Before revision:  Robust motifs are graphs associated to threshold-linear networks (TLNs) for which the structure of fixed points  is independent of the choice of connectivity matrix W . In this work we describe infinite families of robust motifs, and use them to completely characterize all robust motifs for networks of size n \leq 5.
After revision: To any inhibition-dominated threshold-linear network (TLN) we can associate a directed graph that captures the pattern of strong and weak inhibition between neurons. Robust motifs are graphs associated to threshold-linear networks (TLNs) for which the structure of fixed points is independent of the choice of connectivity matrix W . In this work we describe infinite families of robust motifs, and use them to completely characterize all robust motifs for networks of size n \leq 5.