On <i>k</i>-geodetic graphs and groups
On <i>k</i>-geodetic graphs and groups
We call a graph k-geodetic, for some [Formula: see text], if it is connected and between any two vertices there are at most k geodesics. It is shown that any hyperbolic group with a k-geodetic Cayley graph is virtually-free. Furthermore, in such a group the centralizer of any infinite order …