We discuss the wall-crossing of the BPS bound states of a non-compact
holomorphic D4-brane with D2 and D0-branes on the conifold. We use the
Kontsevich-Soibelman wall-crossing formula and analyze the BPS degeneracy in
various chambers. In particular we obtain a relation between BPS degeneracies
in two limiting attractor chambers related by a flop transition. Our result is
consistent with known results and predicts BPS degeneracies in all chambers.Comment: 15 pages, 4 figures; v2: typos corrected; v3: minor changes, a
reference added, version to be published in JHE