@inbook{c99aaf7000de4598af477d5a015573aa,

title = "On the complexity of approximating k-dimensional matching",

abstract = "We study the complexity of bounded variants of graph problems, mainly the problem of k-Dimensional Matching (k-DM), namely, the problem of finding a maximal matching in a k-partite k-uniform balanced hyper-graph. We prove that k-DM cannot be efficiently approximated to within a factor of O(k/ln k) unless P = NP. This improves the previous factor of k/2O(√ln k) by Trevisan [Tre01]. For low k values we prove NP-hardness factors of 54/53-ε, 30/29-ε and 23/22-ε for 4-DM, 5-DM and 6-DM respectively. These results extend to the problem of k-Set-Packing and the problem of Maximum Independent-Set in (k + 1)-claw-free graphs.",

author = "Elad Hazan and Shmuel Safra and Oded Schwartz",

year = "2003",

doi = "10.1007/978-3-540-45198-3_8",

language = "American English",

isbn = "3540407707",

series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",

publisher = "Springer Verlag",

pages = "83--97",

editor = "Sanjeev Asora and Amit Sahai and Klaus Jansen and Rolim, {Jose D.P.}",

booktitle = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",

address = "Germany",

}