Some combinatorial characteristics of closure operations

The aim of this paper investigates some combinatorial characteristics of minimal key and antikey of closure operations. We also give effective algorithms finding minimal keys and antikeys of closure operations. We estimate these algorithms. Some remarks on the closeness of closure operations class u...

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Bibliographic Details
Date:2019
Main Authors: Nguyen, Son Hoang, Vu, Thi Duc
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2019
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Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/470
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Journal Title:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics
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Summary:The aim of this paper investigates some combinatorial characteristics of minimal key and antikey of closure operations. We also give effective algorithms finding minimal keys and antikeys of closure operations. We estimate these algorithms. Some remarks on the closeness of closure operations class under the union and direct product operations are also studied in this paper.