On bounded automorphisms of locally finite transitive graphs
Peter Niemeyer · Journal of Graph Theory · 1996
The automorphism-group of an infinite graph acts in a natural way on the set of d-fibers (components of the set of rays with respect to the Hausdorff metric). For connected, locally finite, almost transitive graphs the kernel of this action is proved to be the group of bounded automorphisms. This completes a result of Möller, who characterized the bounded automorphisms of connected, locally finite, transitive graphs with infinitely many ends. © 1996 John Wiley & Sons, Inc.