Document Type
Conference Proceeding
Publication Date
2010
Published In
Permutation Patterns: St. Andrews 2007
Series Title
London Mathematical Society Lecture Note Series
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
Recommended Citation
C. B. Presutti and Walter Stromquist.
(2010).
"Packing Rates Of Measures And A Conjecture For The Packing Density Of 2413".
Permutation Patterns: St. Andrews 2007.
Volume 376,
287-316.
DOI: 10.1017/CBO9780511902499.015
https://works.swarthmore.edu/fac-math-stat/230
Comments
This material has been published in Permutation Patterns, edited by Steve Linton, Nik Ruškuc, and Vincent Vatter. This version is free to view and download for private research and study only. Not for re-distribution or re-use. © Cambridge University Press 2010.