Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Signed graphs with maximal index   The index of a signed graph is the largest eigenvalue of its adjacency
matrix. For positive integers $n$ and $m\le n^2/4$, we determine the maximal
index of complete signed graphs with $n$ vertices and $m$ negative edges. This
settles (the corrected version of) a conjecture by Koledin and Stani\'c (2017).

32
The categories of this paper are: atom-ph
30
The categories of this paper are: q-alg
28
The categories of this paper are: alg-geom
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
16
The categories of this paper are: stat
21
The categories of this paper are: adap-org
13
The categories of this paper are: quant-ph
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
37
The categories of this paper are: supr-con
5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
3
The categories of this paper are: physics