Toy Examples

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Toy Examples

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 gif and gif 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

Lothar Krempel
Fri Mar 31 13:14:02 MET DST 1995