EdgeList
EdgeList[g] gives the list of edges in graph g.
Examples
Get edges from a graph:
g = Graph[{1 <-> 2, 2 <-> 3, 3 <-> 1}]
EdgeList[g]
(* {1 <-> 2, 2 <-> 3, 1 <-> 3} *)
Length[EdgeList[CompleteGraph[5]]]
(* 10 *)Please visit the official Wolfram Language Reference for more details.