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Thanks to @gabrielelana and @sphaso we now have a simple implementation: #237. There is a lot of room for improvement though, since the current complexity is O(n^2 * m) time and O(n^2) memory.
(I think this is mostly relevant for undirected graphs.)
Graph complement of an undirected graph (V, E) is (V, K \ E), where K is the clique on all vertices V, e.g. see https://en.wikipedia.org/wiki/Complement_graph.
Interestingly, complements of sparse graphs have as compact algebraic representations as sparse graphs.
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