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 C n ( a , b , c ) with 0 < a < b < c < n 3 : Such a circulant is clique divergent if and only if it is not clique-Helly. The main difficulty found here, was the case C n ( 1 , 2 , 4 ) which is clique divergent, but no previously known technique could be used to prove it.