A Lemma and a Conjecture on the Cost of Rearrangements

dc.creatorBressan, Alberto
dc.date2003-02-19
dc.date.accessioned2026-07-07T04:55:25Z
dc.date.available2026-07-07T04:55:25Z
dc.descriptionConsider a stack of books, containing both white and black books. Suppose that we want to sort them out, putting the white books on the right, and the black books on the left (fig.~1). This will be done by a finite sequence of elementary transpositions. In other words, if we have a stack of all black books of length $a$ followed by a stack of all white books of length $b$, we are allowed to reverse their order at the cost of $a+b$. We are interested in a lower bound on the total cost of the rearrangement.
dc.description2 figures, 4 pages
dc.identifierhttps://arxiv.org/abs/math/0302228
dc.identifierhttp://arxiv.org/abs/math/0302228
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66571
dc.subjectAnalysis of PDEs
dc.titleA Lemma and a Conjecture on the Cost of Rearrangements
dc.typetext

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