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Questions about the branch of combinatorics called graph theory (not to be used for questions concerning the graph of a function). This tag can be further specialized via using it in combination with more specialized tags such as extremal-graph-theory, spectral-graph-theory, algebraic-graph-theory, topological-graph-theory, random-graphs, graph-colorings and several others.

1 vote

Characterization of edge posets

The result that each N - free partial order is the edge - partial order of an unique e - bipolarly oriented graph, implies that a poset is an edge poset if and only if it is N-free. Proof:$(\Rightarr …
xuexing lu's user avatar
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Characterization of edge posets

Given an acyclic directed graph $G$, the set $E(G)$ of edges of $G$ equipped with the reachable order $\to$ is called the edge poset of $G$, where for two edges $e_1\to e_2$ means that there is a dir …
xuexing lu's user avatar
1 vote

Graph theory from a category theory perspective

You may be interested in my arXiv paper: Causal-net category, https://arxiv.org/abs/2201.08963. I totally agree with Mirco A. Mannucci \bib{384818}{misc}{ title={Graph theory from a category theory pe …