Bounding quantities related to the packing density of 1(L+1)L...2
Combinatorics
2007-05-23 v1
Abstract
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.
Cite
@article{arxiv.math/0405512,
title = {Bounding quantities related to the packing density of 1(L+1)L...2},
author = {Martin Hildebrand and Bruce E. Sagan and Vincent Vatter},
journal= {arXiv preprint arXiv:math/0405512},
year = {2007}
}
Comments
20 pages, 1 figure, Latex, to be published in Advances in Applied Math., see related papers at http://www.math.msu.edu/~sagan