TY  - JOUR
AU  - Maletić, Slobodan
AU  - Horak, Danijela
AU  - Rajković, Milan
PY  - 2012
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/4886
AB  - Simplicial complexes represent powerful models of complex networks and complex systems in general. We explore the properties of spectra of combinatorial Laplacian operator of simplicial complexes in the context of connectivity of cliques in the simplicial clique complex associated with social networks. The necessity of higher order spectral analysis is discussed and compared with results for ordinary graph spectra. Methods and results are applied using social network of the Zachary karate club and the network of characters from Victor Hugos novel Les Miserables.
T2  - Advances in Complex Systems
T1  - Cooperation, Conflict and Higher-Order Structures of Social Networks
VL  - 15
DO  - 10.1142/S0219525912500555
ER  - 

@article{
author = "Maletić, Slobodan and Horak, Danijela and Rajković, Milan",
year = "2012",
abstract = "Simplicial complexes represent powerful models of complex networks and complex systems in general. We explore the properties of spectra of combinatorial Laplacian operator of simplicial complexes in the context of connectivity of cliques in the simplicial clique complex associated with social networks. The necessity of higher order spectral analysis is discussed and compared with results for ordinary graph spectra. Methods and results are applied using social network of the Zachary karate club and the network of characters from Victor Hugos novel Les Miserables.",
journal = "Advances in Complex Systems",
title = "Cooperation, Conflict and Higher-Order Structures of Social Networks",
volume = "15",
doi = "10.1142/S0219525912500555"
}

Maletić, S., Horak, D.,& Rajković, M.. (2012). Cooperation, Conflict and Higher-Order Structures of Social Networks. in Advances in Complex Systems, 15.
https://doi.org/10.1142/S0219525912500555

Maletić S, Horak D, Rajković M. Cooperation, Conflict and Higher-Order Structures of Social Networks. in Advances in Complex Systems. 2012;15.
doi:10.1142/S0219525912500555 .

Maletić, Slobodan, Horak, Danijela, Rajković, Milan, "Cooperation, Conflict and Higher-Order Structures of Social Networks" in Advances in Complex Systems, 15 (2012),
https://doi.org/10.1142/S0219525912500555 . .

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 . .