Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The DoF of Two-way Butterfly Networks   This paper studies the two-way butterfly network, a class of two-way
four-unicast networks. We first show that bidirectional links do not increase
the degrees of freedom for this network thus giving the first example for
networks, to the best of our knowledge, where bidirectional links do not
increase the degrees of freedom. Further, we see that sufficient caching at the
relays or increasing the number of antennas in the relays can double the
two-way degrees of freedom for butterfly network.

23
The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th
11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
3
The categories of this paper are: physics
24
The categories of this paper are: dg-ga