Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Note on Norine's Antipodal-Colouring Conjecture   Norine's antipodal-colouring conjecture, in a form given by Feder and Subi,
asserts that whenever the edges of the discrete cube are 2-coloured there must
exist a path between two opposite vertices along which there is at most one
colour change. The best bound to date was that there must exist such a path
with at most $n/2$ colour changes. Our aim in this note is to improve this
upper bound to $(\frac{3}{8}+o(1))n$.

17
The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
19
The categories of this paper are: eess
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
7
The categories of this paper are: hep-th