2006 | OriginalPaper | Buchkapitel
A Tale of Two Methods
verfasst von : Reuven Bar-Yehuda, Dror Rawitz
Erschienen in: Theoretical Computer Science
Verlag: Springer Berlin Heidelberg
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We describe two widely used methods for the design and analysis of approximation algorithms, the
primal-dual schema
and the
local ratio technique
. We focus on the creation of both methods by revisiting two results by Bar-Yehuda and Even—the linear time primal-dual approximation algorithm for set cover, and its local ratio interpretation. We also follow the evolution of the two methods by discussing more recent studies.