Clique dynamics of locally cyclic graphs with $\delta \ge 6$

Markus Baumeister, Anna M. Limbach

We prove that the clique graph operator $k$ is divergent on a locally cyclic graph $G$ (i.e. $N_G(v)$ is a circle) with minimum degree $\delta (G)=6$ if and only if $G$ is $6$-regular. T…