Obstruction theory and minimal number of coincidences for maps from a complex into a manifold

The Nielsen coincidence theory is well understood for a pair ofmaps between $n$-dimensional compact manifolds for $n$ greater than or equalto three. We consider coincidence theory of a pair $(f,g)\colon K \to \mathbb N^n$,where $K$ is a finite simplicial complex of the same dimension as themanifold $\mathabb N^n$.We construct an algorithm to find the minimal number of coincidences in thehomotopy class of the pair based on the obstruction to deform the pair tocoincidence free. Some particular cases are analyzed including the onewhere the target is simply connected.