content_image/356094.jpg content_image/356098.jpg content_image/356099.jpg content_image/356102.jpg content_image/356105.jpg content_image/356106.jpg content_image/356107.jpg
<img src='content_image/356094.jpg'>

and 

. 

More over 

<img src='content_image/356098.jpg'>

<img src='content_image/356099.jpg'>

when q < 1 $_{3}$, where, Θ ( z $^{2}$log z ) denotes the same order of z $^{2}$log z . 

Thus, g ′$_{z}$ ( z ) > 0 which implies that g ( z ) is a monotonic increasing function and 

For case 2, according to Lemma and Levy stable distribution property (the distance between the next nearest neighbor and the origin is also obey P ( r ) ∝ r − α when α > 1). So for large enough friends number we have: L 

More over we can get: 

<img src='content_image/356102.jpg'>

<img src='content_image/356105.jpg'>

<img src='content_image/356106.jpg'>

<img src='content_image/356107.jpg'>

