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- W2949285412 abstract "We study the efficient approximability of basic graph and logic problems in the literature when instances are specified hierarchically as in cite{Le89} or are specified by 1-dimensional finite narrow periodic specifications as in cite{Wa93}. We show that, for most of the problems $Pi$ considered when specified using {bf k-level-restricted} hierarchical specifications or $k$-narrow periodic specifications the following holds: item Let $rho$ be any performance guarantee of a polynomial time approximation algorithm for $Pi$, when instances are specified using standard specifications. Then $forall epsilon > 0$, $ Pi$ has a polynomial time approximation algorithm with performance guarantee $(1 + epsilon) rho$. item $Pi$ has a polynomial time approximation scheme when restricted to planar instances. end{romannum} These are the first polynomial time approximation schemes for PSPACE-hard hierarchically or periodically specified problems. Since several of the problems considered are PSPACE-hard, our results provide the first examples of natural PSPACE-hard optimization problems that have polynomial time approximation schemes. This answers an open question in Condon et. al. cite{CF+93}." @default.
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- W2949285412 date "1998-09-23" @default.
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- W2949285412 title "Approximation Algorithms for PSPACE-Hard Hierarchically and Periodically Specified Problems" @default.
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