RealizeDegreeSequence[s] constructs a semirandom graph with degree sequence s.
TeleportProbability is an option to PageRanks, PageRankVector, LinkRanks, and LinkRankMatrix that specifies the probability that an internet user may choose to visit a vertex ...
EdgeLabelStyle is an option and property for Graph and related functions that specifies the style to use for edge labels.
VertexLabelStyle is an option and property for Graph and related functions that specifies the style to use for vertex labels.
VertexOutComponent[g, {v_1, v_2, ...}] gives the vertices in the graph g that have a directed path from at least one of v_1, v_2, ....VertexOutComponent[g, {v_1, v_2, ...}, ...
DegreeCentrality[g] gives a list of vertex degrees for the vertices in the underlying simple graph of g. DegreeCentrality[g, "InDegree"] gives a list of vertex ...
MaximalIndepndentEdgeSet[g] gives a maximal independent edge set of an undirected graph g.
Export
(Built-in Mathematica Symbol) Export["file. ext", expr] exports data to a file, converting it to the format corresponding to the file extension ext. Export[file, expr, " format"] exports data in the ...
VertexSize is an option and property for Graph and related functions that specifies the size used for vertices.
VertexLabels is an option and property for Graph and related functions that specifies what labels and label positions should be used for vertices.