Supplementary information

From the following article:

Evolutionary dynamics on graphs

Erez Lieberman, Christoph Hauert and Martin A. Nowak

Nature 433, 312-316(20 January 2005)

doi:10.1038/nature03204

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Supplementary Notes

These Supplementary Notes outline the derivations of the major results stated in the main text and provide a discussion of their robustness. It contains a sketch of the derivations of equation (1) for circulations and equation (2) for superstars, and also gives a brief discussion of complexity results for frequency-dependent selection and the computation underlying results for directed cycles. This closes with a discussion of assumptions about mutation rate and the interpretations of fitness that these results can accommodate.

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