Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Isospectral Fruits of Representation Theory: Quantum Graphs and
  Drums   We present a method which enables one to construct isospectral objects, such
as quantum graphs and drums. One aspect of the method is based on
representation theory arguments which are shown and proved. The complementary
part concerns techniques of assembly which are both stated generally and
demonstrated. For that purpose, quantum graphs are grist to the mill. We
develop the intuition that stands behind the construction as well as the
practical skills of producing isospectral objects. We discuss the theoretical
implications which include Sunada's theorem of isospectrality arising as a
particular case of this method. A gallery of new isospectral examples is
presented and some known examples are shown to result from our theory.

23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
9
The categories of this paper are: nlin
7
The categories of this paper are: hep-th
11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
3
The categories of this paper are: physics