Solving Distance-constrained Labeling Problems for Small Diameter Graphs via TSP
Data Structures and Algorithms
2023-03-03 v1
Abstract
In this paper, we give a simple polynomial-time reduction of {L(p)-Labeling} on graphs with a small diameter to {Metric (Path) TSP}, which enables us to use numerous results on {(Metric) TSP}. On the practical side, we can utilize various high-performance heuristics for TSP, such as Concordo and LKH, to solve our problem. On the theoretical side, we can see that the problem for any p under this framework is 1.5-approximable, and it can be solved by the Held-Karp algorithm in O(2^n n^2) time, where n is the number of vertices, and so on.
Cite
@article{arxiv.2303.01290,
title = {Solving Distance-constrained Labeling Problems for Small Diameter Graphs via TSP},
author = {Tesshu Hanaka and Hirotaka Ono and Kosuke Sugiyama},
journal= {arXiv preprint arXiv:2303.01290},
year = {2023}
}
Comments
6 pages, 2 figures