Reconstructing compositions

dc.creatorVatter, Vincent
dc.date2006-10-16
dc.date.accessioned2026-07-07T07:29:06Z
dc.date.available2026-07-07T07:29:06Z
dc.descriptionWe consider the problem of reconstructing compositions of an integer from their subcompositions, which was raised by Raykova (albeit disguised as a question about layered permutations). We show that every composition w of n\ge 3k+1 can be reconstructed from its set of k-deletions, i.e., the set of all compositions of n-k contained in w. As there are compositions of 3k with the same set of k-deletions, this result is best possible.
dc.identifierhttps://arxiv.org/abs/math/0610477
dc.identifierhttp://arxiv.org/abs/math/0610477
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/117977
dc.subjectCombinatorics
dc.titleReconstructing compositions
dc.typetext

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