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4 votes
1 answer
490 views

Intuitive explanation behind Goemans-Williamson randomized rounding

A very simple randomized cut algorithm achieves $1/2$ of the optimal value: just choose each vertex to be in the cut with probability $1/2$, independently. Goemans-Williamson does something more ...
Aryeh's user avatar
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8 votes
3 answers
1k views

Hardness of MAX-CUT on sparse graphs

Let a weighted graph $G(V,E)$, where the weights are real (positve and negative). Assume that $G$ has $\mathcal{O}(n\log n)$ edges. How fast can we compute MAX-CUT on this graph? Can we compute (...
Dimitris's user avatar
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