  This note gives a one-to-one correspondence between the equivalence classes
of a certain type of 2-dimensional Calabi-Yau categories, and certain type of
quivers, This is an analogue of the result in Stability structures, motivic
Donaldson-Thomas invariants and cluster transformations, arXiv: 0811.2435, by
M. Kontsevich, Y. Soibelman.
