The bulletin of mathematical biophysics

, Volume 15, Issue 4, pp 501–507 | Cite as

Structural parameters of communication networks

  • Alfonso Shimbel


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.


Path Length Biophysics Volume Structure Matrix Average Path Length Addition Theorem 
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  1. Shimbel, A. 1951. “Applications of Matrix Algebra to Communication Nets.”Bull. Math. Biophysics,13, 165–78.MathSciNetGoogle Scholar

Copyright information

© University of Chicago 1953

Authors and Affiliations

  • Alfonso Shimbel
    • 1
  1. 1.Committee on Mathematical BiologyThe University of ChicagoChicagoUSA

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