Exact Solution of Ising Model on a Small-World Network
  We present an exact solution of a one-dimensional Ising chain with both nearest neighbor and random long-range interactions. Not surprisingly, the solution confirms the mean field character of the transition. This solution also predicts the finite-size scaling that we observe in numerical simulations. 
J. Viana Lopes, Yu. G. Pogorelov, J. M. B. Lopes dos Santos and R.   Toral