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Diskretnaya Matematika, 1996, Volume 8, Issue 4, Pages 134–142
DOI: https://doi.org/10.4213/dm547
(Mi dm547)
 

On simple universal mosaic homogeneous structures

A. Dumov
Abstract: We introduce the notion of homogeneous mosaic structures as an extension of the notion of homogeneous structures. We consider the problem of modelling the functioning of one mosaic homogeneous structure with the help of another mosaic structure. The proof of universality (i.e., the possibility of modelling all corresponding structures with the help of a given structure) of some mosaic homogeneous structures with triangular, square, and hexagonal cells is given. In the first case we consider a structure with three states, and in the two remaining cases we consider two structures with two and three states.
Received: 09.10.1995
Bibliographic databases:
UDC: 519.713
Language: Russian
Citation: A. Dumov, “On simple universal mosaic homogeneous structures”, Diskr. Mat., 8:4 (1996), 134–142; Discrete Math. Appl., 6:6 (1996), 611–619
Citation in format AMSBIB
\Bibitem{Dum96}
\by A.~Dumov
\paper On simple universal mosaic homogeneous structures
\jour Diskr. Mat.
\yr 1996
\vol 8
\issue 4
\pages 134--142
\mathnet{http://mi.mathnet.ru/dm547}
\crossref{https://doi.org/10.4213/dm547}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1447327}
\zmath{https://zbmath.org/?q=an:1076.68541}
\transl
\jour Discrete Math. Appl.
\yr 1996
\vol 6
\issue 6
\pages 611--619
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    Дискретная математика
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