Mean-field solution of structural balance dynamics in nonzero temperature

Rabbani, Fereshteh; Shirazi, Amir Hossein Masnadi; Jafari, G. R.

doi:10.1103/physreve.99.062302

Cited by 50 publications

(55 citation statements)

References 26 publications

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“…Stability, in terms of Balance Theory corresponds to a lower energy level according to the proposed energy equation [57][58][59][60] . It implies less possibility of changing the configuration of the triangles and therefore, less change in gene regulation within the network.…”

Section: Network Construction From Real Data and The Results Of Balancmentioning

confidence: 99%

Topological Analysis of Interaction Patterns in Cancer-Specific Gene Regulatory Network: Persistent Homology Approach

Masoomy

Askari

Tajik

et al. 2021

Preprint

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In this study, we investigated cancer cellular networks in the context of gene interactions and their associated patterns in order to recognize the structural features underlying this disease. We aim to propose that the quest of understanding cancer takes us beyond pairwise interactions between genes to a higher-order construction. We characterize the most prominent network deviations in the gene interaction patterns between cancer and normal samples that contribute to the complexity of this disease. What we hope is that through understanding these interaction patterns we will notice a deeper structure in the cancer network. This study uncovers the significant deviations that topological features in cancerous cells show from the healthy one, where the last stage of filtration confirms the importance of 1-dimensional holes (topological loops) in cancerous cells and 2-dimensional holes (topological voids) in healthy cells. In the small threshold region, the drop in the number of connected components of the cancer network, along with the rise in the number of loops and voids, all occurring at some smaller weight values compared to the normal case, reveals the cancerous network tendency to certain pathways.

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Section: Network Construction From Real Data and The Results Of Balancmentioning

confidence: 99%

Topological Analysis of Interaction Patterns in Cancer-Specific Gene Regulatory Network: Persistent Homology Approach

Masoomy

Askari

Tajik

et al. 2021

Preprint

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“…As long as the number of links and that of triangles are of the same order of magnitude (as is the case in sparse networks), it seems reasonable to keep the contribution of the Heider term comparable to that of opinions. In physics, the case g = 0 corresponds to the classical Edwards-Anderson spin glass model [60], while the other extreme, g → ∞, it corresponds to the model studied in [13,17,61,62]. 4 These groups are closely related to the so-called cohesive subgroups in the social network literature [65].…”

Section: Endnotesmentioning

confidence: 99%

The effect of social balance on social fragmentation

Pham

Kondor

Hanel

et al. 2020

J. R. Soc. Interface.

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With the availability of internet, social media, etc., the interconnectedness of people within most societies has increased tremendously over the past decades. Across the same timespan, an increasing level of fragmentation of society into small isolated groups has been observed. With a simple model of a society, in which the dynamics of individual opinion formation is integrated with social balance, we show that these two phenomena might be tightly related. We identify a critical level of interconnectedness, above which society fragments into sub-communities that are internally cohesive and hostile towards other groups. This critical communication density necessarily exists in the presence of social balance, and arises from the underlying mathematical structure of a phase transition known from the theory of disordered magnets called spin glasses. We discuss the consequences of this phase transition for social fragmentation in society.

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“…To overcome the above-mentioned shortages, we decided to employ the structural balance theory to assess the stability of functional brain networks. The structural balance is a wellknown approach to investigate the stability of complex social networks [15][16][17]. It does not restrict us to segment time courses and has no conflict with the emergent property of the brain network.…”

Section: Introductionmentioning

confidence: 99%

Topological impact of negative links on the stability of resting-state brain network

Saberi

Khosrowabadi

Khatibi

et al. 2021

Preprint

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Stability is a physical attribute that stands opposite the change. However, it is still unclear how the arrangement of links called topology affects network stability. In this study, we tackled this issue in the resting-state brain network using structural balance. Structural balance theory employs the quality of triadic associations between signed links to determine the network stability. In this study, we showed that negative links of the resting-state network make hubs to reduce balance-energy and push the network into a more stable state compared to null-networks with trivial topologies. In this regard, we created a global measure entitled ‘tendency to make hub’ to assess the hubness of the network. Besides, we revealed nodal degrees of negative links have an exponential distribution that confirms the existence of negative hubs. Our findings indicate that the arrangement of negative links plays an important role in the balance (stability) of the resting-state brain network.

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Mean-field solution of structural balance dynamics in nonzero temperature

Cited by 50 publications

References 26 publications

Topological Analysis of Interaction Patterns in Cancer-Specific Gene Regulatory Network: Persistent Homology Approach

Topological Analysis of Interaction Patterns in Cancer-Specific Gene Regulatory Network: Persistent Homology Approach

The effect of social balance on social fragmentation

Topological impact of negative links on the stability of resting-state brain network

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