IndexGraph[g] replaces the vertices of the graph g by its vertex indexes. IndexGraph[g, r] replaces the vertices with integers r, r + 1, ....
Property[item, name -> value] associates the property name -> value with item.
LEDA
(Mathematica Import/Export Format) LEDA graph data format. Commonly used exchange format for graphs. Stores a single, typed, directed, or undirected graph. Plain text format. Native graph file format of the ...
GraphHighlight is an option to Graph and related objects that specifies graph elements to highlight.
CompleteGraph[n] gives the complete graph with n vertices K_n.CompleteGraph[{n_1, n_2, ..., n_k}] gives the complete k-partite graph with n_1 + n_2 + \[CenterEllipsis] + n_k ...
WeightedGraphQ[g] yields True if the graph g is a weighted graph and False otherwise.
MorphologicalGraph[image] gives a graph object that represents the connectivity of the morphological branch points and endpoints of the objects in image after applying ...
Pajek
(Mathematica Import/Export Format) Pajek graph language and data format. Commonly used exchange format for graphs. Native format of the Pajek network analysis software. The format name is Slovenian for spider. ...
VertexReplace[g, {v_1 -> w_1, v_2 -> w_2, ...}] replaces each vertex v_i in the graph g by w_i.
SimpleGraph[g] gives the underlying simple graph from the graph g.