Abstract
We lay out a refined framework to discuss various approximation algorithms for combinatorial optimization problems residing inside the optimization class PO. We are focused on optimization problems characterized by computation models of uniform NC1-circuits, uniform-AC0, and logarithmic-space Turing machines. We present concrete optimization problems and prove that they are indeed complete under reasonably weak reductions. We also show collapses and separations among refined optimization classes.
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Yamakami, T. (2013). Uniform-Circuit and Logarithmic-Space Approximations of Refined Combinatorial Optimization Problems. In: Widmayer, P., Xu, Y., Zhu, B. (eds) Combinatorial Optimization and Applications. COCOA 2013. Lecture Notes in Computer Science, vol 8287. Springer, Cham. https://doi.org/10.1007/978-3-319-03780-6_28
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DOI: https://doi.org/10.1007/978-3-319-03780-6_28
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-03779-0
Online ISBN: 978-3-319-03780-6
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