Title | ||
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Reliability analysis of bijective connection networks in terms of the extra edge-connectivity. |
Abstract | ||
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Reliability evaluation of interconnection network is of significant importance to the design and maintenance of multiprocessor systems. The extra edge-connectivity (also called restricted edge-connectivity) is an important parameter for the reliability evaluation of interconnection network. In this paper, we find a method to study the h-extra edge-connectivity of an n-dimensional bijective connection network (in brief, BC network, also called hypercube-like network). As an application, we determine h-extra edge-connectivity of an n-dimensional BC network is a constant 2n-1 for 2n-1+2f3⩽h≤2n-1,n⩾4, where f=0 when n is even, and f=1 when n is odd. We also show that the lower bound of h is sharp. This paper also obtains the exact value of h-extra edge-connectivity of an n-dimensional BC network for 1⩽h⩽2⌊n2⌋+1,n⩾4. Besides, since the BC network includes several well-known network models, such as, hypercubes, twisted cubes, crossed cubes, Möbius cubes, locally twisted cubes, generalized twisted cubes and Mcubes, so the previous results on the h-extra edge-connectivity of these networks are our corollaries. |
Year | DOI | Venue |
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2014 | 10.1016/j.ins.2014.03.125 | Information Sciences |
Keywords | Field | DocType |
BC network,Reliability,Extra edge-connectivity,Hypercube-like network,Restricted edge-connectivity | Discrete mathematics,Combinatorics,Bijection,Upper and lower bounds,Multiprocessing,Interconnection,Mathematics,Hypercube,Network model,Cube | Journal |
Volume | ISSN | Citations |
279 | 0020-0255 | 6 |
PageRank | References | Authors |
0.42 | 19 | 4 |
Name | Order | Citations | PageRank |
---|---|---|---|
Mingzu Zhang | 1 | 6 | 1.10 |
Jixiang Meng | 2 | 353 | 55.62 |
Weihua Yang | 3 | 149 | 16.21 |
Yingzhi Tian | 4 | 20 | 9.28 |