VertexList (Built-in Mathematica Symbol)

VertexList[g] gives the list of vertices for the graph g.VertexList[g, patt] gives a list of vertices that match the pattern patt.

EdgeList (Built-in Mathematica Symbol)

EdgeList[g] gives the list of edges for the graph g. EdgeList[g, patt] gives a list of edges that match the pattern patt.

IsomorphicGraphQ (Built-in Mathematica Symbol)

IsomorphicGraphQ[g_1, g_2] yields True if the graphs g_1 and g_2 are isomorphic, and False otherwise.

Edit Mathematica Graphics (Mathematica How To)

Mathematica 's unified symbolic graphics architecture makes it possible to mix programmatic graphics generation with interactive editing and control. The Mathematica Drawing ...

CayleyGraph (Built-in Mathematica Symbol)

CayleyGraph[group] returns a Cayley graph representation of group.

UndirectedGraph (Built-in Mathematica Symbol)

UndirectedGraph[g] gives an undirected graph from the directed graph g.

TuranGraph (Built-in Mathematica Symbol)

TuranGraph[n, k] gives the k-partite Turán graph with n vertices T n, k.

FindGraphIsomorphism (Built-in Mathematica Symbol)

FindGraphIsomorphism[g_1, g_2] finds an isomorphism that maps the graph g_1 to g_2 by renaming vertices.

AcyclicGraphQ (Built-in Mathematica Symbol)

AcyclicGraphQ[g] yields True if the graph g is an acyclic graph and False otherwise.

DirectedGraph (Built-in Mathematica Symbol)

DirectedGraph[g] gives a directed graph from the undirected graph g.DirectedGraph[g, conv] gives a directed graph using the conversion conv.