Construction of a minimal grid connecting three and four objects, arbitrarily placed on the plane
H. M. Voznyak, O. H. Voznyak · Prykladni Problemy Mekhaniky i Matematyky · 2023
The optimal problems related to the construction of the shortest grid of connecting lines for a certain number of objects placed on the plane are considered. In general, a system of points (objects) is given and a minimal grid of lines connecting them is built. Methods for constructing the shortest line connecting certain objects have been developed and substantiated. Optimal schemes for connecting objects are built using proven theorems. Methods of connecting objects placed at the vertices of a polygon are proposed. Cite as: H. M. Voznyak, O. H. Voznyak, “Construction of a minimal grid connecting three and four objects, arbitrarily placed on the plane,” Prykl. Probl. Mekh. Mat. , Issue 21, 91–107 (2023) (in Ukrainian), https://doi.org/10.15407/apmm2023.21.91-107