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6 questions
2
votes
1
answer
228
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Name for generalization of trees to digraphs
One definition of tree in graph theory could be as follows:
A tree is a(n undirected) graph for which there is a unique (undirected) path between any pair of vertices.
This suggest a possible ...
- 24.2k
1
vote
0
answers
82
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Name for a directed acyclic graph with no skip-level edges?
I'm looking at a specific class of DAGs, namely those DAGs such that any path from $u$ to $v$ has the same length. Informally, we don't allow "skip-level" edges. I understand these graphs ...
- 4,713
3
votes
0
answers
346
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Terminology for transforming a directed acyclic graph into a tree
I am looking for the term of converting a directed acyclic graph (DAG) into a tree by traversing its topologically ordered nodes and copying the subtrees of the nodes with in-degree $> 1$.
Such a ...
- 265
0
votes
1
answer
108
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Name for Directed Edges in Digraphs
Graph theory originated in German speaking countries and there directed edges are called "Pfeil" which translates to "arrow", which makes sense, because arrows have distinguishable ...
CommunityBot
- 1
4
votes
2
answers
418
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What Kind of Graph is This?
I am currently developing TSP heuristics that aim at symmetrically reducing the original, complete and undirected graph.
The overarching rationale is that the reduction is done via a sequence of ...
CommunityBot
- 1
4
votes
3
answers
390
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Name for directed graphs with "balanced cycles"
Does the following class of graphs have a name?
I'm interested in directed graphs with the following property: for every cycle (of the underlying undirected graph) half of the edges go in one ...
- 12.4k