A note on acyclic token sliding reconfiguration graphs of independent sets

D Avis, DA Hoang - arXiv preprint arXiv:2301.00317, 2023 - arxiv.org
We continue the study of token sliding reconfiguration graphs of independent sets initiated
by the authors in an earlier paper (arXiv: 2203.16861). Two of the topics in that paper were …

Extremal Independent Set Reconfiguration

N Bousquet, B Durain, T Pierron… - arXiv preprint arXiv …, 2023 - arxiv.org
The independent set reconfiguration problem asks whether one can transform one given
independent set of a graph into another, by changing vertices one by one in such a way the …

[PDF][PDF] On Two Combinatorial Reconfiguration Problems: Reachability and Hamiltonicity

PH Hoang - 2022 - research-collection.ethz.ch
This thesis considers two problems under the reconfiguration framework: ARRIVAL and
exhaustive generation of combinatorial objects. Both problems can be viewed in terms of …

Gated independence in graphs

Y Civan, Z Deniz, MA Yetim - Discrete Applied Mathematics, 2024 - Elsevier
Abstract If G=(V, E) is a (finite and simple) graph, we call an independent set X a gated
independent set in G if for each x∈ X, there exists a neighbor y of x such that (X∖{x})∪{y} is …

On the complexity of distance-d independent set reconfiguration

DA Hoang - Theoretical Computer Science, 2024 - Elsevier
For a fixed positive integer d≥ 2, a distance-d independent set (DdIS) of a graph is a vertex-
subset whose distance between any two members is at least d. Imagine that there is a token …

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 …

[PDF][PDF] The Application of Forbidden Structures in Solving Reconfiguration Problems

DA Hoang - 2022 - hoanganhduc.github.io
The Application of Forbidden Structures in Solving Reconfiguration Problems Page 1 The
Application of Forbidden Structures in Solving Reconfiguration Problems Duc A. Hoang Graduate …