Problems and results in partially ordered sets, graphs and geometry

The thesis consist of three independent parts. In the first part, we investigate the height sequence of an element of a partially ordered set. Let $x$ be an element of the partially ordered set $P$. Then $h_i(x)$ is the number of linear extensions of $P$ in which $x$ is in the $i$th lowest position....

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Bibliographic Details
Main Author: Biro, Csaba
Published: Georgia Institute of Technology 2008
Subjects:
Online Access:http://hdl.handle.net/1853/24719