FunctionalGraph
FunctionalGraph[f,v]
takes a set 
and a function 
from 
to 
and constructs a directed graph with vertex set 
and edges ![{x,f[x]}](Files/FunctionalGraph.en/6.png "{x,f[x]}"){kind=small}
for each 
in 
.
FunctionalGraph[{f1,f2,…},v]
constructs a graph with vertex set 
and edge set ![{x,f_(i)[x]}](Files/FunctionalGraph.en/10.png "{x,f_(i)[x]}"){kind=small}
for each 
. An option called Type that takes on the values Directed and Undirected is allowed. Type->Directed is the default, while Type->Undirected returns the corresponding underlying undirected graph.
FunctionalGraph[f,n]
takes a nonnegative integer 
and a function 
from 
onto itself and produces the directed graph with vertex set 
and edge set ![{x,f[x]}](Files/FunctionalGraph.en/16.png "{x,f[x]}"){kind=small}
for each vertex 
.
Details and Options
- FunctionalGraph functionality is now available in the built-in Wolfram Language function Graph.
- To use FunctionalGraph, you first need to load the Combinatorica Package using Needs["Combinatorica`"].
Text
Wolfram Research (2012), FunctionalGraph, Wolfram Language function, https://reference.wolfram.com/language/Combinatorica/ref/FunctionalGraph.html.
CMS
Wolfram Language. 2012. "FunctionalGraph." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/Combinatorica/ref/FunctionalGraph.html.
APA
Wolfram Language. (2012). FunctionalGraph. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/Combinatorica/ref/FunctionalGraph.html