This is documentation for Mathematica 6, which was
based on an earlier version of the Wolfram Language.
View current documentation (Version 11.1)

GraphOptions

GraphOptions[g]
returns the display options associated with g.
GraphOptions[g, v]
returns the display options associated with vertex v in g.
GraphOptions[g, {u, v}]
returns the display options associated with edge {u,v} in g.