Growing random networks under constraints

Details Growing random networks under constraints Growing random networks under constraints

2001-07-18

arxiv.org/abs/cond-mat/0107391v3

Physics

Condensed Matter

Statistical Mechanics

4 pages 3 figures Revtex, parts to be submitted to the International Conference in Systems Biology Caltech 2001

Scientific paper

We study the evolution of a random graph under the constraint that the diameter remain constant as the graph grows. We show that if the graph maintains the form of its link distribution it must be scale-free with exponent between 2 and 3. These uniqueness results may help explain the scale-free nature of graphs, of varying sizes, representing the evolved metabolic pathways in 43 organisms.

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