Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the zone complexity of a vertex   Let $L$ be a set of $n$ lines in the real projective plane in general
position. We show that there exists a vertex $v\in \A(L)$ such that $v$ is
positioned in a face of size at most 5 in the arrangement obtained by removing
the two lines passing through $v$.

32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
19
The categories of this paper are: eess
11
The categories of this paper are: hep-lat
22
The categories of this paper are: chao-dyn
26
The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph
29
The categories of this paper are: funct-an
31
The categories of this paper are: ao-sci
1
The categories of this paper are: cs
23
The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
14
The categories of this paper are: math-ph
4
The categories of this paper are: cond-mat
25
The categories of this paper are: patt-sol