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→Attributes 属性
There are several attributes of Hubs in a Scale-Free Network
There are several attributes of Hubs in a Scale-Free Network
无标度网络中的枢纽有诸多属性：
=== Shortening the path lengths in a network 缩短网络路径长度===
=== Shortening the path lengths in a network 缩短网络中的路径距离===
The more observable hubs are in a network, the more they shrink distances between nodes. In a scale-free network, hubs serve as bridges between the small degree nodes.<ref>Barabási, Albert-László. ''Network Science: The Scale-Free Property''., p. 23.[http://barabasi.com/networksciencebook/content/book_chapter_4.pdf]</ref> Since the distance of two random nodes in a scale-free network is small, we refer to scale-free networks as "small" or "ultra small". While the difference between path distance in a very small network may not be noticeable, the difference in the path distance between a large random network and a scale-free network is remarkable.
The more observable hubs are in a network, the more they shrink distances between nodes. In a scale-free network, hubs serve as bridges between the small degree nodes.<ref>Barabási, Albert-László. ''Network Science: The Scale-Free Property''., p. 23.[http://barabasi.com/networksciencebook/content/book_chapter_4.pdf]</ref> Since the distance of two random nodes in a scale-free network is small, we refer to scale-free networks as "small" or "ultra small". While the difference between path distance in a very small network may not be noticeable, the difference in the path distance between a large random network and a scale-free network is remarkable.
The more observable hubs are in a network, the more they shrink distances between nodes. In a scale-free network, hubs serve as bridges between the small degree nodes. Since the distance of two random nodes in a scale-free network is small, we refer to scale-free networks as "small" or "ultra small". While the difference between path distance in a very small network may not be noticeable, the difference in the path distance between a large random network and a scale-free network is remarkable.
The more observable hubs are in a network, the more they shrink distances between nodes. In a scale-free network, hubs serve as bridges between the small degree nodes. Since the distance of two random nodes in a scale-free network is small, we refer to scale-free networks as "small" or "ultra small". While the difference between path distance in a very small network may not be noticeable, the difference in the path distance between a large random network and a scale-free network is remarkable.
网络中可观察到的枢纽越多，节点之间的距离就越短。在无标度网络中，枢纽是连接度小的节点的桥梁。<ref>Barabási, Albert-László. ''Network Science: The Scale-Free Property''., p. 23.[http://barabasi.com/networksciencebook/content/book_chapter_4.pdf]</ref>由于无标度网络中随机节点间的距离很小，我们称无标度网络为“小”或“超小”网络。虽然在一个非常小的网络中，路径距离的差异可能并不明显，但是在大型随机网络和无标度网络中，路径距离的差异是显著的。
<math>\ell\sim\frac{\ln N}{\ln \ln N}.</math>
<math>\ell\sim\frac{\ln N}{\ln \ln N}.</math>
这些枢纽节点还负责有效地在网络上传播材料。在疾病传播或信息流的分析中，枢纽被称为超级传播者。超级传播者可能会产生积极的影响，如有效的信息流动，但在 H1N1或艾滋病等流行病传播的情况下也会产生毁灭性的影响。数学模型，如 H1H1流行病预测模型，基于人类流动网络，传染性，或人与人之间的社会互动，可以让我们预测疾病的传播。在根除疾病方面，枢纽也很重要。在无标度网络中，枢纽是最有可能被感染的，因为他们有大量的连接。在枢纽被感染后，它将疾病广播到它所链接的节点。因此，选择性免疫那些枢纽节点可能是消灭传播性疾病的成本效益策略。
这些枢纽节点还负责有效地在网络上传播材料。在疾病传播或信息流的分析中，枢纽被称为超级传播者。超级传播者可能会产生积极的影响，如有效的信息流动，但在 H1N1或艾滋病等流行病传播的情况下也会产生毁灭性的影响。数学模型，如 H1H1流行病预测模型，基于人类流动网络，传染性，或人与人之间的社会互动，可以让我们预测疾病的传播。在根除疾病方面，枢纽也很重要。在无标度网络中，枢纽是最有可能被感染的，因为他们有大量的连接。在枢纽被感染后，它将疾病广播到它所链接的节点。因此，选择性免疫那些枢纽节点可能是消灭传播性疾病的成本效益策略。
== References ==
== References ==