Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Simple odd $\beta$-cycle inequalities for binary polynomial optimization   We consider the multilinear polytope which arises naturally in binary
polynomial optimization. Del Pia and Di Gregorio introduced the class of odd
$\beta$-cycle inequalities valid for this polytope, showed that these generally
have Chv\'atal rank 2 with respect to the standard relaxation and that,
together with flower inequalities, they yield a perfect formulation for cycle
hypergraph instances. Moreover, they describe a separation algorithm in case
the instance is a cycle hypergraph. We introduce a weaker version, called
simple odd $\beta$-cycle inequalities, for which we establish a strongly
polynomial-time separation algorithm for arbitrary instances. These
inequalities still have Chv\'atal rank 2 in general and still suffice to
describe the multilinear polytope for cycle hypergraphs.

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The categories of this paper are: chem-ph
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The categories of this paper are: q-alg
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The categories of this paper are: comp-gas
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The categories of this paper are: econ
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The categories of this paper are: physics
0
The categories of this paper are: hep-ph
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The categories of this paper are: solv-int
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The categories of this paper are: q-bio
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-th
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The categories of this paper are: adap-org
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The categories of this paper are: cmp-lg
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The categories of this paper are: nucl-ex
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The categories of this paper are: bayes-an
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The categories of this paper are: math-ph
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The categories of this paper are: cond-mat