Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fitness dependence of the fixation-time distribution for evolutionary
  dynamics on graphs   Evolutionary graph theory models the effects of natural selection and random
drift on structured populations of competing mutant and non-mutant individuals.
Recent studies have found that fixation times in such systems often have
right-skewed distributions. Little is known, however, about how these
distributions and their skew depend on mutant fitness. Here we calculate the
fitness dependence of the fixation-time distribution for the Moran Birth-death
process in populations modeled by two extreme networks: the complete graph and
the one-dimensional ring lattice, obtaining exact solutions in the limit of
large network size. We find that with non-neutral fitness, the Moran process on
the ring has normally distributed fixation times, independent of the relative
fitness of mutants and non-mutants. In contrast, on the complete graph, the
fixation-time distribution is a fitness-weighted convolution of two Gumbel
distributions. When fitness is neutral the fixation-time distribution jumps
discontinuously and becomes highly skewed on both the complete graph and the
ring. Even on these simple networks, the fixation-time distribution exhibits
rich fitness dependence, with discontinuities and regions of universality.
Extensions of our results to two-fitness Moran models, times to partial
fixation, and evolution on random networks are discussed.

37
The categories of this paper are: supr-con
16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th
21
The categories of this paper are: adap-org
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
25
The categories of this paper are: patt-sol
2
The categories of this paper are: math
20
The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
9
The categories of this paper are: nlin
34
The categories of this paper are: chem-ph
29
The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex