Hierarchy depth in directed networks

Published 8 Mar 2013 in physics.soc-ph and cond-mat.stat-mech | (1303.2085v1)

Abstract: We explore depth measures for flow hierarchy in directed networks. We define two measures -- rooted depth and relative depth, and discuss differences between them. We investigate how the two measures behave in random Erdos-Renyi graphs of different sizes and densities and explain obtained results.

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