TY  - JOUR
AU  - Tadić, Bosiljka
AU  - Šuvakov, Milovan
AU  - Anđelković, Miroslav
AU  - Rodgers, Geoff J.
PY  - 2020
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/9683
AB  - Recently, the importance of higher-order interactions in the physics of quantum systems and nanoparticle assemblies has prompted the exploration of new classes of networks that grow through geometrically constrained simplex aggregation. Based on the model of chemically tunable self-assembly of simplexes [Šuvakov et al., Sci. Rep. 8, 1987 (2018)], here we extend the model to allow the presence of a defect edge per simplex. Using a wide distribution of simplex sizes (from edges, triangles, tetrahedrons, etc., up to 10-cliques) and various chemical affinity parameters, we investigate the magnitude of the impact of defects on the self-assembly process and the emerging higher-order networks. Their essential characteristics are treelike patterns of defect bonds, hyperbolic geometry, and simplicial complexes, which are described using the algebraic topology method. Furthermore, we demonstrate how the presence of patterned defects can be used to alter the structure of the assembly after the growth process is complete. In the assemblies grown under different chemical affinities, we consider the removal of defect bonds and analyze the progressive changes in the hierarchical architecture of simplicial complexes and the hyperbolicity parameters of the underlying graphs. Within the framework of cooperative self-assembly of nanonetworks, these results shed light on the use of defects in the design of complex materials. They also provide a different perspective on the understanding of extended connectivity beyond pairwise interactions in many complex systems.
T2  - Physical Review E
T1  - Large-scale influence of defect bonds in geometrically constrained self-assembly
VL  - 102
IS  - 3
SP  - 032307
DO  - 10.1103/PhysRevE.102.032307
ER  - 

@article{
author = "Tadić, Bosiljka and Šuvakov, Milovan and Anđelković, Miroslav and Rodgers, Geoff J.",
year = "2020",
abstract = "Recently, the importance of higher-order interactions in the physics of quantum systems and nanoparticle assemblies has prompted the exploration of new classes of networks that grow through geometrically constrained simplex aggregation. Based on the model of chemically tunable self-assembly of simplexes [Šuvakov et al., Sci. Rep. 8, 1987 (2018)], here we extend the model to allow the presence of a defect edge per simplex. Using a wide distribution of simplex sizes (from edges, triangles, tetrahedrons, etc., up to 10-cliques) and various chemical affinity parameters, we investigate the magnitude of the impact of defects on the self-assembly process and the emerging higher-order networks. Their essential characteristics are treelike patterns of defect bonds, hyperbolic geometry, and simplicial complexes, which are described using the algebraic topology method. Furthermore, we demonstrate how the presence of patterned defects can be used to alter the structure of the assembly after the growth process is complete. In the assemblies grown under different chemical affinities, we consider the removal of defect bonds and analyze the progressive changes in the hierarchical architecture of simplicial complexes and the hyperbolicity parameters of the underlying graphs. Within the framework of cooperative self-assembly of nanonetworks, these results shed light on the use of defects in the design of complex materials. They also provide a different perspective on the understanding of extended connectivity beyond pairwise interactions in many complex systems.",
journal = "Physical Review E",
title = "Large-scale influence of defect bonds in geometrically constrained self-assembly",
volume = "102",
number = "3",
pages = "032307",
doi = "10.1103/PhysRevE.102.032307"
}

Tadić, B., Šuvakov, M., Anđelković, M.,& Rodgers, G. J.. (2020). Large-scale influence of defect bonds in geometrically constrained self-assembly. in Physical Review E, 102(3), 032307.
https://doi.org/10.1103/PhysRevE.102.032307

Tadić B, Šuvakov M, Anđelković M, Rodgers GJ. Large-scale influence of defect bonds in geometrically constrained self-assembly. in Physical Review E. 2020;102(3):032307.
doi:10.1103/PhysRevE.102.032307 .

