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The Exact Growth Rate of Space-Optimal Reversible Pebbling on Chains

Yokoyama, Tetsuo
arXiv (OAI Expanded) · Papers
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68q25combinatoricscomputational-complexityg-2-1
We determine the exact time exponent of space-optimal reversible pebbling on chains as $1.331742379256310\ldots$. The growth rate of space-optimal reach exists as a limit and admits a variational formula. The same exponent governs complete computations at minimal space, uniformly in the chain length
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