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arxiv: 1303.2085 · v1 · pith:5LSA66M6new · submitted 2013-03-08 · ⚛️ physics.soc-ph · cond-mat.stat-mech

Hierarchy depth in directed networks

classification ⚛️ physics.soc-ph cond-mat.stat-mech
keywords depthmeasuresdirectedhierarchynetworksbehavedefinedensities
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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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