Title

Packing Rates Of Measures And A Conjecture For The Packing Density Of 2413

Document Type

Conference Proceeding

Publication Date

2010

Published In

Permutation Patterns: St. Andrews 2007

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.

Published By

Cambridge University Press

Editor(s)

S. Linton, N. Ruškuc, V. Vatter

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