Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Counting Phylogenetic Networks with Few Reticulation Vertices:
  Tree-Child and Normal Networks   In recent decades, phylogenetic networks have become a standard tool in
modeling evolutionary processes. Nevertheless, basic combinatorial questions
about them are still largely open. For instance, even the asymptotic counting
problem for the class of phylogenetic networks and subclasses is unsolved. In
this paper, we propose a method based on generating functions to count networks
with few reticulation vertices for two subclasses which are important in
applications: tree-child networks and normal networks. In particular, our
method can be used to completely solve the asymptotic counting problem for
these network classes when the number of reticulation vertices remains fixed
and the network size tends to infinity.

9
The categories of this paper are: nlin
19
The categories of this paper are: eess
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
27
The categories of this paper are: comp-gas
18
The categories of this paper are: econ
14
The categories of this paper are: math-ph
34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
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The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
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The categories of this paper are: atom-ph
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The categories of this paper are: cond-mat
1
The categories of this paper are: cs
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The categories of this paper are: q-fin