Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the index of unbalanced signed bicyclic graphs   In this paper, we focus on the index ( largest eigenvalue) of the adjacency
matrix of connected signed graphs. We give some general results on the index
when the corresponding signed graph is perturbed. As applications, we determine
the first five largest index among all unbalanced bicyclic graphs on n >= 36
vertices together with the corresponding extremal signed graphs whose index
attain these values.

1
The categories of this paper are: cs
29
The categories of this paper are: funct-an
23
The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat
16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
4
The categories of this paper are: cond-mat
5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas