ELASTIC GRAPHS
ELASTIC GRAPHS
复制标题
DOI：
10.1017/fms.2019.4
复制
发表时间：
2015-07
期刊：
影响因子：
--
通讯作者：
D. Thurston
中科院分区：
文献类型：
--
作者：
D. Thurston
弹性图是具有与每条边相关联的弹性的图。它可以被看作是由理想的橡皮筋制成的网络。如果橡皮筋在目标空间上拉伸，则存在弹性能量。我们的特征时，同伦类的地图从一个弹性图到另一个是松散的，也就是说，减少这种弹性能量的所有可能的目标。这符合图之间映射的更一般的能量框架。
An elastic graph is a graph with an elasticity associated to each edge. It may be viewed as a network made out of ideal rubber bands. If the rubber bands are stretched on a target space there is an elastic energy. We characterize when a homotopy class of maps from one elastic graph to another is loosening, that is, decreases this elastic energy for all possible targets. This fits into a more general framework of energies for maps between graphs.