation ratio for any constant $\varepsilon > 0$. Using this algorithm, we also achieve similar results for free games, projection games on sufficiently dense random graphs, and the Densest $k$-Subgraph problem with sufficiently dense optimal solution. Note, however, that algorithms with similar guarantees to the last algorithm were in fact discovered prior to our work by Feige et al. and Suzuki and Tokuyama. In addition, our idea for the above algorithms yields the following by-product: a quasi-polynomial time approximation scheme (QPTAS) for satisfiable dense Max 2-CSPs with better running time than the known algorithms.
Year
DOI
Venue
2015
10.4230/LIPIcs.APPROX-RANDOM.2015.396
APPROX-RANDOM
Field
DocType
Volume
Discrete mathematics,Graph,Combinatorics,Random graph,Mathematics
Journal
abs/1507.08348
Citations 
PageRank 
References 
1
0.35
13
Authors
2
Name
Order
Citations
PageRank
Pasin Manurangsi16228.79
Dana Moshkovitz236819.14