Abstract
For a given number of nodes N and links L, we can arrange them in many different ways and thus different topology would be resulted and their network’s stability could be very different. Here we study some networks with special feature and we classify them into different class of topologies. We then compare the static stability between networks different class of topologies. Amazingly, we found that some class of topologies can be much more statically stable than the other class of topologies. We introduce the hierarchical structure, which is a class of topology that is about 10% more stable than the connected Erdos-Renyi (ER) graphs. In addition, our hierarchical structure has a short radius which is a good feature for building some artificial networks like computer networks.
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