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- W3103204328 abstract "We study the Reaching Stable Marriage via Divorces (DivorceSM) problem of deciding, given a Stable Marriage instance and an initial matching $M$ , whether there exists a stable matching which is reachable from $M$ by divorce operations as introduced by Knuth [12]. Towards answering an open question of Manlove [13] and Cechlarova et al. [3], we show that for incomplete preferences without ties, DivorceSM is NP-hard. Our hardness reduction also implies that the problem remains parameterized intractable for the number $kappa$ of allowed divorce operations. It remains NP-hard even if the maximum length $d$ of the preferences is a constant. For the combined parameter ($kappa$, $d$), the problem is fixed-parameter tractable." @default.
- W3103204328 created "2020-11-23" @default.
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- W3103204328 date "2019-06-28" @default.
- W3103204328 modified "2023-09-30" @default.
- W3103204328 title "Reaching Stable Marriage via Divorces is Hard" @default.
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