Finally, now the whole simulation works as follows:
- Assign different color (between 1 to 50) uniformly to all agents.
- Randomly pick 1 color track.
- Let that color diffuse in the network, and track it's progress as follows :
- t = time step, v = volume, i.e., number of members in that cluster. we keep track of [t, v]
- we plot t vs. v in the end.
- There are two modes of diffusion. They are :
- Free diffusion. In this case, if the edge is selected, diffusion takes place.
- Constrained diffusion. In this case, diffusion only happens if the distance in "trust" or "belief" attribute of both nodes is less than 2 (belief value varies from 1 to 5).
The output for Free diffusion looks like this.
And the output for constrained diffusion looks like
The significant reduction in the number of conversion in case of constrained diffusion is clear, however, both cases exhibit the nature of an exponential growth, which is interesting.
I shall play with this new model in more detail over the weekend. So Long.
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