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Proceedings of the Yerevan State University, series Physical and Mathematical Sciences, 2012, Issue 1, Pages 38–42 (Mi uzeru123)  
Informatics

On the independence numbers of the powers of $C_5$ graph

S. H. Badalyan, A. Zh. Mnatsakanyan

Chair of Discrete Mathematics and Theoretical Computer Science YSU, Armenia
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Abstract: In this paper independence numbers of the powers of $C_5$ graph is investigated. Independence number of the $3$rd degree of $C_5$ is calculated and a method is given that can help calculate independence numbers of higher degrees of $C_5$. Independence number of the $3$rd degree of $C_5$ is also calculated by the given method.
Keywords: independence number, powers of odd cycles, Shannon capacity.
Received: 08.11.2011
Accepted: 24.12.2011
Document Type: Article
Language: English
Citation: S. H. Badalyan, A. Zh. Mnatsakanyan, “On the independence numbers of the powers of $C_5$ graph”, Proceedings of the YSU, Physical and Mathematical Sciences, 2012, no. 1, 38–42
Citation in format AMSBIB
\Bibitem{BadMna12}
\by S.~H.~Badalyan, A.~Zh.~Mnatsakanyan
\paper On the independence numbers of the powers of $C_5$ graph
\jour Proceedings of the YSU, Physical and Mathematical Sciences
\yr 2012
\issue 1
\pages 38--42
\mathnet{http://mi.mathnet.ru/uzeru123}
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