The minimum-fort-size conjecture for marginal observances
The minimum-fort-size conjecture for marginal observances
Let be a graph. Write for the minimum fort size of , let denote the marginal observance at step , and let denote the power domination number. For a positive integer , write . Minimum-fort-size conjecture. If
then
for all . This asks whether the relationship between minimum fort size and marginal observances established for smaller minimum fort sizes extends to minimum fort size at least four; its status is not resolved in the source.
Sources & referencesView supporting material
Primary source
Beth Bjorkman, Sean English and Johnathan Koch, “Cost-Benefit Analysis for PMU Placement in Power Grids”, arXiv:2601.19775 (2026).
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