具有常数正Ricci曲率的图
Graphs with Constant Positive Ricci Curvature
DOI: 10.12677/aam.2024.134118, PDF,    科研立项经费支持
作者: 黄绮琪, 何伟骅*：广东工业大学数学与统计学院，广东 广州；张朝钦：华南师范大学附属中学，广东 广州
关键词: Ricci曲率；最小度；匹配；Ricci Curvature； Minimum Degree； Matching
摘要: 本文在Lin-Lu-Yau给出的图的Ricci曲率的定义下，刻画了一类具有常数正Ricci曲率的图。更进一步地，本文找到了图上每条边的Ricci曲率都不小于1的充分必要条件，并刻画了图上每条边的Ricci曲率都等于1的图。
Abstract: In this paper, we study the Ricci curvature given by Lin-Lu-Yau and characterize several graphs with constant positive Ricci curvature. We find the necessary and sufficient condition when every edge of the graph has Ricci curvature no less than one and characterize the graphs in which the Ricci curvature of every edge is equal to one.
文章引用：黄绮琪, 何伟骅, 张朝钦. 具有常数正Ricci曲率的图[J]. 应用数学进展, 2024, 13(4): 1286-1291. https://doi.org/10.12677/aam.2024.134118

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