This is documentation for Mathematica 7, which was
based on an earlier version of the Wolfram Language.
View current documentation (Version 11.1)

Edges

Edges[g]
gives the list of edges in g.
Edges[g, All]
gives the edges of g along with the graphics options associated with each edge.
Edges[g, EdgeWeight]
returns the list of edges in g along with their edge weights.