In order to measure the extent to which the distribution of workload between actors in the
network can be equalized, a degree-weighted measure for a balanced workload based on
betweenness centrality is introduced. The goal of this study is to determine the extremal
values of the introduced measure, as well as the graph structures where the extremal values
are attained. Several real world networks were used for evaluation of the new invariant. The
obtained results are used for statistical comparison with standard measures of centrality
to demonstrate validity of the introduced measure.