  In this talk we review the classification of the irreducible representations
of the algebra of the N-extended one-dimensional supersymmetric quantum
mechanics presented in hep-th/0511274. We answer some issues raised in
hep-th/0611060, proving the agreement of the results here contained with those
in hep-th/0511274. We further show that the fusion algebra of the 1D N-extended
supersymmetric vacua introduced in hep-th/0511274 admits a graphical
presentation. The N=2 graphs are here explicitly presented for the first time.
