Gérald Gurtner

Physics, Networks and Agent-Based Models

Interlude: Random Networks — The Fibre Network

Now that we have seen pretty simple and regular networks, what about fibre network, like the one below, that you find for instance in actin networks?

fibresdense.JPG

It is quite easy to show thanks to our necessary and sufficient conditions that this kind of network can never be optimal — because the degree is strictly below 4–, although it is isotropic by constructions. Note however that if the length of the fibres tend to infinity, the network tends to optimality.

Next: Complex 2d Networks

Previous: Simple 2d Networks

Advertisements
%d bloggers like this: