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Prikladnaya Diskretnaya Matematika, 2015, Number 1(27), Pages 96–104 (Mi pdm497)  
Applied Graph Theory

On the representation of graphs in the form of a special type of binary algebra

M. N. Nazarov

National Research University of Electronic Technology, Moscow, Russia
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Abstract: An alternative way to define graphs as binary algebras on a set of vertices is considered. For the resulting algebras, we describe congruences, ideals and subalgebras, and obtain criterion for such a graph algebra to be a semigroup. In addition, we consider a practical application of graph algebras for data compression.
Keywords: algebraic graph theory, graph algebra, congruence and ideal on graph, compact storage of graphs.
Bibliographic databases:
Document Type: Article
UDC: 519.171.2+519.175
Language: Russian
Citation: M. N. Nazarov, “On the representation of graphs in the form of a special type of binary algebra”, Prikl. Diskr. Mat., 2015, no. 1(27), 96–104
Citation in format AMSBIB
\Bibitem{Naz15}
\by M.~N.~Nazarov
\paper On the representation of graphs in the form of a~special type of binary algebra
\jour Prikl. Diskr. Mat.
\yr 2015
\issue 1(27)
\pages 96--104
\mathnet{http://mi.mathnet.ru/pdm497}
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  • https://www.mathnet.ru/eng/pdm/y2015/i1/p96
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