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

Tetsuo Yokoyama

Source record

Source: arXiv

Published: Sep 14, 2026

arXiv: 2609.15062

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Source abstract

We determine the exact time exponent of space-optimal reversible pebbling on chains as 1.3317423792563101.331742379256310\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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The Exact Growth Rate of Space-Optimal Reversible Pebbling on Chains — Mathematical Frontier Network