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arXiv 2104.06986physics.soc-phcs.SI
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具有节点激活风险的复杂网络的最大传播

Maximizing spreading in complex networks with risk in node activation

Leyang Xue, Peng Zhang, An Zeng

摘要:

在复杂网络中,初始传播者对信息的广泛传播起着重要的作用。因此,已经提出了各种基于中心性的方法来识别最有影响力的传播者。然而,大多数现有的研究都忽略了这样一个事实,即在真实的社交网络中,说服有影响力的个人担任初始传播者的成本更高,也更难,从而导致最大化传播的高风险。在本文中,我们解决这个问题的基础上的假设,大的程度节点被激活的风险比小度节点。我们的目标是确定有效的初始传播者,以最大限度地传播时,同时考虑激活风险和初始传播者的爆发规模。在随机网络上,分析表明,最优初始传播者的度并不对应于网络中节点的最大度,而是由不同度节点的感染概率和激活风险的差异决定的。在这里,我们提出了一个风险意识的指标来识别真实网络上的有效传播者。数值模拟表明,风险感知度量优于现有的基准中心性,在最大限度地提高有效传播。

英文摘要:

It is widely acknowledged that the initial spreaders play an important role for the wide spreading of information in complex networks. Thus, a variety of centrality-based methods have been proposed to identify the most influential spreaders. However, most of the existing studies have overlooked the fact that in real social networks it is more costly and difficult to convince influential individuals to act as initial spreaders, resulting in a high risk in maximizing the spreading. In this paper, we address this problem on the basis of the assumption that large-degree nodes are activated with a higher risk than small-degree nodes. We aim to identify the effective initial spreaders to maximize spreading when considering both the activation risk and the outbreak size of initial spreaders. On random networks, the analytical analysis reveals that the degree of optimal initial spreaders does not correspond to the largest degree of nodes in the network but rather be determined by infection probability and difference of activation risk among nodes with different degree. Here, we propose a risk-aware metric to identify the effective spreaders on real networks. The numerical simulation shows that the risk-aware metric outperforms the existing benchmark centralities in maximizing the effective spreading.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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