Key points are not available for this paper at this time.
We present a practical algorithm for generating random regular graphs. For all d growing as a small power of n , the d -regular graphs on n vertices are generated approximately uniformly at random, in the sense that all d -regular graphs on n vertices have in the limit the same probability as n → ∞. The expected runtime for these d s is Oscr ( nd 2 ).
Steger et al. (Thu,) studied this question.