IBAFLang/IBAF-cbs/Funcons-beta/Values/Composite/Graphs/index.md

layout, title, parent, ancestor

layout	title	parent	ancestor
default	Graphs	Composite	Funcons-beta

Funcons-beta : Graphs.cbs

Graphs

[
  Type   directed-graphs
  Funcon is-cyclic
  Funcon topological-sort
]

Meta-variables
  GT <: ground-values

Type
  directed-graphs(GT) ~> maps(GT, sets(GT))

directed-graphs(GT) models directed graphs with vertices of type GT, represented as maps from vertices to the set of vertices to which the vertex has an edge. E.g., the graph

(1)--->(2)

would be represented as { 1 |-> {2}, 2 |-> {} }

Built-in Funcon
  is-cyclic(_:directed-graphs(GT)) : =>booleans

Built-in Funcon
  topological-sort(_:directed-graphs(GT)) : =>(GT)*

topological-sort(DG) returns a topological ordering of the vertices of the graph DG, as a sequence of vertices, provided that DG is not cyclic.

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