# Questions tagged [partial-order]

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### How to convert a dependency graph to series-parallel representation?

I'm given a finite partial order, in the form of a dependency graph between items, and I'd like to have it in series-parallel form (Wikipedia). So formally, given a finite partial order $\le$ on a ...
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### Components of subset partial order

Given a collection C of sets, there are a number of proposed algorithms for building the subset partial order, e.g. this paper. But is there any work on algorithms ...
71 views

### Measuring the Union of Products of Intervals

Verbose Motivation for this Question Inspired by this paper about how the problem of counting unlabelled subtrees that are unique up to isomorphism is #P-complete, I was thinking about the problem ...
99 views

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### Complete Partial Order of Partial Functions with Different Outputs

Since a partial function can be seen as a set of tuples, there is a trivial CPO defined by the subset relation on partial functions of the same (co-)domain. However, this is not really useful. What I'...
102 views

### Methods for generating DAG with small Minimum Path Cover

On a directed acyclic graph $G=(V,E)$ the Minimum Path Cover (MPC) is the minimum number of paths that can be constructed on the DAG such that all vertices are covered by at least one path. If one was ...