Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Graph Equivalence Classes for Spectral Projector-Based Graph Fourier
  Transforms   We define and discuss the utility of two equivalence graph classes over which
a spectral projector-based graph Fourier transform is equivalent: isomorphic
equivalence classes and Jordan equivalence classes. Isomorphic equivalence
classes show that the transform is equivalent up to a permutation on the node
labels. Jordan equivalence classes permit identical transforms over graphs of
nonidentical topologies and allow a basis-invariant characterization of total
variation orderings of the spectral components. Methods to exploit these
classes to reduce computation time of the transform as well as limitations are
discussed.

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The categories of this paper are: q-fin
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-ph
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The categories of this paper are: math-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: q-alg
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The categories of this paper are: quant-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: nucl-th
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The categories of this paper are: nlin
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The categories of this paper are: plasm-ph
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The categories of this paper are: stat
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The categories of this paper are: math
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The categories of this paper are: supr-con