Bounding quantities related to the packing density of 1 (l+1)l•••2

被引:7
作者
Hildebrand, M
Sagan, BE
Vatter, VR [1 ]
机构
[1] Rutgers State Univ, Dept Math, Piscataway, NJ 08854 USA
[2] Michigan State Univ, Dept Math, E Lansing, MI 48824 USA
[3] SUNY Albany, Dept Math & Stat, Albany, NY 12222 USA
基金
美国国家科学基金会;
关键词
D O I
10.1016/j.aam.2004.01.002
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We bound several quantities related to the packing density of the patterns 1(l+1)l...2. These bounds sharpen results of Bona, 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. (C) 2004 Elsevier Inc. All rights reserved.
引用
收藏
页码:633 / 653
页数:21
相关论文
共 6 条
  • [1] Albert MH, 2002, ELECTRON J COMB, V9
  • [2] Pattern frequency sequences and internal zeros
    Bóna, M
    Sagan, BE
    Vatter, VR
    [J]. ADVANCES IN APPLIED MATHEMATICS, 2002, 28 (3-4) : 395 - 420
  • [3] Burstein A., 2003, ELECTRON J COMB, V9, pR20
  • [4] HASTO P, 2002, ELECTRON J COMB, V9, pR1
  • [5] Price A. L., 1997, THESIS U PENNSYLVANI
  • [6] STROMQUIST W, UNPUB