Efficient enumeration of graceful permutations

dc.creatorAdamaszek, Michal
dc.date2006-08-21
dc.date.accessioned2026-07-07T07:21:59Z
dc.date.available2026-07-07T07:21:59Z
dc.descriptionA 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.
dc.description5 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/math/0608513
dc.identifierhttp://arxiv.org/abs/math/0608513
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/115497
dc.subjectCombinatorics
dc.subject05C78 (Primary), 11Y55 (Secondary)
dc.titleEfficient enumeration of graceful permutations
dc.typetext

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