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arXiv · 2012.00216

Tight Bounds on the Probabilistic Zero Forcing on Hypercubes and Grids

Natalie C. Behague·Trent Marbach·Pawel Pralat
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Abstract

Zero forcing is a deterministic iterative graph colouring process in which vertices are coloured either blue or white, and in every round, any blue vertices that have a single white neighbour force these white vertices to become blue. Here we study probabilistic zero forcing, where blue vertices have a non-zero probability of forcing each white neighbour to become blue. We explore the propagation time for probabilistic zero forcing on hypercubes and grids.

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Natalie C. Behague, Trent Marbach, Pawel Pralat. 2021-03-16. Tight Bounds on the Probabilistic Zero Forcing on Hypercubes and Grids. https://arxiv.org/abs/2012.00216

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