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- In graph theory, an arborescence is a directed graph in which, for a vertex u (called the root) and any other vertex v, there is exactly one directed path from u to v. An arborescence is thus the directed-graph form of a rooted tree, understood here as an undirected graph. Equivalently, an arborescence is a directed, rooted tree in which all edges point away from the root; a number of other equivalent characterizations exist. Every arborescence is a directed acyclic graph (DAG), but not every DAG is an arborescence. An arborescence can equivalently be defined as a rooted digraph in which the path from the root to any other vertex is unique. (en)
- Ein Out-Tree ist in der Graphentheorie ein spezieller Graph, genauer ein gewurzelter Baum, bei dem die Kanten von der Wurzel ausgehen. (de)
- 在圖論內,樹狀圖(arborescence)是一個有向图;並且,對其中一個我們稱呼作根的頂點,以及任何其他頂點,此圖必然存在且只存在一條從到的路徑。換句話說,樹狀圖是一個有向的,有根的樹,並且所有的邊都指離根的方向。所有的樹狀圖都是一個有向无环图。 (zh)
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- 7209 (xsd:nonNegativeInteger)
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dbp:title
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- Arborescence (en)
- Rooted Tree (en)
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- Arborescence (en)
- RootedTree (en)
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rdfs:comment
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- Ein Out-Tree ist in der Graphentheorie ein spezieller Graph, genauer ein gewurzelter Baum, bei dem die Kanten von der Wurzel ausgehen. (de)
- 在圖論內,樹狀圖(arborescence)是一個有向图;並且,對其中一個我們稱呼作根的頂點,以及任何其他頂點,此圖必然存在且只存在一條從到的路徑。換句話說,樹狀圖是一個有向的,有根的樹,並且所有的邊都指離根的方向。所有的樹狀圖都是一個有向无环图。 (zh)
- In graph theory, an arborescence is a directed graph in which, for a vertex u (called the root) and any other vertex v, there is exactly one directed path from u to v. An arborescence is thus the directed-graph form of a rooted tree, understood here as an undirected graph. Equivalently, an arborescence is a directed, rooted tree in which all edges point away from the root; a number of other equivalent characterizations exist. Every arborescence is a directed acyclic graph (DAG), but not every DAG is an arborescence. (en)
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rdfs:label
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- Out-Tree (de)
- Arborescence (graph theory) (en)
- Arborescenza (it)
- 樹狀圖 (zh)
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