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arXiv · 2508.09873

The zero blocking numbers of grid graphs

Hau-Yi Lin·Wu-Hsiung Lin·Gerard Jennhwa Chang
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Abstract

In a zero forcing process, vertices of a graph are colored black and white initially, and if there exists a black vertex adjacent to exactly one white vertex, then the white vertex is forced to be black. A zero blocking set is an initial set of white vertices in a zero forcing process such that ultimately there exists a white vertex. The zero blocking number is the minimum size of a zero blocking set. This paper gives the exact value of the zero blocking number of grid graphs.

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Hau-Yi Lin, Wu-Hsiung Lin, Gerard Jennhwa Chang. 2025-08-13. The zero blocking numbers of grid graphs. https://arxiv.org/abs/2508.09873

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