The central limit theorem for weighted minimal spanning trees on random points

Let Xᵢ, 1 ≤ i < ∞ be i.i.d. with uniform distribution on [0, 1]ᵈ and let M(X₁, , Xₙ; α) be min ∑e ε T' |e|α; T' a spanning tree on{X_1, , X_n}. Then we show that for α > 0, M(X₁, , Xₙ; α) - EM (X₁, , Xₙ; α)n(d-2 α)/2d → N(0, σα, d²) in distribution for some σα, d² > 0.