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Author Andrews, Matthew ♦ Zhang, Lisa
Source ACM Digital Library
Content type Text
Publisher Association for Computing Machinery (ACM)
File Format PDF
Copyright Year ©2008
Language English
Subject Domain (in DDC) Computer science, information & general works ♦ Data processing & computer science
Subject Keyword Hardness of approximation ♦ Congestion minimization ♦ Undirected graphs
Abstract Given a set of demands in a directed graph, the directed congestion minimization problem is to route every demand with the objective of minimizing the heaviest load over all edges. We show that for any constant ϵ > 0, there is no $Ω(log^{1™ϵ}$ $\textit{M})-approximation$ algorithm on networks of size $\textit{M}$ unless $\textit{NP}$ ⊆ $\textit{ZPTIME}(\textit{n}polylog$ $\textit{n}).$ This bound is almost tight given the $\textit{O}(log$ $\textit{M}/log$ log $\textit{M})-approximation$ via randomized rounding due to Raghavan and Thompson.
ISSN 00045411
Age Range 18 to 22 years ♦ above 22 year
Educational Use Research
Education Level UG and PG
Learning Resource Type Article
Publisher Date 2008-12-01
Publisher Place New York
e-ISSN 1557735X
Journal Journal of the ACM (JACM)
Volume Number 55
Issue Number 6
Page Count 20
Starting Page 1
Ending Page 20

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Source: ACM Digital Library