@article{Kiseleva_Hart_Prytomanova_Zhuravel_2020, title={Construction of a generalized Voronoi diagram with optimal placement of generator points based on the theory of optimal set partitioning}, volume={53}, url={http://matstud.org.ua/ojs/index.php/matstud/article/view/12}, DOI={10.30970/ms.53.1.109-112}, abstractNote={<p>The problem of construction of a generalized Voronoi diagram with optimal placement of a finite number of generator points in a bounded set of \textit{n}-dimensional Euclidean space is considered. A method is proposed for solving such a problem based on the formulation of the corresponding continuous problem of optimal partitioning of a set in \textit{n}-dimensional Euclidean space with a partition quality criterion that provides the corresponding form of the Voronoi diagram. Further, to solve such a problem, the developed mathematical and algorithmic apparatus is used, the part of which is Shorâ€™s \textit{r}-algorithm.</p>}, number={1}, journal={Matematychni Studii}, author={Kiseleva, E.M. and Hart, L.L. and Prytomanova , O.M. and Zhuravel, S.V.}, year={2020}, month={Mar.}, pages={109-112} }