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This paper studies the formation of risk-sharing networks through costly social investments, identifying endogenous inequality and a misallocation of resources as possible downsides to such agreemen...
ESTIMATING AND UNDERSTANDING EXPONENTIAL RANDOM GRAPH MODELS。
In a random graph model based on 3-interactions we give the joint asymptotic distribution of weights and degrees and prove scale-free property for the model. Moreover, we determine the asymptotics of ...
Abstract: We consider the likely size of the endpoint sets produced by Posa rotations, when applied to a longest path in a random graph with $cn,\,c\geq 2.7$ edges that is conditioned to have minimum ...
Abstract: We study the antiferromagnetic Potts model on the Erdos-Renyi random graph. By identifying a suitable interpolation structure and proving an extended variational principle we show that the r...
Consider a critical random multigraph Gn constructed by the con guration model such that its vertex degrees are independent random variables with the same distribution  (criticality means that the se...
Bootstrap percolation on the random graph Gn,p is a process of spread of “activation” on a given realization of the graph with a given number of initially active nodes. At each step those vertices wh...
2006Vol.46No.2pp.261-264DOI: Influence of Inhomogeneity on Critical Behavior of Earthquake Model on Random Graph ZHANG Duan-Ming, SUN Fan, YU Bo-Ming, PAN Gui-Jun, YIN Yan-Ping, L...

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