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- Directed_acyclic_graph abstract "In mathematics and computer science, a directed acyclic graph (DAG /ˈdæɡ/), is a directed graph with no directed cycles. That is, it is formed by a collection of vertices and directed edges, each edge connecting one vertex to another, such that there is no way to start at some vertex v and follow a sequence of edges that eventually loops back to v again.DAGs may be used to model many different kinds of information. A collection of tasks that must be ordered into a sequence, subject to constraints that certain tasks must be performed earlier than others, may be represented as a DAG with a vertex for each task and an edge for each constraint; algorithms for topological ordering may be used to generate a valid sequence. DAGs may also be used to model processes in which data flows in a consistent direction through a network of processors. The reachability relation in a DAG forms a partial order, and any finite partial order may be represented by a DAG using reachability. Additionally, DAGs may be used as a space-efficient representation of a collection of sequences with overlapping subsequences.The corresponding concept for undirected graphs is a forest, an undirected graph without cycles. Choosing an orientation for a forest produces a special kind of directed acyclic graph called a polytree. However there are many other kinds of directed acyclic graph that are not formed by orienting the edges of an undirected acyclic graph, and every undirected graph has an acyclic orientation, an assignment of a direction for its edges that makes it into a directed acyclic graph. For this reason it may be more accurate to call directed acyclic graphs acyclic directed graphs or acyclic digraphs.".
- Directed_acyclic_graph thumbnail Directed_acyclic_graph_3.svg?width=300.
- Directed_acyclic_graph wikiPageID "204002".
- Directed_acyclic_graph wikiPageRevisionID "602942432".
- Directed_acyclic_graph hasPhotoCollection Directed_acyclic_graph.
- Directed_acyclic_graph title "Acyclic Digraph".
- Directed_acyclic_graph urlname "AcyclicDigraph".
- Directed_acyclic_graph subject Category:Directed_graphs.
- Directed_acyclic_graph type Abstraction100002137.
- Directed_acyclic_graph type Communication100033020.
- Directed_acyclic_graph type DirectedGraphs.
- Directed_acyclic_graph type Graph107000195.
- Directed_acyclic_graph type VisualCommunication106873252.
- Directed_acyclic_graph comment "In mathematics and computer science, a directed acyclic graph (DAG /ˈdæɡ/), is a directed graph with no directed cycles. That is, it is formed by a collection of vertices and directed edges, each edge connecting one vertex to another, such that there is no way to start at some vertex v and follow a sequence of edges that eventually loops back to v again.DAGs may be used to model many different kinds of information.".
- Directed_acyclic_graph label "Directed acyclic graph".
- Directed_acyclic_graph label "Grafo aciclico diretto".
- Directed_acyclic_graph label "Grafo acíclico dirigido".
- Directed_acyclic_graph label "Grafos acíclicos dirigidos".
- Directed_acyclic_graph label "Graphe orienté acyclique".
- Directed_acyclic_graph label "Skierowany graf acykliczny".
- Directed_acyclic_graph label "Направленный ациклический граф".
- Directed_acyclic_graph label "有向无环图".
- Directed_acyclic_graph sameAs Κατευθυνόμενος_άκυκλος_γράφος.
- Directed_acyclic_graph sameAs Grafo_acíclico_dirigido.
- Directed_acyclic_graph sameAs Graphe_orienté_acyclique.
- Directed_acyclic_graph sameAs Grafo_aciclico_diretto.
- Directed_acyclic_graph sameAs Skierowany_graf_acykliczny.
- Directed_acyclic_graph sameAs Grafos_acíclicos_dirigidos.
- Directed_acyclic_graph sameAs m.01cz6_.
- Directed_acyclic_graph sameAs Q1195339.
- Directed_acyclic_graph sameAs Q1195339.
- Directed_acyclic_graph sameAs Directed_acyclic_graph.
- Directed_acyclic_graph wasDerivedFrom Directed_acyclic_graph?oldid=602942432.
- Directed_acyclic_graph depiction Directed_acyclic_graph_3.svg.
- Directed_acyclic_graph isPrimaryTopicOf Directed_acyclic_graph.