English

Arc-routing for winter road maintenance

Data Structures and Algorithms 2020-11-17 v3 Computational Complexity

Abstract

The arc-routing problems are known to be notoriously hard. We study here a natural arc-routing problem on trees and more generally on bounded tree-width graphs and surprisingly show that it can be solved in a polynomial time. This implies a sub-exponential algorithm for the planar graphs and small number of maintaining cars, which is of practical relevance.

Keywords

Cite

@article{arxiv.2001.08416,
  title  = {Arc-routing for winter road maintenance},
  author = {Jiří Fink and Martin Loebl},
  journal= {arXiv preprint arXiv:2001.08416},
  year   = {2020}
}

Comments

22 pages, no figure

R2 v1 2026-06-23T13:18:31.558Z