Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Gallai's path decomposition conjecture for graphs of small maximum
  degree   Gallai's path decomposition conjecture states that the edges of any connected
graph on n vertices can be decomposed into at most (n+1)/2 paths. We confirm
that conjecture for all graphs with maximum degree at most five.

10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
14
The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin
3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
21
The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom
26
The categories of this paper are: bayes-an
19
The categories of this paper are: eess
31
The categories of this paper are: ao-sci