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Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2010, Volume 10, Issue 1, Pages 83–88
DOI: https://doi.org/10.18500/1816-9791-2010-10-1-83-88 (Mi isu14) 		 
Computer science

On directed acyclic exact extensions

M. B. Abrosimov, A. A. Dolgov

Saratov State University, Chair of Theoretical Basis of Computer Security and Cryptography
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DOI: https://doi.org/10.18500/1816-9791-2010-10-1-83-88
Abstract: Exact extensions of undirected graphs are well studied, but exact extensions of directed graphs are much less known.We prove that only directed acyclic graph or strongly connected graph can be an exact extension. Furthermore, only transitive tournament can be directed acyclic exact extension.
Key words: directed acyclic graph, transitive tournament, exact extension.
Document Type: Article
UDC: 519.17
Language: Russian
Citation: M. B. Abrosimov, A. A. Dolgov, “On directed acyclic exact extensions”, Izv. Saratov Univ. Math. Mech. Inform., 10:1 (2010), 83–88
Citation in format AMSBIB
\Bibitem{AbrDol10}
\by M.~B.~Abrosimov, A.~A.~Dolgov
\paper On directed acyclic exact extensions
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2010
\vol 10
\issue 1
\pages 83--88
\mathnet{http://mi.mathnet.ru/isu14}
\crossref{https://doi.org/10.18500/1816-9791-2010-10-1-83-88}
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