EdgeCount[g] gives a count of the number of edges in the graph g.EdgeCount[g, patt] gives a count of the number of edges that match the pattern patt.
Aggressive is an option to PseudoDiameter that specifies whether an extra iteration is to be carried out.
VertexCount[g] gives a count of the number of vertices in the graph g.VertexCount[g, patt] gives a count of the number of vertices that match the pattern patt.
DirectedEdge[u, v] or u \[DirectedEdge] v represents a directed edge from u to v.
GraphHighlightStyle is an option to Graph and related objects that specifies styles to use for highlighted graph elements.
UndirectedEdge[u, v] or u \[UndirectedEdge] v represents an undirected edge of a graph with vertices u and v.
DOT
(Mathematica Import/Export Format) DOT graph language and data format. Commonly used exchange format for graphs. Stores a single attributed, directed, or undirected graph. Can contain user-defined graph, edge, ...
Graphlet
(Mathematica Import/Export Format) Graphlet GML graph data format. Used for the storage and exchange of graphs. GML is an acronym derived from Graph Modelling Language. Native format of the Graphlet graph ...
AdjacencyMatrix[g] gives the vertex\[Dash]vertex adjacency matrix of the graph g.
TGF
(Mathematica Import/Export Format) TGF graph data format. Used for the storage and exchange of graphs. TGF is an acronym for Trivial Graph Format. Stores directed graphs. Stores at most one label per vertex ...