Before revision:  The Sitting Closer to Friends than Enemies (SCFE ) problem is to find an injection of the vertex set of a given signed graph into a metric space such that  for every pair of incident edges with different signs  the end vertices of the positive edge are injected closer in the space than the end vertices of the negative edge.
After revision:  The Sitting Closer to Friends than Enemies (SCFE ) problem is to find an injection of the vertex set of a given signed graph into a metric space such that for every pair of incident edges with different signs , the end vertices of the positive edge are injected closer in the space than the end vertices of the negative edge.