Complexity and dynamics of topological and community structure in complex networks
Abstract
Complexity is highly susceptible to variations in the network dynamics, reflected on its underlying architecture where topological organization of cohesive subsets into clusters, systems modular structure and resulting hierarchical patterns, are cross-linked with functional dynamics of the system. Here we study connection between hierarchical topological scales of the simplicial complexes and the organization of functional clusters - communities in complex networks. The analysis reveals the full dynamics of different combinatorial structures of q-th-dimensional simplicial complexes and their Laplacian spectra, presenting spectral properties of resulting symmetric and positive semidefinite matrices. The emergence of systems collective behavior from inhomogeneous statistical distribution is induced by hierarchically ordered topological structure, which is mapped to simplicial complex where local interactions between the nodes clustered into subcomplexes generate flow of information that ...characterizes complexity and dynamics of the full system.
Source:
European Physical Journal : Special Topics, 2017, 226, 10, 2205-2218Funding / projects:
- FP7 EU Commission framework
DOI: 10.1140/epjst/e2016-60398-3
ISSN: 1951-6355; 1951-6401
WoS: 000404711400003
Scopus: 2-s2.0-85010780490
Collections
Institution/Community
VinčaTY - JOUR AU - Berec, Vesna I. PY - 2017 UR - https://vinar.vin.bg.ac.rs/handle/123456789/1627 AB - Complexity is highly susceptible to variations in the network dynamics, reflected on its underlying architecture where topological organization of cohesive subsets into clusters, systems modular structure and resulting hierarchical patterns, are cross-linked with functional dynamics of the system. Here we study connection between hierarchical topological scales of the simplicial complexes and the organization of functional clusters - communities in complex networks. The analysis reveals the full dynamics of different combinatorial structures of q-th-dimensional simplicial complexes and their Laplacian spectra, presenting spectral properties of resulting symmetric and positive semidefinite matrices. The emergence of systems collective behavior from inhomogeneous statistical distribution is induced by hierarchically ordered topological structure, which is mapped to simplicial complex where local interactions between the nodes clustered into subcomplexes generate flow of information that characterizes complexity and dynamics of the full system. T2 - European Physical Journal : Special Topics T1 - Complexity and dynamics of topological and community structure in complex networks VL - 226 IS - 10 SP - 2205 EP - 2218 DO - 10.1140/epjst/e2016-60398-3 ER -
@article{ author = "Berec, Vesna I.", year = "2017", abstract = "Complexity is highly susceptible to variations in the network dynamics, reflected on its underlying architecture where topological organization of cohesive subsets into clusters, systems modular structure and resulting hierarchical patterns, are cross-linked with functional dynamics of the system. Here we study connection between hierarchical topological scales of the simplicial complexes and the organization of functional clusters - communities in complex networks. The analysis reveals the full dynamics of different combinatorial structures of q-th-dimensional simplicial complexes and their Laplacian spectra, presenting spectral properties of resulting symmetric and positive semidefinite matrices. The emergence of systems collective behavior from inhomogeneous statistical distribution is induced by hierarchically ordered topological structure, which is mapped to simplicial complex where local interactions between the nodes clustered into subcomplexes generate flow of information that characterizes complexity and dynamics of the full system.", journal = "European Physical Journal : Special Topics", title = "Complexity and dynamics of topological and community structure in complex networks", volume = "226", number = "10", pages = "2205-2218", doi = "10.1140/epjst/e2016-60398-3" }
Berec, V. I.. (2017). Complexity and dynamics of topological and community structure in complex networks. in European Physical Journal : Special Topics, 226(10), 2205-2218. https://doi.org/10.1140/epjst/e2016-60398-3
Berec VI. Complexity and dynamics of topological and community structure in complex networks. in European Physical Journal : Special Topics. 2017;226(10):2205-2218. doi:10.1140/epjst/e2016-60398-3 .
Berec, Vesna I., "Complexity and dynamics of topological and community structure in complex networks" in European Physical Journal : Special Topics, 226, no. 10 (2017):2205-2218, https://doi.org/10.1140/epjst/e2016-60398-3 . .