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Efficient enumeration of graceful permutations

Michal Adamaszek
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Abstract

A graceful n-permutation is a graceful labeling of an n-vertex path P_n. In this paper we improve the asymptotic lower bound on the number of such permutations from (5/3)^n to 2.37^n. This is a computer-assisted proof based on an effective algorithm that enumerates graceful n-permutations. Our algorithm is also presented in detail.

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Michal Adamaszek. 2006-08-21. Efficient enumeration of graceful permutations. https://arxiv.org/abs/math/0608513

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