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• W2883623214 abstract "Edge-connectivity is a classic measure for reliability of a network in the presence of edge failures. $k$-restricted edge-connectivity is one of the refined indicators for fault tolerance of large networks. Matching preclusion and conditional matching preclusion are two important measures for the robustness of networks in edge fault scenario. In this paper, we show that the DCell network $D_{k,n}$ is super-$lambda$ for $kgeq2$ and $ngeq2$, super-$lambda_2$ for $kgeq3$ and $ngeq2$, or $k=2$ and $n=2$, and super-$lambda_3$ for $kgeq4$ and $ngeq3$. Moreover, as an application of $k$-restricted edge-connectivity, we study the matching preclusion number and conditional matching preclusion number, and characterize the corresponding optimal solutions of $D_{k,n}$. In particular, we have shown that $D_{1,n}$ is isomorphic to the $(n,k)$-star graph $S_{n+1,2}$ for $ngeq2$." @default.
• W2883623214 created "2018-08-03" @default.
• W2883623214 creator A5033539222 @default.
• W2883623214 creator A5034560014 @default.
• W2883623214 date "2018-07-13" @default.
• W2883623214 modified "2023-10-07" @default.
• W2883623214 title "Super edge-connectivity and matching preclusion of data center networks" @default.
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• W2883623214 doi "https://doi.org/10.23638/dmtcs-21-4-2" @default.
• W2883623214 hasPublicationYear "2018" @default.
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