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Network connectivity entropy and its application on network connectivity reliability

机译：网络连接熵及其在网络连接可靠性中的应用

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摘要

The network structure entropy has served as one of the index measuring network heterogeneity, but it gives no considerations to the impact of isolated nodes on the network structure. In addition, the all-terminal reliability is zero and is unable to compare it between disconnected networks. Therefore, the concept of network connectivity entropy is suggested to remove the current bottleneck and helps facilitate new index in terms of network connectivity reliability. This study fully proves the rules as follows: when the edges of network are diminishing, the newly-established network connectivity reliability will remain unchanged or become weaker; conversely, when the edges of network are increasing, the network connectivity reliability will remain unchanged or become stronger. Thus, the proposed index of network connectivity reliability is proved reasonable. Furthermore, the impaired metro network of Nanjing city is exemplified to demonstrate the validity and practicability of network connectivity reliability. The result shows that this new approach is in good position to compute network connectivity reliability quickly and effectively, and also to compare it between different networks.
机译：网络结构熵已成为衡量网络异质性的指标之一，但它没有考虑隔离节点对网络结构的影响。此外，全终端可靠性为零，无法在断开的网络之间进行比较。因此，建议使用网络连接熵的概念来消除当前的瓶颈，并有助于促进网络连接可靠性方面的新指标。这项研究充分证明了以下规则：当网络边缘减小时，新建立的网络连接可靠性将保持不变或变弱;相反，当网络边缘增加时，网络连接可靠性将保持不变或变得更强。因此，证明了所提出的网络连接可靠性指标是合理的。此外，以南京市受损的城域网为例，证明了网络连通性可靠性的有效性和实用性。结果表明，这种新方法非常适合快速有效地计算网络连接可靠性，并可以在不同网络之间进行比较。

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