Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exact forbidden subposet results using Chain decompositions of the Cycle   We introduce a method of decomposing the family of intervals along a cyclic
permutation into chains to determine the size of the largest family of subsets
of $[n]:= \{1,2,...,n\}$ not containing one or more given posets as a subposet.
De Bonis, Katona and Swanepoel determined the size of the largest
butterfly-free family. We strengthen this result by showing that, for certain
posets containing the butterfly poset as a subposet, the same bound holds. We
also obtain the corresponding LYM-type inequalities.

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The categories of this paper are: patt-sol
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The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat
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The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
3
The categories of this paper are: physics
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The categories of this paper are: q-fin
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The categories of this paper are: plasm-ph
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The categories of this paper are: eess
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The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
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The categories of this paper are: econ
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-th
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The categories of this paper are: chao-dyn