Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Graphs, spectral triples and Dirac zeta functions   To a finite, connected, unoriented graph of Betti-number g>=2 and valencies
>=3 we associate a finitely summable, commutative spectral triple (in the sense
of Connes), whose induced zeta functions encode the graph. This gives another
example where non-commutative geometry provides a rigid framework for
classification.

25
The categories of this paper are: patt-sol
5
The categories of this paper are: gr-qc
29
The categories of this paper are: funct-an
22
The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph
3
The categories of this paper are: physics
18
The categories of this paper are: econ
24
The categories of this paper are: dg-ga
21
The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin
13
The categories of this paper are: quant-ph
14
The categories of this paper are: math-ph