The zero-forcing consequence of the minimal-forts bound

From papers

Let GG be a graph, let nn be its order, and let FG\mathcal{F}_G denote the family of minimal forts of GG. Let Z(G)\operatorname{Z}(G) denote the zero forcing number of GG. Zero-forcing consequence conjecture. If

FG=n/3,\lvert\mathcal{F}_G\rvert = n/3,

then

Z(G)=n/3.\operatorname{Z}(G)=n/3.

The paper presents this as an observation supported by examples and by a proposition relating minimal forts, fort number, and zero forcing number; no general proof or resolution is supplied.

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Sources & referencesView supporting material

Primary source

Thomas R. Cameron and Kelvin Li, “On the minimal forts of trees”, arXiv:2512.12874 (2026).

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