descriptionPublicationkeyboard_double_arrow_right Part of book or chapter of book , Other literature type , Article 03 Jun 2010Publisher:Cambridge University Press (CUP)

Authors: Presutti, C. B.; Stromquist, Walter;

doi: 10.1017/cbo9780511902499.015

Packing rates of measures and a conjecture for the packing density of 2413

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Abstract

We give a new lower bound of 0.10472422757673209041 for the packing density of 2413, justify it by a construction, and conjecture that this value is actually equal to the packing density. Along the way we define the packing rate of a permutation with respect to a measure, and show that maximizing the packing rate of a pattern over all measures gives the packing density of the pattern.

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Keywords

Mathematics

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