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- W2027509617 abstract "For a graph G and a non-negative integer g, the g-extra edge connectivity of G is the minimum cardinality of a set of edges in G, if it exists, whose deletion disconnects G and each remaining component will have at least g vertices. The extra edge-connectivity is an important parameters for the reliability evaluation of interconnection networks. In this paper, we explore g-extra-edge-connectivity (λg(FQn)) of the folded hypercube FQn for g⩽n (denote g by ∑i=0s2ti, where t0=[log2g] and ti=log2g-∑r=0i-12tr). We show that λg(FQn)=g(n+1)-∑i=0sti2ti+∑i=0s2·i·2ti for n⩾6. This result generalizes the previous results by Zhu et al. (2007) for λ3(FQn), and by Hsieh and Tsai (in press) for λ4(FQn), and so on." @default.
- W2027509617 created "2016-06-24" @default.
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- W2027509617 date "2014-07-01" @default.
- W2027509617 modified "2023-10-03" @default.
- W2027509617 title "On reliability of the folded hypercubes in terms of the extra edge-connectivity" @default.
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- W2027509617 doi "https://doi.org/10.1016/j.ins.2014.02.081" @default.
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