Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Patterns in treeshelves   We study the distribution and the popularity of left children on sets of
treeshelves avoiding a pattern of size three. (Treeshelves are ordered binary
increasing trees where every child is connected to its parent by a left or a
right link.) The considered patterns are sub-treeshelves, and for each such a
pattern we provide exponential generating function for the corresponding
distribution and popularity. Finally, we present constructive bijections
between treeshelves avoiding a pattern of size three and some classes of
simpler combinatorial objects.

28
The categories of this paper are: alg-geom
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The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
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The categories of this paper are: adap-org
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
9
The categories of this paper are: nlin
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The categories of this paper are: eess
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The categories of this paper are: stat
3
The categories of this paper are: physics
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The categories of this paper are: solv-int
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The categories of this paper are: funct-an
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The categories of this paper are: nucl-ex
12
The categories of this paper are: nucl-th