Geodesic
Operads of hypergraphs
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2013), pp. 61-73.

Voir la notice de l'article provenant de la source Math-Net.Ru

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/}
}
TY  - JOUR
AU  - S. N. Tronin
AU  - R. N. Tuktamyshov
TI  - Operads of hypergraphs
JO  - Izvestiâ vysših učebnyh zavedenij. Matematika
PY  - 2013
SP  - 61
EP  - 73
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IVM_2013_4_a5/
LA  - ru
ID  - IVM_2013_4_a5
ER  - 
%0 Journal Article
%A S. N. Tronin
%A R. N. Tuktamyshov
%T Operads of hypergraphs
%J Izvestiâ vysših učebnyh zavedenij. Matematika
%D 2013
%P 61-73
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IVM_2013_4_a5/
%G ru
%F 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/

[1] Tronin S. N., “Operady konechnykh grafov i gipergrafov”, Aktualnye problemy matematiki i mekhaniki, Tr. matem. tsentra im. N. I. Lobachevskogo, 5, Izd-vo “Unipress”, Kazan, 2000, 207–208

[2] Tronin S. N., Semenova A. V., “Operady konechnykh pomechennykh grafov”, Izv. vuzov. Matem., 2004, no. 4, 50–60 | MR | Zbl

[3] Tronin S. N., “Abstraktnye klony i operady”, Sib. matem. zhurn., 43:4 (2002), 924–936 | MR | Zbl

[4] Tronin S. N., “Operady i mnogoobraziya algebr, opredelyaemye polilineinymi tozhdestvami”, Sib. matem. zhurn., 47:3 (2006), 670–694 | MR | Zbl

[5] Tronin S. N., “Multikategorii i mnogoobraziya mnogosortnykh algebr”, Sib. matem. zhurn., 49:5 (2008), 1184–1201 | MR

[6] Semenova A. V., “Algebry nad operadoi konechnykh pomechennykh grafov”, Izv. vuzov. Matem., 2006, no. 6, 65–73 | MR | Zbl

[7] Tronin S. N., Tuktamyshov R. N., “O nekotorykh operadakh gipergrafov”, Algebra i matem. logika, Materialy mezhdunarodn. konf., posvyasch. 100-letiyu so dnya rozhd. prof. V. V. Morozova, i molodezhn. shkoly-konf. “Sovrem. probl. algebry i matem. logiki” (Kazan, 25–30 sentyabrya 2011 g.), Izd-vo KFU, Kazan, 2011, 173–175

[8] Tuktamyshov R. N., “Ob algebrakh nad operadami gipergrafov”, Algebra i matem. logika, Materialy mezhdunarodn. konf., posvyasch. 100-letiyu so dnya rozhd. prof. V. V. Morozova, i molodezhn. shkoly-konf. "Sovrem. probl. algebry i matem. logiki (Kazan, 25–30 sentyabrya 2011 g.), Izd-vo KFU, Kazan, 2011, 175–176

[9] Tuktamyshov R. N., “Ob odnoi operade gipergrafov”, Materialy Desyatoi molodezhn. nauchn. shkoly-konf. “Lobachevskie chteniya-2011” (Kazan, 31 oktyabrya – 4 noyabrya 2011 g.), Tr. matem. tsentra im. N. I. Lobachevskogo, 44, Izd-vo Kazansk. matem. o-va, Kazan, 2011, 278–288

[10] Emelichev V. A., Melnikov O. V., Sarvanov V. I., Tyshkevich R. I., Lektsii po teorii grafov, Nauka, GIFML, M., 1990 | MR | Zbl