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Connectivity of random nets Export

Bulletin of Mathematical Biology, Vol. 13, No. 2. (21 June 1951), pp. 107-117.

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exponential_random_graphs history math networks

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Abstract  The weak connectivity γ of a random net is defined and computed by an approximation method as a function ofa, the axone density. It is shown that γ rises rapidly witha, attaining 0.8 of its asymptotic value (unity) fora=2, where the number of neurons in the net is arbitrarily large. The significance of this parameter is interpreted also in terms of the maximum expected spread of an epidemic under certain conditions.


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