On the poset of all posets on n elements

On the poset of all posets on n elements

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Article ID: iaor1996351
Country: Netherlands
Volume: 50
Issue: 2
Start Page Number: 111
End Page Number: 123
Publication Date: May 1994
Journal: Discrete Applied Mathematics
Authors: , ,
Abstract:

The authors consider the poset of all posets on n elements where the partial order is that of inclusion of comparabilities. They discuss some properties of this poset concerning its height, width, jump number and dimension. The authors also give algorithms to construct some maximal chains in this poset which have special properties for these parameters.

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