Authors: Sachin Patkar, Brigitte Servatius and K. V. Subrahmanyam
Reference: J. Comb. Theory B., \vol{62}, (1), 107--116, 1994.
Abstract: We consider the concept of abstract $2$--dimensional rigidity and provide necessary and sufficient conditions for a matroid to be an abstract rigidity matroid of a complete graph. This characterization is a natural extension of the characterization of graphic matroids due to Graver or Sachs. We also give an example of an abstract rigidity matroid which is not infinitesimal.