Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: State Complexity of Two Combined Operations: Reversal-Catenation and
  Star-Catenation   In this paper, we show that, due to the structural properties of the
resulting automaton obtained from a prior operation, the state complexity of a
combined operation may not be equal but close to the mathematical composition
of the state complexities of its component operations. In particular, we
provide two witness combined operations: reversal combined with catenation and
star combined with catenation.

15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
21
The categories of this paper are: adap-org
26
The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
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The categories of this paper are: q-fin
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The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
18
The categories of this paper are: econ
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg