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Phase Transitions of the Moran Process and Algorithmic Consequences
[article]
2019
arXiv
pre-print
The Moran process is a random process that models the spread of genetic mutations through graphs. If the graph is connected, the process eventually reaches "fixation", where every vertex is a mutant, or "extinction", where no vertex is a mutant. Our main result is an almost-tight bound on expected absorption time. For all epsilon > 0, we show that the expected absorption time on an n-vertex graph is o(n^(3+epsilon)). In fact, we show that it is at most n^3 * exp(O((log log n)^3)) and that there
arXiv:1804.02293v4
fatcat:lyxlzd77ivchdidjwblzanla2q