Tadić, Bosiljka, Šuvakov, Milovan, Anđelković, Miroslav, Rodgers, Geoff J., "Large-scale influence of defect bonds in geometrically constrained self-assembly" in Physical Review E, 102, no. 3 (2020):032307,
https://doi.org/10.1103/PhysRevE.102.032307 . .

TY  - JOUR
AU  - Tadić, Bosiljka
AU  - Anđelković, Miroslav
AU  - Šuvakov, Milovan
PY  - 2018
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/1953
AB  - Hyperbolicity or negative curvature of complex networks is the intrinsic geometric proximity of nodes in the graph metric space, which implies an improved network function. Here, we investigate hidden combinatorial geometries in brain-to-brain coordination networks arising through social communications. The networks originate from correlations among EEG signals previously recorded during spoken communications comprising of 14 individuals with 24 speaker-listener pairs. We find that the corresponding networks are delta-hyperbolic with delta(max) = 1 and the graph diameter D = 3 in each brain. While the emergent hyperbolicity in the two-brain networks varies satisfying delta(max)/D/2 LT = 1 and can be attributed to the topology of the subgraph formed around the cross-brains linking channels. We identify these subgraphs in each studied two-brain network and decompose their structure into simple geometric descriptors ( triangles, tetrahedra and cliques of higher orders) that contribute to hyperbolicity. Considering topologies that exceed two separate brain networks as a measure of coordination synergy between the brains, we identify different neural correlation patterns ranging from weak coordination to super-brain structure. These topology features are in qualitative agreement with the listeners self-reported ratings of own experience and quality of the speaker, suggesting that studies of the cross-brain connector networks can reveal new insight into the neural mechanisms underlying human social behavior.
T2  - Frontiers in Physics
T1  - Origin of Hyperbolicity in Brain-to-Brain Coordination Networks
VL  - 6
DO  - 10.3389/fphy.2018.00007
ER  - 

@article{
author = "Tadić, Bosiljka and Anđelković, Miroslav and Šuvakov, Milovan",
year = "2018",
abstract = "Hyperbolicity or negative curvature of complex networks is the intrinsic geometric proximity of nodes in the graph metric space, which implies an improved network function. Here, we investigate hidden combinatorial geometries in brain-to-brain coordination networks arising through social communications. The networks originate from correlations among EEG signals previously recorded during spoken communications comprising of 14 individuals with 24 speaker-listener pairs. We find that the corresponding networks are delta-hyperbolic with delta(max) = 1 and the graph diameter D = 3 in each brain. While the emergent hyperbolicity in the two-brain networks varies satisfying delta(max)/D/2 LT = 1 and can be attributed to the topology of the subgraph formed around the cross-brains linking channels. We identify these subgraphs in each studied two-brain network and decompose their structure into simple geometric descriptors ( triangles, tetrahedra and cliques of higher orders) that contribute to hyperbolicity. Considering topologies that exceed two separate brain networks as a measure of coordination synergy between the brains, we identify different neural correlation patterns ranging from weak coordination to super-brain structure. These topology features are in qualitative agreement with the listeners self-reported ratings of own experience and quality of the speaker, suggesting that studies of the cross-brain connector networks can reveal new insight into the neural mechanisms underlying human social behavior.",
journal = "Frontiers in Physics",
title = "Origin of Hyperbolicity in Brain-to-Brain Coordination Networks",
volume = "6",
doi = "10.3389/fphy.2018.00007"
}

Tadić, B., Anđelković, M.,& Šuvakov, M.. (2018). Origin of Hyperbolicity in Brain-to-Brain Coordination Networks. in Frontiers in Physics, 6.
https://doi.org/10.3389/fphy.2018.00007

Tadić B, Anđelković M, Šuvakov M. Origin of Hyperbolicity in Brain-to-Brain Coordination Networks. in Frontiers in Physics. 2018;6.
doi:10.3389/fphy.2018.00007 .

