  Croke and Kleiner constructed two homeomorphic locally CAT(0) complexes whose
universal covers have visual boundaries that are not homeomorphic. We construct
two homeomorphic locally CAT(0) complexes so that the visual boundary of one
universal cover contains a nonplanar graph, while the visual boundary of the
other does not. In contrast, we prove for any two locally CAT(0) metrics on the
Croke-Kleiner complex, if a finite graph embeds in the visual boundary of one
universal cover, then the graph embeds in the visual boundary of the other.
