On the reconstruction conjecture for separable graphs
Vidya Krishnamoorthy, K. R. Parthasarathy · Journal of the Australian Mathematical Society Series A Pure Mathematics and Statistics · 1981
Abstract Some sufficient conditions for the reconstructability of separable graphs are given proceeding along the lines suggested by Bondy, Greenwell and Hemminger. It is shown that the structure and automorphism group of a central block plays an important role in the reconstruction.