每个节点最多有一个出站边缘的完全连接的有向图叫什么?
What do you call a fully connected directed graph where each node has at most one outbound edge?
每个节点最多只有一条入站边的全连接有向图是一棵树。每个节点最多只有一个出站边的完全连接的有向图是否有名称?反树?!
我相信这确实有一个名字——它是一个有向伪树。
来自Wikipedia article on pseudoforests:
A directed pseudoforest is a directed graph in which each vertex has
at most one outgoing edge; that is, it has outdegree at most one. A
directed 1-forest – most commonly called a functional graph, sometimes maximal directed pseudoforest – is a directed graph
in which each vertex has outdegree exactly one.[8] If D is a directed
pseudoforest, the undirected graph formed by removing the direction
from each edge of D is an undirected pseudoforest.
因此,我们可以将您在上面描述的图称为 有向伪森林。您还注意到该图是连通的。来自同一页面:
A pseudotree is a connected pseudoforest.
因此,术语有向伪树。
这是无向伪森林的正确定义,供您参考,来自 Wolfram Alpha:
A pseudoforest is an undirected graph in which every connected
component contains at most one graph cycle. A pseudotree is therefore
a connected pseudoforest and a forest (i.e., not-necessarily-connected
acyclic graph) is a trivial pseudoforest.
Some care is needed when encountering pseudoforests as some authors
use the term to mean "a pseudoforest that is not a forest."
每个节点最多只有一条入站边的全连接有向图是一棵树。每个节点最多只有一个出站边的完全连接的有向图是否有名称?反树?!
我相信这确实有一个名字——它是一个有向伪树。
来自Wikipedia article on pseudoforests:
A directed pseudoforest is a directed graph in which each vertex has at most one outgoing edge; that is, it has outdegree at most one. A directed 1-forest – most commonly called a functional graph, sometimes maximal directed pseudoforest – is a directed graph in which each vertex has outdegree exactly one.[8] If D is a directed pseudoforest, the undirected graph formed by removing the direction from each edge of D is an undirected pseudoforest.
因此,我们可以将您在上面描述的图称为 有向伪森林。您还注意到该图是连通的。来自同一页面:
A pseudotree is a connected pseudoforest.
因此,术语有向伪树。
这是无向伪森林的正确定义,供您参考,来自 Wolfram Alpha:
A pseudoforest is an undirected graph in which every connected component contains at most one graph cycle. A pseudotree is therefore a connected pseudoforest and a forest (i.e., not-necessarily-connected acyclic graph) is a trivial pseudoforest.
Some care is needed when encountering pseudoforests as some authors use the term to mean "a pseudoforest that is not a forest."