The in-ation GI of a graph G is the line graph of the subdivision of G. If G is a complete graph the equality ir(GI) = (GI) was proved by Favaron in 1998. We conjectured that the equality holds when G is any graph of radius 1. But it turned out that it is not true. Moreover, we proved that for the class of radius 1 graphs there does not exist a better upper bound for the relation (GI)=ir(GI) th...