Побудова мінімальної сітки сполучення трьох та чотирьох об’єктів, довільно розміщених на площині
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...
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| Date: | 2023 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Ukrainian |
| Published: |
Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of NAS of Ukraine
2023
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| Subjects: | |
| Online Access: | http://journals.iapmm.lviv.ua/ojs/index.php/APMM/article/view/apmm2023.21.91-107 |
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| Journal Title: | Prykladni Problemy Mekhaniky i Matematyky |
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Prykladni Problemy Mekhaniky i Matematyky| Summary: | 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 |
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