Operads of hypergraphs
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2013), pp. 61-73
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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.
@article{IVM_2013_4_a5,
author = {S. N. Tronin and R. N. Tuktamyshov},
title = {Operads of hypergraphs},
journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
pages = {61--73},
publisher = {mathdoc},
number = {4},
year = {2013},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/IVM_2013_4_a5/}
}
S. N. Tronin; R. N. Tuktamyshov. Operads of hypergraphs. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2013), pp. 61-73. http://geodesic.mathdoc.fr/item/IVM_2013_4_a5/