Amplification on undirected population structures: Comets beat stars
IST Austria Technical Report
Pavlogiannis, Andreas
Tkadlec, Josef
Chatterjee, Krishnendu
Nowak, Martin
ddc:519
The fixation probability is the probability that a new mutant introduced in a homogeneous population eventually takes over the entire population.
The fixation probability is a fundamental quantity of natural selection, and known to depend on the population structure.
Amplifiers of natural selection are population structures which increase the fixation probability of advantageous mutants, as compared to the baseline case of well-mixed populations. In this work we focus on symmetric population structures represented as undirected graphs. In the regime of undirected graphs, the strongest amplifier known has been the Star graph, and the existence of undirected graphs with stronger amplification properties has remained open for over a decade.
In this work we present the Comet and Comet-swarm families of undirected graphs. We show that for a range of fitness values of the mutants, the Comet and Comet-swarm graphs have fixation probability strictly larger than the fixation probability of the Star graph, for fixed population size and at the limit of large populations, respectively.
IST Austria
2016
info:eu-repo/semantics/other
doc-type:other
text
http://purl.org/coar/resource_type/c_1843
https://research-explorer.ista.ac.at/record/5449
https://research-explorer.ista.ac.at/download/5449/5529
Pavlogiannis A, Tkadlec J, Chatterjee K, Nowak M. <i>Amplification on Undirected Population Structures: Comets Beat Stars</i>. IST Austria; 2016. doi:<a href="https://doi.org/10.15479/AT:IST-2016-648-v1-1">10.15479/AT:IST-2016-648-v1-1</a>
eng
info:eu-repo/semantics/altIdentifier/doi/10.15479/AT:IST-2016-648-v1-1
info:eu-repo/semantics/altIdentifier/issn/2664-1690
info:eu-repo/semantics/openAccess