Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-commutative Frobenius characteristic of generalized parking
  functions -- Application to enumeration   We give a recursive definition of generalized parking function that allows us
to view them as a species. From there we compute a non-commutative
characteristic of the generalized parking function module, and deduce some
enumeration formulas of structures and isomorphism types. We give as well an
interpretation in several bases of non-commutative symmetric functions.
Finally, we investigate an inclusion-exclusion formula given by Kung and Yan.

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The categories of this paper are: hep-th
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The categories of this paper are: q-alg
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The categories of this paper are: chao-dyn
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-lat
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The categories of this paper are: alg-geom
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The categories of this paper are: astro-ph
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The categories of this paper are: math-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: solv-int
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The categories of this paper are: bayes-an
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The categories of this paper are: nlin
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The categories of this paper are: nucl-th
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The categories of this paper are: q-bio
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The categories of this paper are: hep-ph
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The categories of this paper are: patt-sol