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Operations on k-homogeneous extreme hypergraphs

Beretskiy Igor Sergeevich  (Moscow Aviation Institute (National Research University))

Irbitskiy Ilya Sergeevich  (Moscow Aviation Institute (National Research University))

Egorova Evgeniya Kirillovna  (Candidate of physical and mathematical Sciences, Associate Professor, Moscow Aviation Institute (National Research University))

Mokryakov Aleksey Viktorovich  (Candidate of physical and mathematical Sciences, Associate Professor, Moscow Aviation Institute (National Research University); Associate Professor, Russian State University named after A.N. Kosygin)

This paper considers perfect and extreme hypergraphs that have special properties. One of them is an additional form of description, the database. The base is a shorter and more understandable form of writing an extreme hypergraph. Since only one database uniquely corresponds to a single hypergraph, you can work with them without any danger of misinterpreting the data. When interacting with hypergraphs, you often need to perform some arithmetic operations with them. In this paper, we consider how various operations affect such properties of hypergraphs as perfection and extremality.

Keywords:hypergraph, logic algebra, complex, extreme hypergraph, k-homogeneous hypergraph.

 

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Citation link:
Beretskiy I. S., Irbitskiy I. S., Egorova E. K., Mokryakov A. V. Operations on k-homogeneous extreme hypergraphs // Современная наука: актуальные проблемы теории и практики. Серия: Естественные и Технические Науки. -2020. -№09. -С. 49-54 DOI 10.37882/2223-2966.2020.09.05
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