Nonextensive Statistical Mechanics

7.8 Scale-Free Networks 293Fig. 7.98 Values of q and κ used in the best fits indicated in Fig. 7.97. The (heuristic) solid curvesare: (a) q = 1 + (1/3)e −0.526 αA (∀ α G ); (b) κ ≃ 0.083 + 0.092 α A (∀ α G ) (from [790]).Fig. 7.99 (a) Time dependence (t = N) of the average number (over 2000 realizations) of linksfor typical values of α A for sites i = 1, i = 5, and i = 95 (compare with Fig. 2(c) of [863]). Wehave used α G = 2; (b) α A -dependance of β (the straight line β = 1 2 (1 − α A) could be the exactanswer) (from [790]).