Possibilities Determine the Combinatorial Structure of Probability   Polytopes
  We study the set of no-signalling empirical models on a measurement scenario, and show that the combinatorial structure of the no-signalling polytope is completely determined by the possibilistic information given by the support of the models. This is a special case of a general result which applies to all polytopes presented in a standard form, given by linear equations together with non-negativity constraints on the variables. 
Samson Abramsky, Rui Soares Barbosa, Kohei Kishida, Raymond Lal, Shane   Mansfield
quant-ph cs.LO math.PR