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Algebra and Discrete Mathematics, 2019, Volume 28, Issue 1, Pages 144–156
(Mi adm720)
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RESEARCH ARTICLE
Some combinatorial characteristics of closure operations
Nguyen Hoang Sona, Vu Duc Thib a Department of Mathematics, College of Sciences, Hue University, Vietnam
b Thang Long University, Hanoi, Vietnam
Abstract:
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.
Keywords:
closure operation, closure system, closed set, minimal key, antikey.
Received: 21.05.2017 Revised: 15.07.2017
Citation:
Nguyen Hoang Son, Vu Duc Thi, “Some combinatorial characteristics of closure operations”, Algebra Discrete Math., 28:1 (2019), 144–156
Linking options:
https://www.mathnet.ru/eng/adm720 https://www.mathnet.ru/eng/adm/v28/i1/p144
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Statistics & downloads: |
Abstract page: | 60 | Full-text PDF : | 42 | References: | 11 |
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