Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Extremal results on intersection graphs of boxes in $R^d$   The main purpose of this paper is to study extremal results on the
intersection graphs of boxes in $\R^d$. We calculate exactly the maximal number
of intersecting pairs in a family $\F$ of $n$ boxes in $\R^d$ with the property
that no $k+1$ boxes in $\F$ have a point in common. This allows us to improve
the known bounds for the fractional Helly theorem for boxes. We also use the
Fox-Gromov-Lafforgue-Naor-Pach results to derive a fractional Erd\H{o}s-Stone
theorem for semi-algebraic graphs in order to obtain a second proof of the
fractional Helly theorem for boxes.

1
The categories of this paper are: cs
23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
25
The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
20
The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
18
The categories of this paper are: econ
17
The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
24
The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph
29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess