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Boost small-world generator produces parallel edges
The Boost small-world generator as defined in small_world_generator.hpp can produce parallel edges.
The problem lies in lines 74–76:
if (x < prob)
{
vertices_size_type lower = (source + n - k / 2) % n;
vertices_size_type upper = (source + k / 2) % n;
do
{
current.second = rand_vertex_gen(*gen);
} while ((current.second >= lower && current.second <= upper) // <---- L74
|| (upper < lower
&& (current.second >= lower || current.second <= upper)));
}
else
{
current.second = target;
}
While this guarantees that parallel edges cannot be created between neighbouring vertices in range < k, it does not prevent edges being rewired to already rewired edges, i.e. edges outside the distance-k-neighbourhood.
Proposed fix:
Inserting a check à la if not boost::edge(v, w, g).second should solve the issue