Are stable instances easy?

Yonatan Bilu; Nathan Linial

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arXiv · 0906.3162

Are stable instances easy?

Yonatan Bilu·Nathan Linial

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Abstract

We introduce the notion of a stable instance for a discrete optimization problem, and argue that in many practical situations only sufficiently stable instances are of interest. The question then arises whether stable instances of NP--hard problems are easier to solve. In particular, whether there exist algorithms that solve correctly and in polynomial time all sufficiently stable instances of some NP--hard problem. The paper focuses on the Max--Cut problem, for which we show that this is indeed the case.

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Yonatan Bilu, Nathan Linial. 2009-06-17. Are stable instances easy?. https://arxiv.org/abs/0906.3162

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