Supremacy distribution in evolving networks
arXiv:cond-mat/0308588 · doi:10.1103/PhysRevE.70.046119
Abstract
We study a supremacy distribution in evolving Barabasi-Albert networks. The supremacy of a node is defined as a total number of all nodes that are younger than and can be connected to it by a directed path. For a network with a characteristic parameter the supremacy of an individual node increases with the network age as in an appropriate scaling region. It follows that there is a relation between a node degree and its supremacy and the supremacy distribution scales as . Analytic calculations basing on a continuum theory of supremacy evolution and on a corresponding rate equation have been confirmed by numerical simulations.
4 pages, 4 figures
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