In random regular graphs, <math>G(n,r-reg)</math> are the set of <math>r</math>-regular graphs with <math>r = r(n)</math> such that <math>n</math> and <math>m</math> are the natural numbers, <math>3 \le r < n</math>, and <math>rn = 2m</math> is even. | In random regular graphs, <math>G(n,r-reg)</math> are the set of <math>r</math>-regular graphs with <math>r = r(n)</math> such that <math>n</math> and <math>m</math> are the natural numbers, <math>3 \le r < n</math>, and <math>rn = 2m</math> is even. |