The answer must be obvious, but I can't come up with it. In the previous versions of Mathematica there was
ListGraphs function from Combinatorica package which was able to take number of vertices and edges as arguments. The help page states that beggining from 10.0 version its functionality was implemented in built-in
GraphData. When I tried to run
GraphData[4,3] it returned me an error
GraphData::notdef: GraphData has no value associated with the specified argument(s).
What should I do now if I need a list of all non-isomorphic graphs with $n$ vertices and $m$ edges?