Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: New families of graphs determined by their generalized spectrum   We construct infinite families of graphs that are determined by their
generalized spectrum. This construction is based on new formulae for the
determinant of the walk matrix of a graph. The graphs constructed here all
satisfy a lower divisibility for the determinant of their walk matrix.

14
The categories of this paper are: math-ph
34
The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an