Random graph generator

Random graph generator creates a topic map with random number of topics and associations between. New topics and associations are created to current layer. Random graph generator has two different association creation algorithms. First algorithm is

1. Create n topics
2. Loop m times
   1. Select two random topics
   2. Create association between selected topics

Here n and m are integers given by the user. Note the possibility of two or more identical associations. Wandora's topic map model merges identical associations and the overall number of associations created by the algorithm may be smaller than m. Second algrithm relies on association probability and is

1. Create n topics
2. For each topic combination (n * n)
   1. Get random number
   2. if random number is bigger than given number p then create association between the topics in combination

Here n and p are user defined. n is integer while p is a floating point number between 0.0 and 1.0

Random graph generator may not have real life implementations but it offers nice test suite for Wandora and topics maps. It is also interesting to note that the association distribution of random topic maps are variations of bell curves rather than power law curves found in many real life graphs. You should also note that creating very dense topic map requires much memory as the number of associations increases. Below is an example of layer connection statistics after random graphs generator with 5000 topics and 0.05 association probability. Note the number of created associations.

Subject identifier of created topics is

http://www.wandora.org/topic/i

where i is topic's number starting from 0 and ending to n-1. Topic's base name is Topic i with same schema for i. Association type and roles are

http://www.wandora.org/topic/associationType
http://www.wandora.org/topic/role1
http://www.wandora.org/topic/role2

Below is a visualization of topic map created with random graph generator (50 topics and association probability of 0.05).

See also

• To visualize the random graph, you can try the Graph topic panel or Processing topic panel.
• Once you have create the random graph, you might want to export it:
  • GraphML export
  • Graph Modeling Language export
  • GraphXML export
  • Export adjacency matrix
  • Export incidence matrix