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原文連結
論文資訊
- 類型：已發表論文
- 日期：2020
摘要
We introduce new definitions of sectional, Ricci and scalar curvature for 網絡s and their higher dimensional counterparts, derived from two classical notions of curvature for curves in general metric spaces, namely, the Menger curvature and the Haantjes curvature. These curvatures are applicable to unweighted or weighted and undirected or directed 網絡s, and are more intuitive and easier to compute than other 網絡 curvatures. In particular, the proposed curvatures based on the interpretation of Haantjes definition as geodesic curvature allow us to give a 網絡 analogue of the classical local Gauss-Bonnet theorem. Furthermore, we propose even simpler and more intuitive proxies for the Haantjes curvature that allow for even faster and easier computations in large-scale 網絡s. In addition, we also inves
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