Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On $k$-Connected $\Gamma$-Extensions of Binary Matroids   Slater introduced the point-addition operation on graphs to classify
4-connected graphs. The $\Gamma$-extension operation on binary matroids is a
generalization of the point-addition operation. In this paper, we obtain
necessary and sufficient conditions to preserve $k$-connectedness of a binary
matroid under the $\Gamma$-extension operation. We also obtain a necessary and
sufficient condition to get a connected matroid from a disconnected binary
matroid using the $\Gamma$-extension operation.

15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
24
The categories of this paper are: dg-ga
18
The categories of this paper are: econ
4
The categories of this paper are: cond-mat
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
26
The categories of this paper are: bayes-an
32
The categories of this paper are: atom-ph
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
28
The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin