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.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
Literature
Puma, Marcello. 1939.Elementi per una teoria matematica del contagio. Rome: Editoriale Aeronautica.
Rapoport, Anatol. 1948. “Cycle Distributions in Random Nets.”Bull. Math. Biophysics,10, 145–57.
Shimbel, Alfonso. 1950. “Contributions to the Mathematical Biophysics of the Central Nervous System with Special Reference to Learning.”Bull. Math. Biophysics,12, 241–75.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Solomonoff, R., Rapoport, A. Connectivity of random nets. Bulletin of Mathematical Biophysics 13, 107–117 (1951). https://doi.org/10.1007/BF02478357
Issue Date:
DOI: https://doi.org/10.1007/BF02478357