Arc-routing for winter road maintenance

Published 23 Jan 2020 in cs.DS and cs.CC | (2001.08416v3)

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.

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