Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Classification of maximum hittings by large families   For integers $r$ and $n$, where $n$ is sufficiently large, and for every set
$X \subseteq [n]$ we determine the maximal left-compressed intersecting
families $\mathcal{A}\subseteq \binom{[n]}{r}$ which achieve maximum hitting
with $X$ (i.e. have the most members which intersect $X$). This answers a
question of Barber, who extended previous results by Borg to characterise those
sets $X$ for which maximum hitting is achieved by the star.

6
The categories of this paper are: astro-ph
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The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
30
The categories of this paper are: q-alg
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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-th
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The categories of this paper are: solv-int
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The categories of this paper are: eess
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph