Are Barabasi-Albert networks self-averaging?

Details Are Barabasi-Albert networks self-averaging? Are Barabasi-Albert networks self-averaging?

2004-12-22

arxiv.org/abs/cond-mat/0412612v2

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages including 4 figures; 5 pages in improved version, ref.2 added

Scientific paper

Yes and no. The size of the largest neighbourhood in a Barabasi-Albert
scale-free entwork has string fluctuations of the order of the average value.
The number of sites having exactly ten neighbours increases linearly in the
network size while its relative fluctuations decrease towards zero if the
number of sites in the network increases from 1000 to ten million.

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