Spectral properties of Anderson-percolation Hamiltonians
  This is a slightly enlarged and corrected version of a contribution to the Oberwolfach Reports 3(1):511-552, 2006.   We summarise some results on spectral properties of Laplacians on percolation graphs and more general Anderson-percolation Hamiltonians proven in references [4], [5], [6], and [7]. For some specific examples of such operators more detailed spectral properties are discussed. 
Ivan Veselic'