Non-Universality in Semi-Directed Barabasi-Albert Networks
arXiv:1205.0149 · doi:10.1142/S0129183112500623
Abstract
In usual scale-free networks of Barabasi-Albert type, a newly added node selects randomly m neighbors from the already existing network nodes, proportionally to the number of links these had before. Then the number N(k) of nodes with k links each decays as 1/k^gamma where gamma=3 is universal, i.e. independent of m. Now we use a limited directedness in the construction of the network, as a result of which the exponent gamma decreases from 3 to 2 for increasing m.
5 pages including 2 figures and computer program