有向超图的Ollivier Ricci曲率
Ollivier Ricci Curvature of Directed Hypergraphs
摘要：
我们开发了一个定义的Ricci曲率的有向超图，并探讨该定义的后果。该定义推广了Ollivier的图的定义。它涉及到一个精心设计的顶点集之间的最佳运输问题。
英文摘要：
We develop a definition of Ricci curvature on directed hypergraphs and explore the consequences of that definition. The definition generalizes Ollivier's definition for graphs. It involves a carefully designed optimal transport problem between sets of vertices.
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。
