Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Combinatorial and inductive methods for the tropical maximal rank
  conjecture   We produce new combinatorial methods for approaching the tropical maximal
rank conjecture, including inductive procedures for deducing new cases of the
conjecture on graphs of increasing genus from any given case. Using explicit
calculations in a range of base cases, we prove this conjecture for the
canonical divisor, and in a wide range of cases for m=3, extending previous
results for m=2.

16
The categories of this paper are: stat
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg
24
The categories of this paper are: dg-ga
15
The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas
4
The categories of this paper are: cond-mat
0
The categories of this paper are: hep-ph
31
The categories of this paper are: ao-sci
5
The categories of this paper are: gr-qc
20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex