Present topological study focuses on the formation mechanism of clusters of vacancies in graphenic layers. An original effect that explains both accumulation and self-healing of vacancies represents the original outcome of our investigation whose results, based on the long-range topological properties of the honeycomb lattices, are applicable to defective graphene sheets and general honeycomb lattices when other elements other than carbon are present. Some speculations about the role of long-range bondonic states in such a kind of lattices contribute to the understanding of electronic and transport properties in graphenic nanomaterials