A note on the characterization of domination perfect graphs

A graph G is domination perfect if for each induced subgraph H of G, γ(H) = i(H), where γ and i are a graph's domination number and independent domination number, respectively. Zverovich and Zverovich [3] offered a finite forbidden induced characterization of domination perfect graphs. This characterization is not correct, but the ideas in [3] can be used to weaken the known sufficient conditions for a graph to be domination perfect and to obtain short proofs of some results regarding domination perfect graphs. © 1993 John Wiley & Sons, Inc.