标题： 边连通性和非负林-卢-姚曲率 显示英文标题

标题： Edge-connectivity and non-negative Lin-Lu-Yau curvature

摘要： 根据定义，连通图的边连通性不大于其最小度数。 在本文中，我们证明了具有非负林-卢-姚曲率的有限连通图的边连通性等于其最小度数。 这回答了陈、刘和杨提出的一个开放问题。 需要注意的是，如果我们不要求图是有限的，那么我们的结论将不成立。 我们实际上对所有具有非负林-卢-姚曲率且边连通性小于其最小度数的连通图进行了分类。 特别是，它们都是无限的。 显示英文摘要

摘要： By definition, the edge-connectivity of a connected graph is no larger than its minimum degree. In this paper, we prove that the edge connectivity of a finite connected graph with non-negative Lin-Lu-Yau curvature is equal to its minimum degree. This answers an open question of Chen, Liu and You. Notice that our conclusion would be false if we did not require the graph to be finite. We actually classify all connected graphs with non-negative Lin-Lu-Yau curvature and edge-connectivity smaller than their minimum degree. In particular, they are all infinite.