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Izv. Saratov Univ. (N.S.), Ser. Math. Mech. Inform., 2014, Volume 14, Issue 2, Pages 233–241 (Mi isu505)  

Computer science

Minimal vertex $1$-extensions of palm trees

D. D. Komarov

Saratov State University, 83, Astrakhanskaya str., 410012, Saratov, Russia

Abstract: Minimal vertex $1$-extension of graphs can be regarded as a model of optimal $1$-node fault tolerant implementation of a system. This paper is about of the $1$-vertex extensions of a graphs from a special class named palm trees.This article presents a solution to the problem of finding the minimal vertex $1$-extension of palm trees with two leafs.

Key words: graphs, minimal extensions of graphs, fault tolerance, palm trees, star-like trees.

Full text: PDF file (278 kB)
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UDC: 519.17

Citation: D. D. Komarov, “Minimal vertex $1$-extensions of palm trees”, Izv. Saratov Univ. (N.S.), Ser. Math. Mech. Inform., 14:2 (2014), 233–241

Citation in format AMSBIB
\Bibitem{Kom14}
\by D.~D.~Komarov
\paper Minimal vertex $1$-extensions of palm trees
\jour Izv. Saratov Univ. (N.S.), Ser. Math. Mech. Inform.
\yr 2014
\vol 14
\issue 2
\pages 233--241
\mathnet{http://mi.mathnet.ru/isu505}


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  • Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика
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