Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
Continuous Extensions On Euclidean Combinatorial Configurations
Authors: O. Pichugina, S. Yakovlev
Keywords: Combinatorial configuration, Continuous representation, Extensions, Combinatorial Optimization
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Keywords: Combinatorial configuration, Continuous representation, Extensions, Combinatorial Optimization
Abstract
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.Oksana Pichugina
National Aerospace University
”Kharkiv Aviation Institute”
17 Chkalova Str., Kharkiv, Ukraine, 61070
Tel.: +38(099)959-89-65
Fax: +38(057)315-11-31
E-mail:
Sergiy Yakovlev
National Aerospace University
”Kharkiv Aviation Institute”
17 Chkalova Str., Kharkiv, Ukraine, 61070
Lodz University of Technology
116 Zeromskiego Str., Lodz, Poland, 90924
Tel.: +38(067)576-57-65
Fax: +38(057)315-11-31
E-mail:
National Aerospace University
”Kharkiv Aviation Institute”
17 Chkalova Str., Kharkiv, Ukraine, 61070
Tel.: +38(099)959-89-65
Fax: +38(057)315-11-31
E-mail:
Sergiy Yakovlev
National Aerospace University
”Kharkiv Aviation Institute”
17 Chkalova Str., Kharkiv, Ukraine, 61070
Lodz University of Technology
116 Zeromskiego Str., Lodz, Poland, 90924
Tel.: +38(067)576-57-65
Fax: +38(057)315-11-31
E-mail:
DOI
https://doi.org/10.56415/basm.y2022.i1.p3Fulltext
– 0.20 Mb
Contents
- Continuous Extensions On Euclidean Combinatorial Configurations
- Subordination and superordination for certain analytic functions associated with Ruscheweyh derivative and a new generalised multiplier transformation
- Different Types of Compact Global Attractors for Cocycles with a Noncompact Phase Space of Driving System and the Relationship Between Them
- A New Method for Developing Signature Algorithms on Finite Non-commutative Algebras
- Properties of coverings in lattices of ring topologies
- Equilibria in Pure Strategies for a Two-Player Zero-Sum Average Stochastic Positional Game
- Morita Contexts, Preradicals and Closure Operators in Modules
- A self--similar solution and the tanh--function method for the kinetic Carleman system
