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...cycle edge that make the resulting directed graph [[Directed acyclic graph|acyclic]]. Two orientations are shown as adjacent when they differ in the direction ...d therefore makes it into a [[directed acyclic graph]]. Every graph has an acyclic orientation. ...

{{short description|Directed acyclic graph with ≤1 directed paths between any two nodes}} ...ructures: a [[directed acyclic graph]] (DAG) in which there is at most one directed path between any two [[Vertex (graph theory)|vertices]], or equivalently in ...

...of pairs, where the digits represent the [[directed graph|indegree]] and [[directed graph|outdegree]] of a given vertex respectively. The problem asks whether ...]] <math>v_i</math> has [[directed graph|indegree]] <math>a_i</math> and [[directed graph|outdegree]] <math>b_i</math>. ...

{{unsolved|mathematics|Does the minimum number of edges in a dicut of a directed graph always equal the maximum number of disjoint dijoins?}} In the mathematics of [[directed graph]]s, '''Woodall's conjecture''' is an unproven relationship between [[ ...

...the '''zero-weight cycle problem''' is the problem of deciding whether a [[directed graph]] with weights on the edges (which may be positive or negative or zer ...graph]]. Therefore, the special case of the zero-weight cycle problem, on graphs with no negative cycle, has a [[polynomial time|polynomial-time]] algorithm ...

[[File:Directed graph no background.svg|upright|thumb|A simple directed graph]] ...hat is made up of a set of [[Vertex (graph theory)|vertices]] connected by directed [[Edge (graph theory)|edges]], often called '''arcs'''. ...

{{Short description|Graph with directed and undirected edges}} ...d) [[edge (graph theory)|edges]] {{mvar|E}}, and a set of [[Directed graph|directed]] edges (or arcs) {{mvar|A}}.<ref name="BeckBladoCrawfordJeanLouisYoung">{{ ...

...[[longest path problem|longest paths]] and [[graph coloring|colorings]] in graphs, and to the [[Erdős–Szekeres theorem]] on monotonic subsequences. ...heorem]] of {{harvtxt|Lovász|1972}} states that the complements of perfect graphs are always perfect, and can be used to deduce Dilworth's theorem from Mirsk ...

...e interpretations share common properties that can be captured by paths in graphs (hence the name "graphoid"). The theory of graphoids characterizes these pr ...respondence between dependence and graphs was later extended to [[directed acyclic graph]]s (DAGs)<ref name=pearl:86>{{cite journal|last1=Pearl|first1=Judea|t ...

The algorithms treat resolution proofs as [[directed acyclic graph]]s, where each node is labeled by a clause and each node has either o ...dy visited. Note that a resolution proof can be seen as a general directed acyclic graph as opposed to a tree. ...

...ge]]. AMR graphs are rooted, labeled, directed, acyclic graphs ([[Directed acyclic graph|DAGs]]), comprising whole sentences. They are intended to abstract aw ...

...tation has the additional property that the orientation forms a [[directed acyclic graph]], which happens when unique sink orientations are used to model [[LP ...ure, the face lattices of simple polytopes can be reconstructed from their graphs in [[polynomial time]] using [[linear programming]] {{harv|Friedman|2009}}. ...

In [[graph drawing]], an '''upward planar drawing''' of a [[directed acyclic graph]] is an [[Graph embedding|embedding]] of the graph into the [[Euclide ...graph ''G'' has an upward planar drawing if and only if it is directed and acyclic, and is a subgraph of an ''st''-planar graph on the same vertex set.<ref>{{ ...

...[Orientation (graph theory)|orientations]] of a 5-cycle, showing a maximal acyclic subgraph of each orientation (solid edges) and a coloring of the vertices b ...the longest path has minimum length always include at least one {{nowrap|[[acyclic orientation]].{{r|no12}}}} ...

{{for|related notion (also called cycle rank) in undirected graphs|circuit rank}} ...st is acyclic, being a DAG, so has a cycle rank of 0. The second and third graphs have the same cycle rank, because there is a point in each where, if remove ...

...rst1=M. A. |last2=Pevzner |first2=P. A. |date=2009-02-13 |title=Breakpoint graphs and ancestral genome reconstructions |journal=Genome Research |publisher=Co ...is labeled as BreakpointGraph(''P, Q'').<ref>{{Citation |title=Breakpoint Graphs | date=19 May 2014 |url=https://www.youtube.com/watch?v=nrCG6P3I2BI |langua ...

...m|approximate]]. However, it has a [[linear time]] solution for [[directed acyclic graph]]s, which has important applications in finding the [[Critical path m ==Acyclic graphs== ...

...the editing and composition (or linking) of atomic functional units. Node graphs are a type of [[visual programming language]]. ...d in the 1960s.{{Citation needed|date=October 2021}} Today the use of node graphs has exploded. The fields of [[#Use_in_Computer_Graphics|graphics, games]], ...

...[reachability]] relationship in [[Tree (graph theory)|directed trees]] and directed [[series–parallel graph]]s.<ref name="m"/><ref name="vtl"/> The [[comparabi | title = On a class of posets and the corresponding comparability graphs ...

{{Short description|Directed graph isomorphic to its own transpose graph}} ...etric graphs are identical to the [[Bipartite double cover|double covering graphs]] of [[bidirected graph]]s. ...