## A characterization of total graphs

- L. Lesniak-Foster
- Proc . Ainer . Mrrth . Soc

- Published 1987 in Journal of Graph Theory
DOI:10.1002/jgt.3190110212

It is shown that given any vertex-deleted total graph, every reconstruction into a total graph by the addition of a vertex yields the original total graph. The proof indicates how the reconstruction can be done.

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