更改

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。

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，枢纽是连接小度节点的桥梁。<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，路径长度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，路径长度的差异是显著的。

 

 

Average path length in scale-free networks:

Average path length in scale-free networks:

<math>\ell\sim\frac{\ln N}{\ln \ln N}.</math>

<math>\ell\sim\frac{\ln N}{\ln \ln N}.</math>

=== '''<font color="#ff8000">枢纽节点的老化 Aging of hubs (nodes)</font>''' ===

=== '''<font color="#ff8000">枢纽节点的老化 Aging of hubs (nodes)</font>''' ===