Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Tree-like Reticulation Networks - When Do Tree-like Distances Also
  Support Reticulate Evolution?   Hybrid evolution and horizontal gene transfer (HGT) are processes where
evolutionary relationships may more accurately be described by a reticulated
network than by a tree. In such a network, there will often be several paths
between any two extant species, reflecting the possible pathways that genetic
material may have been passed down from a common ancestor to these species.
These paths will typically have different lengths but an `average distance' can
still be calculated between any two taxa. In this article, we ask whether this
average distance is able to distinguish reticulate evolution from pure
tree-like evolution. We consider two types of reticulation networks:
hybridization networks and HGT networks. For the former, we establish a general
result which shows that average distances between extant taxa can appear
tree-like, but only under a single hybridization event near the root; in all
other cases, the two forms of evolution can be distinguished by average
distances. For HGT networks, we demonstrate some analogous but more intricate
results.

23
The categories of this paper are: solv-int
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th
11
The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
22
The categories of this paper are: chao-dyn
18
The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
2
The categories of this paper are: math
35
The categories of this paper are: mtrl-th
14
The categories of this paper are: math-ph