Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Tight toughness, isolated toughness and binding number bounds for the
  $\{K_2,C_n\}$-factors   The $\{K_2,C_n\}$-factor of a graph is a spanning subgraph whose each
component is either $K_2$ or $C_n$. In this paper, a sufficient condition with
regard to tight toughness, isolated toughness and binding number bounds to
guarantee the existence of the $\{K_2,C_{2i+1}| i\geq 2 \}$-factor for any
graph is obtained, which answers a problem due to Gao and Wang (J. Oper. Res.
Soc. China (2021), https://doi.org/10.1007/s40305-021-00357-6).

10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
19
The categories of this paper are: eess
30
The categories of this paper are: q-alg
22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
18
The categories of this paper are: econ
28
The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
29
The categories of this paper are: funct-an
12
The categories of this paper are: nucl-th