Digraph

Types of digraph:

• Graph

Functions and methods returning a digraph:

• addEdges'(Digraph,List) -- see addEdge -- A method for adding edges to a graph
• addVertex(Digraph,Thing) -- see addVertex -- A method for adding a set of vertices to a graph
• deleteVertex(Digraph,Thing) (missing documentation)
• deleteVertices(Digraph,List) -- see deleteVertices -- Deletes specified vertices from a digraph or graph
• digraph(HashTable) -- see digraph -- Constructs a digraph
• digraph(List) -- see digraph -- Constructs a digraph
• digraph(List,List) -- see digraph -- Constructs a digraph
• digraph(List,Matrix) -- see digraph -- Constructs a digraph
• digraph(Matrix) -- see digraph -- Constructs a digraph
• digraphTranspose(Digraph) -- see digraphTranspose -- returns the transpose of a Digraph
• indexLabelGraph(Digraph) -- see indexLabelGraph -- Relabels the vertices of a graph or digraph according to their indices, indexed from 0.
• inducedSubgraph(Digraph,List) -- see inducedSubgraph -- A method for finding the induced subgraph of any Graph or Digraph
• reindexBy(Digraph,String) -- see reindexBy -- reindexes the vertices according to the input ordering.

Methods that use a digraph:

• addEdge(Digraph,Set) -- see addEdge -- A method for adding edges to a graph
• addVertices(Digraph,List) -- see addVertex -- A method for adding a set of vertices to a graph
• adjacencyMatrix(Digraph) -- see adjacencyMatrix -- Returns the adjacency matrix of a Graph or Digraph
• breadthFirstSearch(Digraph,Thing) -- see breadthFirstSearch -- runs a breadth first search on the digraph starting at a specified node
• children(Digraph,Thing) -- see children -- returns the children of a vertex of a digraph
• degree(Digraph,Thing) -- returns the degree of a vertex in a digraph
• degreeIn(Digraph,Thing) -- see degreeIn -- returns the "in-degree" of a vertex in a digraph
• degreeMatrix(Digraph) -- see degreeMatrix -- Returns the degree matrix of a graph
• degreeOut(Digraph,Thing) -- see degreeOut -- returns the "out-degree" of a vertex in a digraph
• deleteEdges(Digraph,List) (missing documentation)
• depthFirstSearch(Digraph) -- see depthFirstSearch -- runs a depth first search on the digraph
• descendants(Digraph,Thing) -- see descendants -- returns the descendants of a digraph
• Digraph _ List (missing documentation)
• Digraph _ ZZ (missing documentation)
• Digraph _* (missing documentation)
• displayGraph(Digraph) -- see displayGraph -- displays a digraph or graph using Graphviz
• displayGraph(String,Digraph) -- see displayGraph -- displays a digraph or graph using Graphviz
• displayGraph(String,String,Digraph) -- see displayGraph -- displays a digraph or graph using Graphviz
• distance(Digraph,Thing,Thing) -- see distance -- Computes the distance between two vertexSet in a graph
• distance(Digraph,Thing) (missing documentation)
• distanceMatrix(Digraph) -- see distanceMatrix -- Computes the distance matrix of a digraph
• edges(Digraph) -- see edges -- Returns the edges of a digraph or graph
• findPaths(Digraph,Thing,ZZ) -- see findPaths -- finds all the paths in a digraph of a given length starting at a given vertex
• floydWarshall(Digraph) -- see floydWarshall -- runs the Floyd-Warshall algorithm on a digraph to determine the minimum distance from one vertex
• forefathers(Digraph,Thing) -- see forefathers -- returns the forefathers of a digraph
• graph(Digraph) -- Returns the legacy G#graph hash table
• hasEulerianTrail(Digraph) -- see hasEulerianTrail -- determines whether a graph or a digraph has an Eulerian trail
• html(Digraph) -- Create an .svg representation of a graph or digraph
• isCyclic(Digraph) -- determines whether a digraph is cyclic
• isEulerian(Digraph) -- see isEulerian -- determines if a graph or digraph is Eulerian
• isReachable(Digraph,Thing,Thing) -- see isReachable -- checks if a vertex u is reachable from a vertex v
• isSink(Digraph,Thing) -- see isSink -- determines if a vertex of a digraph is a sink or not
• isSource(Digraph,Thing) -- see isSource -- determines if a vertex of a digraph is a source or not
• isStronglyConnected(Digraph) -- see isStronglyConnected -- checks if a digraph is strongly connected
• isWeaklyConnected(Digraph) -- see isWeaklyConnected -- checks if a digraph is weakly connected
• lowestCommonAncestors(Digraph,Thing,Thing) -- see lowestCommonAncestors -- determines the lowest common ancestors between two vertexSet
• net(Digraph) (missing documentation)
• nondescendants(Digraph,Thing) -- see nondescendants -- returns the nondescendants of a vertex of a digraph
• parents(Digraph,Thing) -- see parents -- returns the parents of a vertex on a digraph
• reachable(Digraph,List) -- see reachable -- Returns the vertices reachable in a digraph from a given collection of vertices
• reachable(Digraph,Set) -- see reachable -- Returns the vertices reachable in a digraph from a given collection of vertices
• reverseBreadthFirstSearch(Digraph,Thing) -- see reverseBreadthFirstSearch -- runs a reverse breadth first search on the digraph starting at a specified node
• showTikZ(Digraph) -- see showTikZ -- Writes a string of TikZ syntax that can be pasted into a .tex file to display G
• sinks(Digraph) -- see sinks -- returns the sinks of a digraph
• sources(Digraph) -- see sources -- returns the sources of a digraph
• topologicalSort(Digraph) -- see topologicalSort -- outputs a list of vertices in a topologically sorted order of a DAG.
• topologicalSort(Digraph,String) -- see topologicalSort -- outputs a list of vertices in a topologically sorted order of a DAG.
• topSort(Digraph) -- see topSort -- topologically sort the vertices of a digraph
• topSort(Digraph,String) -- see topSort -- topologically sort the vertices of a digraph
• toString(Digraph) (missing documentation)
• underlyingGraph(Digraph) -- see underlyingGraph -- Returns the underlying graph of a digraph
• vertexSet(Digraph) -- see vertexSet -- Returns the vertices of a graph or digraph
• vertices(Digraph) -- see vertexSet -- Returns the vertices of a graph or digraph
• writeDotFile(String,Digraph) -- see writeDotFile -- Writes a graph to a dot file with a specified filename

For the programmer

The object Digraph is a type, with ancestor classes HashTable < Thing.

The source of this document is in Graphs.m2:1770:0.