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Incremental delay enumeration: Space and time

Abstract : We investigate the relationship between several enumeration complexity classes andfocus in particular on problems having enumeration algorithms with incremental andpolynomial delay ( IncP andDelayP respectively). We show that, for some algorithms, wecan 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 theExponential Time Hypothesis to exhibit a strict hierarchy inside IncP which gives the firstseparation of DelayP andIncP. Finally we relate the uniform generation of solutions toprobabilistic enumeration algorithms with polynomial delay and polynomial space.
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Submitted on : Tuesday, December 21, 2021 - 10:48:10 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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