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We study the asymptotics of large, simple, labeled graphs constrained by the densities of edges and of $k$-star subgraphs, $k\ge 2$ fixed.
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C. Radin, K. Ren and L. Sadun, The asymptotics of large constrained graphs, J. Phys. A: Math. Theor. 47 (2014) 175001
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E. Lubetzky and Y. Zhao, On replica symmetry of large deviations in random graphs, Random Structures and Algorithms 47 (2015) 109–146
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C. Radin and L. Sadun, Singularities in the entropy of asymptotically large simple graphs, J. Stat. Phys. 158 (2015) 853–865
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