EdgeRules
EdgeRules[g] gives the list of edge rules for the graph g.
Examples
Get edge rules:
EdgeRules[Graph[{1 <-> 2, 2 <-> 3}]]
(* {1 -> 2, 2 -> 3} *)For a directed graph:
EdgeRules[Graph[{1 -> 2, 2 -> 3}]]
(* {1 -> 2, 2 -> 3} *)Please visit the official Wolfram Language Reference for more details.