Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Intersection theorems for $(-1,0,1)$-vectors   In this paper, we investigate Erd\H os--Ko--Rado type theorems for families
of vectors from $\{0,\pm 1\}^n$ with fixed numbers of $+1$'s and $-1$'s. Scalar
product plays the role of intersection size. In particular, we sharpen our
earlier result on the largest size of a family of such vectors that avoids the
smallest possible scalar product. We also obtain an exact result for the
largest size of a family with no negative scalar products.

17
The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg
6
The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
20
The categories of this paper are: acc-phys
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
22
The categories of this paper are: chao-dyn
5
The categories of this paper are: gr-qc
21
The categories of this paper are: adap-org
24
The categories of this paper are: dg-ga