mathematics, particularly graph theory, and computer science, a directed acyclic graph (DAG) is a directed graph with no directed cycles. That is, it consists...

any directed cycle and therefore makes it into a directed acyclic graph. Every graph has an acyclic orientation. The chromatic number of any graph equals...

more specifically in graph theory, a directed graph (or digraph) is a graph that is made up of a set of vertices connected by directed edges, often called...

takes the form of a directed acyclic graph with a single source vertex (a vertex with no incoming edges), in which each edge of the graph is labeled by a...

since it is not transitive. The graph corresponding to the Levi graph of this generalization is a directed acyclic graph. Consider, for example, the generalized...

trees. A directed tree, oriented tree, polytree, or singly connected network is a directed acyclic graph (DAG) whose underlying undirected graph is a tree...

Acyclic graph may refer to: Directed acyclic graph, a directed graph without any directed cycles Forest (graph theory), an undirected acyclic graph Polytree...

acyclic graph. A directed graph without directed cycles is called a directed acyclic graph. A connected graph without cycles is called a tree. A circuit...

the graph. Removing these edges from the graph breaks all of the cycles, producing an acyclic subgraph of the given graph, often called a directed acyclic...

A propositional directed acyclic graph (PDAG) is a data structure that is used to represent a Boolean function. A Boolean function can be represented as...

Directed acyclic word graph (DAWG) may refer to two related, but distinct, automata constructions in computer science: Deterministic acyclic finite state...

thing as a forest. An acyclic directed graph, which is a digraph without directed cycles, is often called a directed acyclic graph, especially in computer...

called least common ancestor) of two nodes v and w in a tree or directed acyclic graph (DAG) T is the lowest (i.e. deepest) node that has both v and w as descendants...

In graph theory, a moral graph is used to find the equivalent undirected form of a directed acyclic graph. It is a key step of the junction tree algorithm...

construction of a layered graph drawing proceeds in a sequence of steps: If the input graph is not already a directed acyclic graph, a set of edges is identified...

possible among all graphs with that property. The transitive reduction of a finite directed acyclic graph (a directed graph without directed cycles) is unique...

that takes the form of a directed acyclic graph. Ancestral graphs are mixed graphs used with three kinds of edges: directed edges, drawn as an arrow from...

specifically in graph theory, a polytree (also called directed tree, oriented tree or singly connected network) is a directed acyclic graph whose underlying...

Longest paths of directed acyclic graphs may also be applied in layered graph drawing: assigning each vertex v of a directed acyclic graph G to the layer...

A graph without a cycle, especially A directed acyclic graph An acyclic complex is a chain complex all of whose homology groups are zero An acyclic space...

graph. A directed graph is called an oriented graph if none of its pairs of vertices is linked by two mutually symmetric edges. Among directed graphs, the...

which handled only directed acyclic graphs. At its simplest, DOT can be used to describe an undirected graph. An undirected graph shows simple relations...

Zero-suppressed decision diagram And-inverter graph Directed graph Directed acyclic graph Propositional directed acyclic graph Multigraph Hypergraph Lightmap Winged...

other equivalent characterizations exist. Every arborescence is a directed acyclic graph (DAG), but not every DAG is an arborescence. The term arborescence...

a single vertex, the resulting graph is a directed acyclic graph, the condensation of G. A directed graph is acyclic if and only if it has no strongly...

(or directed forest or oriented forest) is a directed acyclic graph whose underlying undirected graph is a forest. More advanced kinds of graphs are:...

f_{AB},f_{AC},f_{AD}} . If the network structure of the model is a directed acyclic graph, the model represents a factorization of the joint probability of...

ordering is possible if and only if the graph has no directed cycles, that is, if it is a directed acyclic graph (DAG). Any DAG has at least one topological...

have flow 1 {\displaystyle 1} in an integral max-flow. Given a directed acyclic graph G = ( V , E ) {\displaystyle G=(V,E)} , we are to find the minimum...

st-planar graph can reach another in constant time per query. Rotating such a drawing by 45° gives an upward planar drawing of the graph. A directed acyclic graph...