Zero forcing irredundant sets
arxiv(2024)
摘要
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 (G) and (G) are defined.
Bounds on (G) and (G) are established and graphs having
extreme values of (G) and (G) 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.
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