Given a set S of s points in the plane, where do we place a new point, p, in order to maximize the area of its region in the Voronoi diagram of S and p? We study the case where the Voronoi neighbors of p are in convex position, and prove that there is at most one local maximum.

Additional Metadata
Keywords Computational geometry, Locational planning, Optimization, Voronoi diagram
Persistent URL dx.doi.org/10.1007/3-540-36136-7_54
Citation
Dehne, F, Klein, R. (Rolf), & Seidel, R. (Raimund). (2002). Maximizing a voronoi region: The convex case. doi:10.1007/3-540-36136-7_54