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 …

A survey on the parameterized complexity of reconfiguration problems

N Bousquet, AE Mouawad, N Nishimura… - Computer Science …, 2024 - Elsevier
A graph vertex-subset problem defines which subsets of the vertices of an input graph are
feasible solutions. We view a feasible solution as a set of tokens placed on the vertices of …

[HTML][HTML] Reconfiguration in bounded bandwidth and tree-depth

M Wrochna - Journal of Computer and System Sciences, 2018 - Elsevier
We show that several reconfiguration problems known to be PSPACE-complete remain so
even when limited to graphs of bounded bandwidth (and hence pathwidth and treewidth) …

A survey on the parameterized complexity of the independent set and (connected) dominating set reconfiguration problems

N Bousquet, AE Mouawad, N Nishimura… - arxiv preprint arxiv …, 2022 - arxiv.org
A graph vertex-subset problem defines which subsets of the vertices of an input graph are
feasible solutions. We view a feasible solution as a set of tokens placed on the vertices of …

[HTML][HTML] The complexity of dominating set reconfiguration

A Haddadan, T Ito, AE Mouawad, N Nishimura… - Theoretical Computer …, 2016 - Elsevier
Suppose that we are given two dominating sets D s and D t of a graph G whose cardinalities
are at most a given threshold k. Then, we are asked whether there exists a sequence of …

The perfect matching reconfiguration problem

M Bonamy, N Bousquet, M Heinrich, T Ito… - arxiv preprint arxiv …, 2019 - arxiv.org
We study the perfect matching reconfiguration problem: Given two perfect matchings of a
graph, is there a sequence of flip operations that transforms one into the other? Here, a flip …

Feedback vertex set reconfiguration in planar graphs

N Bousquet, F Hommelsheim, Y Kobayashi… - Theoretical Computer …, 2023 - Elsevier
We study the complexity of deciding whether for two given feedback vertex sets of a graph
there is a step-by-step transformation between them, such that for each feedback vertex set …

Super Mario Bros. is harder/easier than we thought

ED Demaine, G Viglietta, A Williams - 2016 - dspace.mit.edu
Mario is back! In this sequel, we prove that solving a generalized level of Super Mario Bros.
is PSPACE-complete, strengthening the previous NP-hardness result (FUN 2014). Both our …

Algorithmic meta-theorems for combinatorial reconfiguration revisited

T Gima, T Ito, Y Kobayashi, Y Otachi - Algorithmica, 2024 - Springer
Given a graph and two vertex sets satisfying a certain feasibility condition, a reconfiguration
problem asks whether we can reach one vertex set from the other by repeating prescribed …

On finding short reconfiguration sequences between independent sets

A Agrawal, S Hait, AE Mouawad - Journal of Computer and System …, 2025 - Elsevier
Abstract Token Sliding Optimization asks whether there exists a sequence of at most ℓ steps
that transforms independent set S into T, where at each step a token slides to an unoccupied …