Figure: Toy examples: two cliques and a star
The first feature we would like to illustrate is that the proposed algorithm is able to visualize the underlying structure of 'handmade' examples containing idealized structure only.
Figures 
and provide the solutions for two such
toy examples. The first example contains two cliques which are
linked by a star {B5}, having direct connections to all other nodes
in the system. The second example again contains two cliques, but it
differs from the first in that there is one node in each of these
cliques linked to the other clique. Nodes {B5} and {B6} bridge
the gap between the otherwise unconnected subsystems {B1, B2, B3,
B4, B5 } and {B6, B7, B8, B9, B10}.
In both examples we find that the cliques are placed contiguously on the circle of the solution space, while the elements, linking the two subsystems are placed in between.
Figure: Toy examples: two cliques and a bridge