Geodesic
Determination of ${msd}(L^n)$
Journal of Algebraic Combinatorics, Tome 9 (1999) no. 2, pp. 161-171.

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Summary: The median stabilization degree (msd, for short) of a median algebra measures the largest possible number of steps needed to generate a subalgebra with an arbitrary set of generators. With computer assistance, we found that msd of the lattice - 1, 0, 1 4 equals 2. This value is of critical importance to determine msd of - 1, 0, 1n for all n $ge$ 5 and to determine msd of the free median algebra $lambda$(r) for almost all r $ge$ 5.
Keywords: distributive lattice, free median algebra, graphic cube, median operator, median stabilization degree 
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     title = {Determination of ${msd}(L^n)$},
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van de Vel, M. Determination of ${msd}(L^n)$. Journal of Algebraic Combinatorics, Tome 9 (1999) no. 2, pp. 161-171. http://geodesic.mathdoc.fr/item/JAC_1999__9_2_a1/