Document Type
Article
Publication Date
1-13-2026
Published In
La Matematica
Abstract
Reconfiguration examines relationships among solutions to a problem. Power domination models placement of monitoring units that allow monitoring of an entire electrical power network, and information about modifying one monitoring solution to another has applications. The study of token addition and removal and token jumping reconfiguration graphs for power domination is initiated. Some results established here can be extended by applying the methods used for power domination to reconfiguration graphs for other parameters. A universal framework for the study of reconfiguration of parameters that are defined from sets of vertices of a graph and satisfy certain rules is introduced. This allows application of some of the results to additional parameters such as domination and zero forcing.
Keywords
Reconfiguration, Power domination, Token addition and removal, Token jumping, Hypercubes
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
Recommended Citation
B. Bjorkman, C. Bozeman, D. Ferraro, M. Flagg, Cheryl Grood, L. Hogben, B. Jacob, and Carolyn Reinhart.
(2026).
"Power Domination Reconfiguration".
La Matematica.
Volume 5,
Issue 1.
DOI: 10.1007/s44007-025-00187-5
https://works.swarthmore.edu/fac-math-stat/351