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Electronic Colloquium on Computational Complexity

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Reports tagged with Max-Clique:
TR15-074 | 29th April 2015
Mark Braverman, Young Kun Ko, Aviad Rubinstein, Omri Weinstein

ETH Hardness for Densest-$k$-Subgraph with Perfect Completeness

We show that, assuming the (deterministic) Exponential Time Hypothesis, distinguishing between a graph with an induced $k$-clique and a graph in which all $k$-subgraphs have density at most $1-\epsilon$, requires $n^{\tilde \Omega(log n)}$ time. Our result essentially matches the quasi-polynomial algorithms of Feige and Seltser [FS97] and Barman [Bar15] for ... more >>>

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