On the clique behavior of circulants with three small jumps

In the study reported in this extended abstract we characterize the clique behavior of circulant graphs of the form Cn(a,b,c) with : Such a circulant is clique divergent if and only if it is not clique-Helly. The main difficulty found here, was the case Cn(1,2,4) which is clique divergent, but no previously known technique could be used to prove it.