@misc{BeckenbachBorndoerfer, author = {Beckenbach, Isabel and Bornd{\"o}rfer, Ralf}, title = {An Approximation Result for Matchings in Partitioned Hypergraphs}, doi = {10.1007/978-3-319-28697-6_5}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-51083}, abstract = {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 = {en} }