Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Intersection Number of Transformed Digraphs   For any simple digraph $D$ we offer a new proof for the intersection number
of its middle digraph, $M(D)$; while doing so we also solve for the
intersection number when $D$ has loops. In addition, a new transformation, the
union of $D$ and its subdivision digraph, is introduced and its intersection
number calculated in full generality. For the total digraph, we extend previous
arguments letting us solve for the intersection number of $T(D)$ with $D$
possibly having loops, but under the restriction loops of the digraph only
touch (are to or from) themselves, sinks, and sources.

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The categories of this paper are: dg-ga
16
The categories of this paper are: stat
14
The categories of this paper are: math-ph
22
The categories of this paper are: chao-dyn
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
1
The categories of this paper are: cs
15
The categories of this paper are: nucl-ex
8
The categories of this paper are: hep-ex
7
The categories of this paper are: hep-th
17
The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph