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ЖУРНАЛЫ // Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica // Архив

Bul. Acad. Ştiinţe Repub. Mold. Mat., 2022, номер 1, страницы 3–21 (Mi basm561)

Continuous extensions on Euclidean combinatorial configurations

Oksana Pichuginaa, Sergiy Yakovlevba

a National Aerospace University "Kharkiv Aviation Institute", 17 Chkalova Str., Kharkiv, Ukraine, 61070
b Lodz University of Technology, 116 Zeromskiego Str., Lodz, Poland, 90924

Аннотация: In this paper, we introduce a concept of the Euclidean combinatorial configuration as a mapping of a set of certain objects into a point of Euclidean space. We classify Euclidean combinatorial configurations sets based on their structure and constraints. The proposed typology forms the basis for studying continuous functional representations of combinatorial configurations. Special classes of functional extensions are introduced, their properties are described, and corresponding examples are given.

Ключевые слова и фразы: combinatorial configuration, continuous representation, extensions, combinatorial optimization.

MSC: 90C27, 90C57

Поступила в редакцию: 01.10.2018
Принята в печать: 14.11.2021

Язык публикации: английский

DOI: 10.56415/basm.y2022.i1.p3



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