A. Boussairi et al., HYPOMORPHY AND LOCAL CONVERSION BETWEEN G RAPHS, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 317(2), 1993, pp. 125-128
Let P and P' be two posets with same comparability graph, we know [4]
that is indecomposable under lexicographical sum, then P is equal to P
' or to the converse of P'. We generalize this result to any graph.