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Yu Cong 2025-05-06 12:07:58 +08:00
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@ -179,7 +179,7 @@ IP\ref{IP} has an integrality gap of 2.
Suppose that $\mu^*$ is the optimal solution to LP\ref{lp:dualcutint}. Let $\lambda^{fr}$ and $\lambda^{int}$ be the fractional and integral mincut with capacity $w_{\mu^*}$.
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Conjecture \ref{conj:gap2} implies $w_{\mu^*}(C^*)+b\mu^* \geq (\text{value of mincut with $w_{\mu^*}$})$, \newline which is stronger than Theorem \ref{thm:2approx}.
Conjecture \ref{conj:gap2} implies $w_{\mu^*}(C^*)+b\mu^* \leq 2(\text{value of mincut with $w_{\mu^*}$})$, \newline which is stronger than Theorem \ref{thm:2approx}.
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