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Structural parameters of communication networks

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Abstract

Certain parameters are defined which roughly characterize the internal structure of networks. A given network structure uniquely determines the values of the parameters, but the reverse is not true. The parameters therefore define certain classes of networks.

One of the parameters, thedispersion D(S) gives an indication of the “compactness” of the internal structure.

Addition theorems and inequalities are derived relating the dispersions of sub-systems to the dispersion of the complete structure.

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Literature

  • Shimbel, A. 1951. “Applications of Matrix Algebra to Communication Nets.”Bull. Math. Biophysics,13, 165–78.

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Authors and Affiliations

  1. Committee on Mathematical Biology, The University of Chicago, Chicago, USA

    Alfonso Shimbel

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  1. Alfonso Shimbel
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Shimbel, A. Structural parameters of communication networks. Bulletin of Mathematical Biophysics 15, 501–507 (1953). https://doi.org/10.1007/BF02476438

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  • DOI: https://doi.org/10.1007/BF02476438

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