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arxiv: 1110.1912 · v1 · pith:5YFC4WEOnew · submitted 2011-10-10 · 🧮 math.PR · math-ph· math.CO· math.MP

Emergent structures in large networks

classification 🧮 math.PR math-phmath.COmath.MP
keywords largeregionclassconsidercorrespondingdisorderedemergentexistence
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We consider a large class of exponential random graph models and prove the existence of a region of parameter space corresponding to multipartite structure, separated by a phase transition from a region of disordered graphs.

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