English

Approximation schemes for bounded distance problems on fractionally treewidth-fragile graphs

Data Structures and Algorithms 2021-05-06 v1 Discrete Mathematics Combinatorics

Abstract

We give polynomial-time approximation schemes for monotone maximization problems expressible in terms of distances (up to a fixed upper bound) and efficiently solvable in graphs of bounded treewidth. These schemes apply in all fractionally treewidth-fragile graph classes, a property that is true for many natural graph classes with sublinear separators. We also provide quasipolynomial-time approximation schemes for these problems in all classes with sublinear separators.

Keywords

Cite

@article{arxiv.2105.01780,
  title  = {Approximation schemes for bounded distance problems on fractionally treewidth-fragile graphs},
  author = {Zdeněk Dvořák and Abhiruk Lahiri},
  journal= {arXiv preprint arXiv:2105.01780},
  year   = {2021}
}

Comments

14 pages, no figures

R2 v1 2026-06-24T01:47:06.624Z