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Author

Sina Ghasemi Nezhad

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Preprint Sep 2026

Fort Abundance in Zero Forcing

This paper paper concerns the study of forts, the sets that obstruct zero forcing. We show that every block graph on $n$ vertices has at least $n/3$ minimal forts, extending a recent bound for trees by Cameron and and Li (arXiv:2512.12874). The number of forts, and with it the number of compatible collections, grows ex...

A. Abiad, Sina Ghasemi Nezhad · 0 citations
#edge computing Preprint Oct 2026

The Zero Forcing Number of Graph Powers

The $k$-th power of a simple graph $G$, denoted $G^k$, is the graph with vertex set $V(G)$ where two vertices are adjacent if they are within distance $k$ in $G$. We investigate the zero forcing number of graph powers. Powers of graphs are much denser and generally not encompassed by existing results on zero forcing of...

A. Abiad, Mary Flagg, Sina Ghasemi Nezhad et al. · 0 citations

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