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MARC NOY, VLADY RAVELOMANANA, JUANJO RUÉ, ON THE PROBABILITY OF PLANARITY OF A RANDOM GRAPH NEAR THE CRITICAL POINT, Proceedings of the American Mathematical Society, Vol. 143, No. 3 (MARCH 2015), pp.
Chatterjee et al. (2011) established the consistency of the maximum likelihood estimator in the β-model for undirected random graphs when the number of vertices goes to infinity. By approximating the ...
Random graphs constitute one specific case — a random graph can be thought of as a random subset of the set of all possible edges — but there are many other objects that fall within the conjecture’s ...