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Results tagged with posets
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user 173055
A poset or partially ordered set is a set endowed with a partial order, meaning a binary relation $\leq$ which is reflexive ($x \leq x$ for all $x$), antisymmetric ($x\leq y$ and $y\leq x$ implies $x=y$), and transitive ($x\leq y$ and $y\leq z$ implies $x \leq z$).
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Sum of order polynomials of a set of posets
lessdot$ which is defined as
\begin{align*}
&\forall i\in S
& i+1&\lessdot i \\
&\forall i\in\left[n-1\right]\setminus S
& i&\lessdot i+1\\
\end{align*}
For instance if $n=3$ we have the posets …
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