We consider finitely determined map germs f : (ℝ3, 0) → (ℝ2, 0) with f
–1(0) = {0} and we look at the classification of this kind of germ with respect to topological equivalence. By Fukuda's cone structure theorem, the topological type of f can be determined by the topological type of its associated link, which is a stable map from S
2 to S
1. We define a generalized version of the Reeb graph for stable maps γ : S
2
→ S
1, which turns out to be a complete topological invariant. If f has corank 1, then f can be seen as a stabilization of a function h
0: (ℝ2, 0) → (ℝ, 0), and we show that the Reeb graph is the sum of the partial trees of the positive and negative stabilizations of h
0. Finally, we apply this to give a complete topological description of all map germs with Boardman symbol Σ
2, 1.