Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Conformally Covariant Operators and Conformal Invariants on Weighted
  Graphs   Let G be a finite connected simple graph. We define the moduli space of
conformal structures on G. We propose a definition of conformally covariant
operators on graphs, motivated by [25]. We provide examples of conformally
covariant operators, which include the edge Laplacian and the adjacency matrix
on graphs. In the case where such an operator has a nontrivial kernel, we
construct conformal invariants, providing discrete counterparts of several
results in [11,12] established for Riemannian manifolds. In particular, we show
that the nodal sets and nodal domains of null eigenvectors are conformal
invariants.

12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat
13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
21
The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
24
The categories of this paper are: dg-ga
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The categories of this paper are: econ
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The categories of this paper are: math-ph
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The categories of this paper are: eess
16
The categories of this paper are: stat
1
The categories of this paper are: cs