## Burrow the Burrows ##

________Statistics_on_the_graph_of_servers________
       (last update: 20180827 17:00:00 GMT)

### N.B.: THE CRAWL IS NOT COMPLETE, SO THESE 
    RESULTS ARE PARTIAL AND NOT CONCLUSIVE.

 The graph of servers associates a node to each
 visited server, and connects node A to node B
 with a direct link if there exist at least one
 menu under domain A that contains a type-1
 selector to a menu under domain B.

 The graph of servers contains:

 *    333  nodes (active servers), and 
 *   2154  edges (inter-server connections)

 including self-loops, i.e., connections from one
 server to itself. 

 This means that each server points, on average, 
 to:

 *  6.468  servers

 If we remove self-loops, the remaining network
 contains:

 *   2006  edges (inter-servers connections)

 and in this graph only 

 *    229  servers 

 have connections towards other active servers,
 with an average of 

 *  8.759  outgoing connections per server.

 See below a plot (axes in log-scale) of the 
 number of servers having a  given in-degree 
 (i.e., number of connections from other servers):

 
  100 +++---+--+--+-++++++-----+---+-+-++-++++----+---+-+-+-+++++   
      ++          O      +                   +                 ++   
      O+...     .. :             # servers by in-degree +..O..+++   
      ++   .  .O   :                                           ++   
      ++    O.      O                                          ++   
      ++             :                                         ++   
      |              OOOO                                       |   
   10 +++                :                                    +++   
      ++                 O  O                                  ++   
      ++                  O :                                  ++   
      ++                  : O:                                 ++   
      ++                   :::O                                ++   
      ++                   O O:O   O                           ++   
      +                  +   : ::..:         +                  +   
    1 +-+---+--+--+-++++++---O-OO--O-+-O+-+++O----+---+-+-+-+++-+   
      1                  10                 100                1000 
                            incoming edges                          


 And here is a plot (axes in log-scale) of the 
 number of servers having a given out-degree 
 (i.e., number of connections to other servers):


  1000 +++---+--+-+-+-+++++-----+--+-+-+-+++++-----+--+-+-+-+++++   
       ++                 +                  +                 ++   
       ++                       # servers by out-degree +..O..+++   
       ++                                                      ++   
       |                                                        |   
   100 O++..                                                  +++   
       ++   .                                                  ++   
       ++    O..O                                              ++   
       ++        :                                             ++   
    10 +-+       :                                            +-+   
       ++         O.O  O                                       ++   
       ++            + :                                       ++   
       ++             O :              O                       ++   
       ++               : +OO O O...O +:     +                 ++   
     1 +-+---+--+-+-+-++OO+-OOOO+--+-O-OO+OO++---O-+OO+-+-+-+++-+   
       1                  10                100                1000 
                            out-going edges