RAIRO-Theor. Inf. Appl.
Volume 51, Number 2, April-June 2017
|Page(s)||71 - 89|
|Published online||30 October 2017|
The connectivity and nature diagnosability of expanded k-ary n-cubes∗
1 School of Electrical Engineering and Computer Science, The University of Newcastle NSW 2308, Australia.
2 School of Mathematics and Information Science, Henan Normal University, Xinxiang, Henan 453007, PR China.
Received: 1 February 2017
Accepted: 6 September 2017
Connectivity and Diagnosability play an important role in measuring the fault tolerance of interconnection networks. As a topology structure of interconnection networks, the expanded k-ary n-cube XQkn has many good properties. In this paper, we prove that (1) the connectivity of XQkn is 4n; (2) the nature connectivity of XQkn is 8n − 4; (3) the nature diagnosability of XQkn under the PMC model and MM∗ model is 8n − 3 for n ≥ 2.
Mathematics Subject Classification: 05C25, 05C90
Key words: Interconnection networks / Combinatorics; Connectivity / Diagnosability / Expandedk-aryn-cubes
© EDP Sciences 2017
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