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Izv. Vyssh. Uchebn. Zaved. Mat., 2013, Number 4, Pages 61–73 (Mi ivm8792)  

Operads of hypergraphs

S. N. Tronin, R. N. Tuktamyshov

Chair of Algebra and Mathematical Logic, Kazan (Volga Region) Federal University, Kazan, Russia

Abstract: We construct two countable collections of operads of many-dimensional cubic matrices. In every operad from one of these collections we select a suboperad such that its elements can be interpreted as some hypergraphs. We prove that all these suboperads are $Epi$-operads.

Keywords: operad, verbal category, hypergraph.

Full text: PDF file (235 kB)
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English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2013, 57:4, 52–62

UDC: 512.565
Received: 04.03.2012

Citation: S. N. Tronin, R. N. Tuktamyshov, “Operads of hypergraphs”, Izv. Vyssh. Uchebn. Zaved. Mat., 2013, no. 4, 61–73; Russian Math. (Iz. VUZ), 57:4 (2013), 52–62

Citation in format AMSBIB
\Bibitem{TroTuk13}
\by S.~N.~Tronin, R.~N.~Tuktamyshov
\paper Operads of hypergraphs
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2013
\issue 4
\pages 61--73
\mathnet{http://mi.mathnet.ru/ivm8792}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2013
\vol 57
\issue 4
\pages 52--62
\crossref{https://doi.org/10.3103/S1066369X13040063}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84876273580}


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