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Incremental delay enumeration: Space and time

Abstract : We investigate the relationship between several enumeration complexity classes and focus in particular on problems having enumeration algorithms with incremental and polynomial delay ( IncP andDelayP respectively). We show that, for some algorithms, we can turn an average delay into a worst case delay without increasing the space complexity, suggesting that IncP1 = DelayP even with polynomially bounded space. We use the Exponential Time Hypothesis to exhibit a strict hierarchy inside IncP which gives the first separation of DelayP andIncP. Finally we relate the uniform generation of solutions to probabilistic enumeration algorithms with polynomial delay and polynomial space.
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Contributor : Florent Capelli Connect in order to contact the contributor
Submitted on : Wednesday, November 14, 2018 - 10:30:52 PM
Last modification on : Wednesday, November 3, 2021 - 6:04:56 AM

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Florent Capelli, Yann Strozecki. Incremental delay enumeration: Space and time. Discrete Applied Mathematics, Elsevier, 2018, ⟨10.1016/j.dam.2018.06.038⟩. ⟨hal-01923091⟩



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