Title
The Hierarchical Chinese Postman Problem: The Slightest Disorder Makes It Hard, Yet Disconnectedness Is Manageable
Abstract
The Hierarchical Chinese Postman Problem is finding a shortest traversal of all edges of a graph respecting precedence constraints given by a partial order on classes of edges. We show that the special case with connected classes is NP-hard even on orders decomposable into a chain and an incomparable class. For the case with linearly ordered (possibly disconnected) classes, we get 5/3-approximations and fixed-parameter algorithms by transferring results from the Rural Postman Problem. (C) 2021 Elsevier B.V. All rights reserved.
Year
DOI
Venue
2021
10.1016/j.orl.2021.01.017
OPERATIONS RESEARCH LETTERS
Keywords
DocType
Volume
Approximation algorithm, Fixed-parameter algorithm, NP-hardness, Arc routing, Rural Postman Problem, Temporal graphs
Journal
49
Issue
ISSN
Citations 
2
0167-6377
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Vsevolod A. Afanasev100.34
René van Bevern212619.33
O. Yu. Tsidulko312.85