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

نویسندگان

  • Martin Hildebrand
  • Bruce E. Sagan
  • Vincent R. Vatter
چکیده

We bound several quantities related to the packing density of the patterns 1(l+ 1)l . . . 2. These bounds sharpen results of Bóna, 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.

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2 6 M ay 2 00 4 Bounding quantities related to the packing density of 1 ( l + 1 ) l . . . 2

We bound several quantities related to the packing density of the patterns 1(l+ 1)l . . . 2. These bounds sharpen results of Bóna, 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.

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

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تاریخ انتشار 2004