| Issue |
RAIRO-Oper. Res.
Volume 58, Number 1, January-February 2024
Graphs, Combinatorics, Algorithms and Optimization
|
|
|---|---|---|
| Page(s) | 441 - 455 | |
| DOI | https://doi.org/10.1051/ro/2023134 | |
| Published online | 19 February 2024 | |
Polynomial time algorithms for the token swapping problem on cographs
1
Deparment of Computer Science, Federal University of Minas Gerais, Av. Antônio Carlos, 6627, Belo Horizonte, Minas Gerais, Brazil
2
Faculty of Logistics, Molde University College, Molde Campus, Britvegen 2, NO-6410, Molde, Norway
* Corresponding author: caio.tonetti@gmail.com
Received:
22
February
2023
Accepted:
1
September
2023
The reconfiguration framework models the concept of transformation of combinatorial objects under a variety of operations and constraints. When it comes to reconfiguration challenges, the questions of importance are connectivity, diameter and distance, which can be considered and restrained in many ways. This work focuses on the Token Swap problem, a reconfiguration problem with variations that even precede the systematic study of the reconfiguration framework. In this problem, the goal is to convert an initial token placement on the vertices of a graph into a target token placement with the minimum number of swap operations. The main result of this paper is the construction of a polynomial algorithm for threshold graphs and subsequently cographs.
Mathematics Subject Classification: 05C85 / 05C75
Key words: Graph theory / reconfiguration problems
© The authors. Published by EDP Sciences, ROADEF, SMAI 2024
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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