Fault-Tolerant Pancyclicity of the Möbius Cubes
نویسندگان
چکیده
The Möbius cube MQn proposed by Cull et al. is an alternative to the popular hypercube network. Recently, MQn was shown to be pancyclic, i.e., cycles of any lengths at least four can be embedded into it. Due to the importance of the fault tolerance in the parallel processing area, in this paper, we study an injured MQn with mixed node and link faults. We show that it is (n − 2)-fault-tolerant pancyclic for n ≥ 3, that is, an injured n-dimensional MQn is still pancyclic with up to (n−2) faults. Furthermore, our result is optimal. key words: cycle embedding, Möbius cube, pancyclic, hamiltonian, fault tolerance
منابع مشابه
Node-pancyclicity and edge-pancyclicity of hypercube variants
Twisted cubes, crossed cubes, Möbius cubes, and locally twisted cubes are some of the widely studied hypercube variants. The 4-pancyclicity of twisted cubes, crossed cubes, Möbius cubes, locally twisted cubes and the 4-edgepancyclicity of crossed cubes are proven in [2, 1, 5, 10, 6] respectively. It should be noted that 4-edge-pancyclicity implies 4-node-pancyclicity which further implies 4-pan...
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Article history: Received 28 April 2010 Received in revised form 21 November 2010 Accepted 22 January 2011 Available online xxxx
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ورودعنوان ژورنال:
- IEICE Transactions
دوره 88-A شماره
صفحات -
تاریخ انتشار 2005