Introduction to reconfiguration

N Nishimura - Algorithms, 2018 - mdpi.com
Reconfiguration is concerned with relationships among solutions to a problem instance,
where the reconfiguration of one solution to another is a sequence of steps such that each …

Reconfiguration of spanning trees with many or few leaves

N Bousquet, T Ito, Y Kobayashi, H Mizuta… - arXiv preprint arXiv …, 2020 - arxiv.org
Let $ G $ be a graph and $ T_1, T_2 $ be two spanning trees of $ G $. We say that $ T_1 $
can be transformed into $ T_2 $ via an edge flip if there exist two edges $ e\in T_1 $ and $ f …

Reconfiguring undirected paths

ED Demaine, D Eppstein, A Hesterberg, K Jain… - Algorithms and Data …, 2019 - Springer
We consider problems in which a simple path of fixed length, in an undirected graph, is to be
shifted from a start position to a goal position by moves that add an edge to either end of the …

Reconfiguring (non-spanning) arborescences

T Ito, Y Iwamasa, Y Kobayashi, Y Nakahata… - Theoretical Computer …, 2023 - Elsevier
In this paper, we investigate the computational complexity of subgraph reconfiguration
problems in directed graphs. More specifically, we focus on the problem of reconfiguring …

Reconfiguration of time-respecting arborescences

T Ito, Y Iwamasa, N Kamiyama, Y Kobayashi… - Algorithms and Data …, 2023 - Springer
An arborescence, which is a directed analogue of a spanning tree in an undirected graph, is
one of the most fundamental combinatorial objects in a digraph. In this paper, we study …

Reconfiguring directed trees in a digraph

T Ito, Y Iwamasa, Y Kobayashi, Y Nakahata… - International Computing …, 2021 - Springer
In this paper, we investigate the computational complexity of subgraph reconfiguration
problems in directed graphs. More specifically, we focus on the problem of reconfiguring …

Reasons to Fall (More) in Love with Combinatorial Reconfiguration

N Nishimura - … Conference and Workshops on Algorithms and …, 2024 - Springer
The goal of the talk is to give ideas and inspiration to everyone in the audience, whether
currently working in combinatorial reconfiguration or new to the area. Organized as a series …

Reconfiguration of minimum steiner trees via vertex exchanges

H Mizuta, T Hatanaka, T Ito, X Zhou - … International Symposium on …, 2019 - drops.dagstuhl.de
In this paper, we study the problem of deciding if there is a transformation between two given
minimum Steiner trees of an unweighted graph such that each transformation step respects …

Reconfiguration of digraph homomorphisms

B Lévêque, M Mühlenthaler, T Suzan - arXiv preprint arXiv:2205.09210, 2022 - arxiv.org
For a fixed graph H, the H-Recoloring problem asks whether for two given homomorphisms
from a graph G to H, we can transform one into the other by changing the image of a single …

Reconfiguration of regular induced subgraphs

H Eto, T Ito, Y Kobayashi, Y Otachi, K Wasa - International Conference and …, 2022 - Springer
We study the problem of checking the existence of a step-by-step transformation of d-regular
induced subgraphs in a graph, where d≥ 0 and each step in the transformation must follow …