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Cycle and Path Embedding on 5-ary N-cubes
Published online by Cambridge University Press: 28 February 2008
Abstract
We study two topological properties of the 5-ary n-cube $Q_{n}^{5}$. Given two arbitrary distinct nodes x and y in $Q_{n}^{5}$, we prove that there exists an x-y path of every length ranging from 2n to 5n - 1, where n ≥ 2. Based on this result, we prove that $Q_{n}^{5}$ is 5-edge-pancyclic by showing that every edge in $Q_{n}^{5}$ lies on a cycle of every length ranging from 5 to 5n.
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- Type
- Research Article
- Information
- RAIRO - Theoretical Informatics and Applications , Volume 43 , Issue 1 , January 2009 , pp. 133 - 144
- Copyright
- © EDP Sciences, 2008
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