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An optimal local approximation algorithm for max-min linear programs

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 نشر من قبل Jukka Suomela
 تاريخ النشر 2008
  مجال البحث الهندسة المعلوماتية
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We present a local algorithm (constant-time distributed algorithm) for approximating max-min LPs. The objective is to maximise $omega$ subject to $Ax le 1$, $Cx ge omega 1$, and $x ge 0$ for nonnegative matrices $A$ and $C$. The approximation ratio of our algorithm is the best possible for any local algorithm; there is a matching unconditional lower bound.



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