Ministry of Science of the Republic of Serbia [OI 144022]

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Ministry of Science of the Republic of Serbia [OI 144022]

Authors

Publications

Persistent homology of complex networks

Horak, Danijela; Maletić, Slobodan; Rajković, Milan

(2009)

TY  - JOUR
AU  - Horak, Danijela
AU  - Maletić, Slobodan
AU  - Rajković, Milan
PY  - 2009
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/3665
AB  - Long-lived topological features are distinguished from short-lived ones (considered as topological noise) in simplicial complexes constructed from complex networks. A new topological invariant, persistent homology, is determined and presented as a parameterized version of a Betti number. Complex networks with distinct degree distributions exhibit distinct persistent topological features. Persistent topological attributes, shown to be related to the robust quality of networks, also reflect the deficiency in certain connectivity properties of networks. Random networks, networks with exponential connectivity distribution and scale-free networks were considered for homological persistency analysis.
T2  - Journal of Statistical Mechanics: Theory and Experiment
T1  - Persistent homology of complex networks
DO  - 10.1088/1742-5468/2009/03/P03034
ER  - 
@article{
author = "Horak, Danijela and Maletić, Slobodan and Rajković, Milan",
year = "2009",
abstract = "Long-lived topological features are distinguished from short-lived ones (considered as topological noise) in simplicial complexes constructed from complex networks. A new topological invariant, persistent homology, is determined and presented as a parameterized version of a Betti number. Complex networks with distinct degree distributions exhibit distinct persistent topological features. Persistent topological attributes, shown to be related to the robust quality of networks, also reflect the deficiency in certain connectivity properties of networks. Random networks, networks with exponential connectivity distribution and scale-free networks were considered for homological persistency analysis.",
journal = "Journal of Statistical Mechanics: Theory and Experiment",
title = "Persistent homology of complex networks",
doi = "10.1088/1742-5468/2009/03/P03034"
}
Horak, D., Maletić, S.,& Rajković, M.. (2009). Persistent homology of complex networks. in Journal of Statistical Mechanics: Theory and Experiment.
https://doi.org/10.1088/1742-5468/2009/03/P03034
Horak D, Maletić S, Rajković M. Persistent homology of complex networks. in Journal of Statistical Mechanics: Theory and Experiment. 2009;.
doi:10.1088/1742-5468/2009/03/P03034 .
Horak, Danijela, Maletić, Slobodan, Rajković, Milan, "Persistent homology of complex networks" in Journal of Statistical Mechanics: Theory and Experiment (2009),
https://doi.org/10.1088/1742-5468/2009/03/P03034 . .
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