Persistent Homology of Complex Networks - Mathematical PhysicsReport as inadecuate

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Abstract: Long lived topological features are distinguished from short lived onesconsidered as topological noise in simplicial complexes constructed fromcomplex networks. A new topological invariant, persistent homology, isdetermined and presented as a parametrized version of a Betti number. Complexnetworks with distinct degree distributions exhibit distinct persistenttopological features. Persistent toplogical attributes, shown to be related torobust quality of networks, also reflect defficiency in certain connectivityproperites of networks. Random networks, networks with exponential conectivitydistribution and scale-free networks were considered for homologicalpersistency analysis.

Author: Danijela Horak, Slobodan Maletic, Milan Rajkovic


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