On the Integrality Gap of Degree-4 Sum of Squares for Planted Clique

ACM Trans. Algorithms, Volume 14, Issue 3, 2018, Pages 28:1-28:31.

Cited by: 31|Views58
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Abstract:

The problem of finding large cliques in random graphs and its “planted” variant, where one wants to recover a clique of size ω > log (n) added to an Erdős-Rényi graph G ∼ G(n,1/2), have been intensely studied. Nevertheless, existing polynomial time algorithms can only recover planted cliques of size ω = Ω (√ n). By contrast, information t...More

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