arXiv:math/0405512 Abstract

arXiv:math/0405512 [math.CO]Abstract References Reviews Resources

Bounding quantities related to the packing density of 1(L+1)L...2

Martin Hildebrand, Bruce E. Sagan, Vincent Vatter

Published 2004-05-26Version 1

We bound several quantities related to the packing density of the patterns 1(L+1)L...2. These bounds sharpen results of B\'ona, Sagan, and Vatter and give a new proof of the packing density of these patterns, originally computed by Stromquist in the case L=2 and by Price for larger L. We end with comments and conjectures.

Comments: 20 pages, 1 figure, Latex, to be published in Advances in Applied Math., see related papers at http://www.math.msu.edu/~sagan

Categories: math.CO

Subjects: 05A20, 05E99

Keywords: packing density, bounding quantities, bounds sharpen results, stromquist

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