MathDBThe strict MMS star conjecture for Latin squares of order 7
The strict MMS star conjecture for Latin squares of order 7
A Latin square of order is considered with its associated incidence structure. It has the strict MMS star property when the stars are the only sets of intersecting lines of maximum size under the relevant MMS condition.
Strict MMS star conjecture for order 7. Any Latin square of order has the strict MMS star property.
The source presents this as a conjecture following the discussion of small Latin squares and gives no resolution evidence. Its status is therefore open.
Sources & referencesView supporting material
Primary source
Ferdinand Ihringer and Karen Meagher, “Manickam-Miklós-Singhi Conjectures on Partial Geometries”, arXiv:1606.06275 (2017).
Progress summary
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