Statistical disorder and the analysis of a communication‐graph

The Brillouin Information Measure can be used to describe important properties of the co‐author graph and other communication‐graphs to order points in terms of their contribution to a favorable communication‐structure.

Abstract

Abstract The lines of a co‐author graph represent channels of communication through which information has been and may continue to be informally exchanged. The Brillouin Information Measure can be used to describe important properties of the co‐author graph and other communication‐graphs. The “connectedness” of a graph can be represented on a scale in which one limiting value signifies a connected graph and the other limiting value signifies a graph in which all points are isolated. Important points can be distinguished from all other points in a communication‐graph. These important points are defined mathematically and are called synthetic cutpoints. A measure of importance can be assigned to each point in a communication‐graph. This measure can be used to order points in terms of their contribution to a favorable communication‐structure.