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An analysis of the fixation probability of a mutant on special classes of non-directed graphs
Proceedings of the Royal Society A
There is a growing interest in the study of evolutionary dynamics on populations with some non-homogeneous structure. In this paper we follow the model of Lieberman et al. [Lieberman, E., Hauert, C., Nowak, M.A. 2005 Evolutionary dynamics on graphs. Nature 43 (3), 312-316] of evolutionary dynamics on a graph. We investigate the case of non-directed equally weighted graphs and find solutions for the fixation probability of a single mutant in two classes of simple graphs. We further demonstratedoi:10.1098/rspa.2008.0058 fatcat:lh4ae3bymngoliqg4l4guuhbli