Bose-Einstein Hypernetworks

The paper proposes a Bose-Einstein hypernetwork model, and studies evolving mechanisms and topological properties of hyperedge hyperdegrees of the hypernetwork. We analyze the model by using a Poisson process theory and a continuous technique, and give a characteristic equation of hyperedge hyperdegrees of the Bose-Einstein hypernetwork. We obtain the stationary average hyperedge hyperdegree distribution of the hypernetwork by the characteristic equation. The paper first studies topological properties of hyperedge hyperdegrees. Bose-Einstein condensation model can be seen as a special case of this kind of hypernetworks. Condensation degree is proposed, in particular, the condensation of particles can be classified according to the condensation degree.