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    An Approximation Result for Matchings in Partitioned Hypergraphs (2014)
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    Publication Date: 2022-03-11
    Description: We investigate the matching and perfect matching polytopes of hypergraphs having a special structure, which we call partitioned hypergraphs. We show that the integrality gap of the standard LP-relaxation is at most $2\sqrt{d}$ for partitioned hypergraphs with parts of size $\leq d$. Furthermore, we show that this bound cannot be improved to $\mathcal{O}(d^{0.5-\epsilon})$.
    Language: English
    Type: reportzib , doc-type:preprint
    Format: application/pdf
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