# Designing Algorithms for the Shortest Path Reconfiguration Problem Using Decision Diagram Operations

### Shou Ooba, Jun Kawahara, Shin-ichi Minato

#### 2024

#### Abstract

This paper proposes decision diagram (DD)-based algorithms for the (edge-unweighted) shortest s-t path reconfiguration problem. In the problem, given a graph and two shortest s-t paths, the task is to decide whether one shortest path can be transformed into the other one by repeatedly applying the reconfiguration rule to the path, where the reconfiguration rule is to change one vertex of the path at a time while maintaining shortest s-t paths. We propose several DD-based algorithms for the problem and confirm their performance by computer experiments. We succeeded in finding a shortest reconfiguration sequence with length 961,012 in 629.0 seconds for some instance.

Download#### Paper Citation

#### in Harvard Style

Ooba S., Kawahara J. and Minato S. (2024). **Designing Algorithms for the Shortest Path Reconfiguration Problem Using Decision Diagram Operations**. In *Proceedings of the 16th International Conference on Agents and Artificial Intelligence - Volume 3: ICAART*; ISBN 978-989-758-680-4, SciTePress, pages 641-648. DOI: 10.5220/0012379900003636

#### in Bibtex Style

@conference{icaart24,

author={Shou Ooba and Jun Kawahara and Shin-ichi Minato},

title={Designing Algorithms for the Shortest Path Reconfiguration Problem Using Decision Diagram Operations},

booktitle={Proceedings of the 16th International Conference on Agents and Artificial Intelligence - Volume 3: ICAART},

year={2024},

pages={641-648},

publisher={SciTePress},

organization={INSTICC},

doi={10.5220/0012379900003636},

isbn={978-989-758-680-4},

}

#### in EndNote Style

TY - CONF

JO - Proceedings of the 16th International Conference on Agents and Artificial Intelligence - Volume 3: ICAART

TI - Designing Algorithms for the Shortest Path Reconfiguration Problem Using Decision Diagram Operations

SN - 978-989-758-680-4

AU - Ooba S.

AU - Kawahara J.

AU - Minato S.

PY - 2024

SP - 641

EP - 648

DO - 10.5220/0012379900003636

PB - SciTePress