Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Enumeration of bilaterally symmetric 3-noncrossing partitions   Schutzenberger's theorem for the ordinary RSK correspondence naturally
extends to Chen et. al's correspondence for matchings and partitions. Thus the
counting of bilaterally symmetric $k$-noncrossing partitions naturally arises
as an analogue for involutions. In obtaining the analogous result for
3-noncrossing partitions, we use a different technique to develop a Maple
package for 2-dimensional vacillating lattice walk enumeration problems. The
package also applies to the hesitating case. As applications, we find several
interesting relations for some special bilaterally symmetric partitions.

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The categories of this paper are: plasm-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: patt-sol
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The categories of this paper are: chem-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: supr-con
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The categories of this paper are: q-alg
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The categories of this paper are: ao-sci
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The categories of this paper are: bayes-an
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The categories of this paper are: atom-ph
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The categories of this paper are: q-fin
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The categories of this paper are: hep-th
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The categories of this paper are: funct-an
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The categories of this paper are: hep-ex
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The categories of this paper are: comp-gas
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The categories of this paper are: solv-int