TY - JOUR AB - We introduce the Voronoi functional of a triangulation of a finite set of points in the Euclidean plane and prove that among all geometric triangulations of the point set, the Delaunay triangulation maximizes the functional. This result neither extends to topological triangulations in the plane nor to geometric triangulations in three and higher dimensions. AU - Edelsbrunner, Herbert AU - Glazyrin, Alexey AU - Musin, Oleg AU - Nikitenko, Anton ID - 1173 IS - 5 JF - Combinatorica SN - 02099683 TI - The Voronoi functional is maximized by the Delaunay triangulation in the plane VL - 37 ER -