Abstract :
In this paper we prove that if m self-packing graphs are attached one each to any m points of a self-packing graph, then the resultant graph is also self-packing. From this we deduce that if every block of a graph G is either a K2 or a Cn with n ⩾ 5, then G is self-packing, provided G is not a star. We also show that if every block of a graph G is self-packing then G also is self-packing.
