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arXiv · 2103.08698

Approximation metatheorems for classes with bounded expansion

Zdeněk Dvořák
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Abstract

We give a number of approximation metatheorems for monotone maximization problems expressible in the first-order logic, in substantially more general settings than the previously known. We obtain * constant-factor approximation algorithm in any class of graphs with bounded expansion, * a QPTAS in any class with strongly sublinear separators, and * a PTAS in any fractionally treewidth-fragile class (which includes all common classes with strongly sublinear separators. Moreover, our tools also give an exact subexponential-time algorithm in any class with strongly sublinear separators.

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Zdeněk Dvořák. 2021-03-15. Approximation metatheorems for classes with bounded expansion. https://arxiv.org/abs/2103.08698

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