Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A generating tree approach to k-nonnesting partitions and permutations   We describe a generating tree approach to the enumeration and exhaustive
generation of k-nonnesting set partitions and permutations. Unlike previous
work in the literature using the connections of these objects to Young tableaux
and restricted lattice walks, our approach deals directly with partition and
permutation diagrams. We provide explicit functional equations for the
generating functions, with k as a parameter.

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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-lat
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The categories of this paper are: eess
18
The categories of this paper are: econ
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The categories of this paper are: quant-ph
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-ex
4
The categories of this paper are: cond-mat
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The categories of this paper are: adap-org
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The categories of this paper are: dg-ga
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The categories of this paper are: solv-int
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The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol