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- W2517944396 abstract "We present a new, novel approach to obtaining a network's connectivity. More specifically, we show that there exists a relationship between a network's graph isoperimetric properties and its conditional connectivity. A network's connectivity is the minimum number of nodes, whose removal will cause the network disconnected. It is a basic and important measure for the network's reliability, hence its overall robustness. Several conditional connectivities have been proposed in the past for the purpose of accurately reflecting various realistic network situations, with extra connectivity being one such conditional connectivity. In this paper, we will use isoperimetric properties of the hypercube network to obtain its extra connectivity. The result of the paper for the first time establishes a relationship between the age-old isoperimetric problem and network connectivity." @default.
- W2517944396 created "2016-09-16" @default.
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- W2517944396 date "2016-07-13" @default.
- W2517944396 modified "2023-09-25" @default.
- W2517944396 title "From Graph Isoperimetric Inequality to Network Connectivity -- A New Approach" @default.
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- W2517944396 doi "https://doi.org/10.48550/arxiv.1607.07761" @default.
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