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原文連結
論文資訊
- 類型：已發表論文
- 日期：2016-06-21
摘要
We adapt Forman's discretization of Ricci curvature to the case of undirected 網絡s, both weighted and unweighted, and investigate the measure in a variety of model and real-world 網絡s. We find that most nodes and edges in model and real 網絡s have a negative curvature. Furthermore, the distribution of Forman curvature of nodes and edges is narrow in random and small-world 網絡s, while the distribution is broad in 無標度 and real-world 網絡s. In most 網絡s, Forman curvature is found to display significant negative correlation with degree and centrality measures. However, Forman curvature is uncorrelated with clustering coefficient in most 網絡s. Importantly, we find that both model and real 網絡s are vulnerable to targeted deletion of nodes with highly negative Forman curvature. Our results suggest that For
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