Imagine we have a partially ordered set like $(X,R)$. So, a set like $X$ is partially ordered by a relation like $R$.
We define $\delta(X):=$minimum number of chains in $X$ which covers poset
My Question is :
1. How many ways can i partition $X$ to $\delta(X)$ chains?
2. Can $\delta(X)$ be calculated by an algorithm of formula? If so, how?