Functionals on Triangulations of Delaunay Sets
  We study densities of functionals over uniformly bounded triangulations of a Delaunay set of vertices, and prove that the minimum is attained for the Delaunay triangulation if this is the case for finite sets. 
Nikolay P. Dolbilin, Herbert Edelsbrunner, Alexey Glazyrin and Oleg R.   Musin
math.MG