Zero forcing irredundant sets
Combinatorics
2026-03-31 v3
Abstract
Irredundance has been studied in the context of dominating sets, via the concept of private neighbor. Here irredundance of zero forcing sets is introduced via the concept of a private fort and the upper and lower zero forcing irrdedundance numbers and are defined. Bounds on and are established and graphs having extreme values of and are characterized. The effect of the join and corona operations is studied. As the concept of a zero forcing irrdedundant set is new, there are many questions for future research.
Keywords
Cite
@article{arxiv.2403.03921,
title = {Zero forcing irredundant sets},
author = {Bryan A. Curtis and Leslie Hogben and Adriana Roux},
journal= {arXiv preprint arXiv:2403.03921},
year = {2026}
}