MathDBNonexistence conjecture for 5-rowed minimal cubic configurations
Nonexistence conjecture for 5-rowed minimal cubic configurations
A minimal cubic configuration is a minimal configuration associated with the cubic forbidden-configuration problem; a configuration is minimal when deleting any row or column destroys the relevant cubic property. Nonexistence conjecture for 5-rowed minimal cubic configurations. There exists no 5-rowed minimal cubic configuration.
The source presents this as a conjectural extension of the classification of simple minimal cubic configurations. It notes that no minimal cubic configuration has 7 or more rows, while the 5-row case remains part of the proposed complete classification.
Sources & referencesView supporting material
Primary source
Attila Sali and Sam Spiro, “Forbidden Families of Minimal Quadratic and Cubic Configurations”, arXiv:1703.05602 (2017).
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