Near the boundary of feasible edge and triangle densities, entropy-optimal graphons are unique, multipodal, and analytic in the constraints, yielding infinitely many phases.
Austin, On exchangeable random variables and the statistics of large graphs and hypergraphs , Prob- ability Surveys 5 (2008) 80-145
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Emergence in graphs with near-extreme constraints
Near the boundary of feasible edge and triangle densities, entropy-optimal graphons are unique, multipodal, and analytic in the constraints, yielding infinitely many phases.