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The Social Significance of Network Structural Optimizations

机译：网络结构优化的社会意义

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Network structure plays a fundamental role in dynamical processes including spreading phenomena, synchronization, percolation, etc. It is critical to optimize the network topological structure as it is highly related to engineering problems and has substantial societal impacts. Thanks to the development of network science, comprehensive mathematical tools, and artificial intelligence in the last decade, problems related to structural optimization have attracted much research, including minimize the average path length[1], and transforming networks into balanced or small-world ones with the lowest cost [2, 3]. What about the network diameter, which often describes the transfer efficiency of a team or a crowd [4] In 2017, we studied the relationship between the network diameter and the number of edges added to the network, finding that there exists a critical point beyond which the average path length decreases linearly and the network diameter changes abruptly from three to two [5]. With the diameter reaches to the critical point, the efficiency of information sharing could be substantially enhanced. As a result, we attributed the network diameter at the critical point as the Critical Diameter.
机译：网络结构在动态过程中起着基本作用，包括扩散现象，同步，渗透等。优化网络拓扑结构至关重要，因为它与工程问题高度相关并具有大量的社会影响。由于网络科学的开发，综合数学工具和过去十年人工智能，与结构优化有关的问题吸引了许多研究，包括最小化平均路径长度[1]，并将网络转换为平衡或小世界的路径最低的成本[2,3]。网络直径呢，这通常描述2017年团队或人群[4]的转移效率，我们研究了网络直径与添加到网络的边的数量之间的关系，发现存在临界点平均路径长度线性降低，网络直径从三到两个[5]突然变化。随着直径达到临界点，可以大大提高信息共享的效率。结果，我们将网络直径归因于临界点的临界直径。

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