Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Markov-Dyck shifts of vertex type   For a given finite directed graph $G$, there are two types of Markov-Dyck
shifts, the Markov-Dyck shift $D_G^V$ of vertex type and the Markov-Dyck shift
$D_G^E$ of edge type. It is shown that, if $G$ does not have multi-edges, the
former is a finite-to-one factor of the latter, and they have the same
topological entropy. An expression for the zeta function of a Markov-Dyck shift
of vertex type is given. It is different from that of the Markov-Dyck shift of
edge type.

34
The categories of this paper are: chem-ph
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
19
The categories of this paper are: eess
24
The categories of this paper are: dg-ga
32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int
5
The categories of this paper are: gr-qc
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an