Notes on the values of volume entropy of graphs
Notes on the values of volume entropy of graphs
复制标题
关于图的体积熵值的注释
DOI：
10.3934/dcds.2020221
复制
发表时间：
2020
期刊：
影响因子：
--
通讯作者：
Seonhee Lim
中科院分区：
文献类型：
--
作者：
Wooyeon Kim;Seonhee Lim
体积熵是度量图和黎曼流形的一个重要不变量。在本文中，我们计算了在度量图中添加一条边或添加一个顶点和它周围的边时体积熵的变化。在第二部分中，我们估计了体积熵的值，可以用来提出计算图的持久体积熵的算法。
Volume entropy is an important invariant of metric graphs as well as Riemannian manifolds. In this note, we calculate the change of volume entropy when an edge is added to a metric graph or when a vertex and edges around it are added. In the second part, we estimate the value of the volume entropy which can be used to suggest an algorithm for calculating the persistent volume entropy of graphs.