2026-10-13T21:26:24Z
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2026-09-30T17:50:12Z
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<p>Fixation probabilities on a star graph with <i>N</i> = 10 vertices in neutral evolution, plotted as a function of .</p>
David A. Brewster (17118328)
Yichen Huang (5794106)
Michael Mitzenmacher (25145498)
Martin A. Nowak (24845)
Cell Biology
Evolutionary Biology
Environmental Sciences not elsewhere classified
Ecology
Biological Sciences not elsewhere classified
Mathematical Sciences not elsewhere classified
Science Policy
Infectious Diseases
unweighted undirected graphs
edges denote interactions
graph — compete
evolutionary graph theory
study mixed updating
randomly chosen neighbor
prove exact formulas
div >< p
study fixation probabilities
short fixation times
mixed updating
graph represent
fixation probabilities
neighbors —
evolutionary dynamics
vacancy proportional
two scenarios
time step
reproduction proportional
population structure
offspring replaces
neutral evolution
n </
efficient algorithm
constant selection
complex structures
competitive replacement
chosen uniformly
adjacent vertex
<p>In each panel, the dashed line is the theoretical fixation probability from Theorem 3.6, and the solid line with the surrounding translucent region is the average and its 95% confidence interval from 10<sup>4</sup> simulations of the mixed -updating process. <b>a,</b> Fixation probabilities as a function of when starting with a mutant in the center. <b>b,</b> Same as a) except a mutant is initially on a leaf.</p>
2026-09-30T18:07:02Z
Image
Figure
10.1371/journal.pcbi.1014829.g004
https://figshare.com/articles/figure/_p_Fixation_probabilities_on_a_star_graph_with_i_N_i_10_vertices_in_neutral_evolution_plotted_as_a_function_of_p_/34036346
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