The maximum of the minimal multiplicity of eigenvalues of symmetric   matrices whose pattern is constrained by a graph
  In this paper we introduce a parameter $Mm(G)$, defined as the maximum over the minimal multiplicities of eigenvalues among all symmetric matrices corresponding to a graph $G$. We compute $Mm(G)$ for several families of graphs. 
Polona Oblak, Helena \v{S}migoc
math.SP