View source for Threshold order

A [[partial order]] on a finite set $P$ with the property that there is a weight function $w : P \rightarrow \mathbf{R}$ and a threshold $T$ such that $C$ is a [[chain]] (linearly ordered subset) if and only if $\sum_{x \in C} w(x) \le T$.   The [[comparability graph]] of a threshold order is a [[threshold graph]].  

==References==
* Andreas Brandstädt, Van Bang Le; Jeremy P. Spinrad, "Graph classes: a survey". SIAM Monographs on Discrete Mathematics and Applications '''3'''. Society for Industrial and Applied Mathematics (1999) {{ISBN|978-0-898714-32-6}} {{ZBL|0919.05001}}

{{TEX|done}}