Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An algebraic approach to enumerating non-equivalent double traces in
  graphs   Recently designed biomolecular approaches to build single chain polypeptide
polyhedra as molecular origami nanostructures have risen high interest in
various double traces of the underlying graphs of these polyhedra. Double
traces are walks that traverse every edge of the graph twice, usually with some
additional conditions on traversal direction and vertex neighborhood coverage.
Given that double trace properties are intimately related to theefficiency of
polypeptide polyhedron construction, enumerating all different possible double
traces and analyzing their properties is an important step in the construction.
In the paper, we study the automorphism group of double traces and present an
algebraic approach to this problem, yielding a branch-and-bound algorithm.

34
The categories of this paper are: chem-ph
14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th
17
The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
1
The categories of this paper are: cs
8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph
9
The categories of this paper are: nlin
21
The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
29
The categories of this paper are: funct-an