Tadić, Bosiljka, Anđelković, Miroslav, Šuvakov, Milovan, "Origin of Hyperbolicity in Brain-to-Brain Coordination Networks" in Frontiers in Physics, 6 (2018),
https://doi.org/10.3389/fphy.2018.00007 . .

TY  - JOUR
AU  - Šuvakov, Milovan
AU  - Anđelković, Miroslav
AU  - Tadić, Bosiljka
PY  - 2018
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/1931
AB  - Multilevel self-assembly involving small structured groups of nano-particles provides new routes to development of functional materials with a sophisticated architecture. Apart from the inter-particle forces, the geometrical shapes and compatibility of the building blocks are decisive factors. Therefore, a comprehensive understanding of these processes is essential for the design of assemblies of desired properties. Here, we introduce a computational model for cooperative self-assembly with the simultaneous attachment of structured groups of particles, which can be described by simplexes (connected pairs, triangles, tetrahedrons and higher order cliques) to a growing network. The model incorporates geometric rules that provide suitable nesting spaces for the new group and the chemical affinity of the system to accept excess particles. For varying chemical affinity, we grow different classes of assemblies by binding the cliques of distributed sizes. Furthermore, we characterize the emergent structures by metrics of graph theory and algebraic topology of graphs, and 4-point test for the intrinsic hyperbolicity of the networks. Our results show that higher Q-connectedness of the appearing simplicial complexes can arise due to only geometric factors and that it can be efficiently modulated by changing the chemical potential and the polydispersity of the binding simplexes.
T2  - Scientific Reports
T1  - Hidden geometries in networks arising from cooperative self-assembly
VL  - 8
IS  - 1
SP  - 1987
DO  - 10.1038/s41598-018-20398-x
ER  - 

@article{
author = "Šuvakov, Milovan and Anđelković, Miroslav and Tadić, Bosiljka",
year = "2018",
abstract = "Multilevel self-assembly involving small structured groups of nano-particles provides new routes to development of functional materials with a sophisticated architecture. Apart from the inter-particle forces, the geometrical shapes and compatibility of the building blocks are decisive factors. Therefore, a comprehensive understanding of these processes is essential for the design of assemblies of desired properties. Here, we introduce a computational model for cooperative self-assembly with the simultaneous attachment of structured groups of particles, which can be described by simplexes (connected pairs, triangles, tetrahedrons and higher order cliques) to a growing network. The model incorporates geometric rules that provide suitable nesting spaces for the new group and the chemical affinity of the system to accept excess particles. For varying chemical affinity, we grow different classes of assemblies by binding the cliques of distributed sizes. Furthermore, we characterize the emergent structures by metrics of graph theory and algebraic topology of graphs, and 4-point test for the intrinsic hyperbolicity of the networks. Our results show that higher Q-connectedness of the appearing simplicial complexes can arise due to only geometric factors and that it can be efficiently modulated by changing the chemical potential and the polydispersity of the binding simplexes.",
journal = "Scientific Reports",
title = "Hidden geometries in networks arising from cooperative self-assembly",
volume = "8",
number = "1",
pages = "1987",
doi = "10.1038/s41598-018-20398-x"
}

Šuvakov, M., Anđelković, M.,& Tadić, B.. (2018). Hidden geometries in networks arising from cooperative self-assembly. in Scientific Reports, 8(1), 1987.
https://doi.org/10.1038/s41598-018-20398-x

Šuvakov M, Anđelković M, Tadić B. Hidden geometries in networks arising from cooperative self-assembly. in Scientific Reports. 2018;8(1):1987.
doi:10.1038/s41598-018-20398-x .

Šuvakov, Milovan, Anđelković, Miroslav, Tadić, Bosiljka, "Hidden geometries in networks arising from cooperative self-assembly" in Scientific Reports, 8, no. 1 (2018):1987,
https://doi.org/10.1038/s41598-018-20398-x . .