Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Solving a conjecture about tessellation graphs of $\mathbb R^2$   In the paper Planarity and Hyperbolicity in Graphs, the authors present the
following conjecture: every tessellation of the Euclidean plane with convex
tiles induces a non-hyperbolic graph. It is natural to think that this
statement holds since the Euclidean plane is non-hyperbolic. Furthermore, there
are several results supporting this conjecture. However, this work shows that
the conjecture is false.

23
The categories of this paper are: solv-int
24
The categories of this paper are: dg-ga
32
The categories of this paper are: atom-ph
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
36
The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th
17
The categories of this paper are: q-fin
27
The categories of this paper are: comp-gas
18
The categories of this paper are: econ
5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs
19
The categories of this paper are: eess
8
The categories of this paper are: hep-ex
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat