Universal Behavior of Load Distribution in Scale-Free Networks

Uoh, K.-I.; Kahng, B.; Kim, D.

doi:10.1515/9781400841356.368

Cited by 3 publications

(2 citation statements)

References 17 publications

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“…Load centrality (Figure 3D') was measured via the load_centrality() function in NetworkX, which is based on (Goh et al, 2011) . Load centrality of a node is the fraction of all shortest paths between each pair of nodes in the network that passes through that node.…”

Section: Measures Of Centralitymentioning

confidence: 99%

Systematic annotation of a complete adult maleDrosophilanerve cord connectome reveals principles of functional organisation

Marin

Morris

Stuerner

et al. 2023

Preprint

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Our companion paper (Takemura et al., 2023) introduces the first completely proofread connectome of the nerve cord of an animal that can walk or fly. The base connectome consists of neuronal morphologies and the connections between them. However, in order to efficiently navigate and understand this connectome, it is crucial to have a system of annotations that systematically categorises and names neurons, linking them to the existing literature. In this paper we describe the comprehensive annotation of the VNC connectome, first by a system of hierarchical coarse annotations, then by grouping left-right and serially homologous neurons and eventually by defining systematic cell types for the intrinsic interneurons and sensory neurons of the VNC; descending and motor neurons are typed in (Cheong et al., 2023). We assign a sensory modality to over 5000 sensory neurons, cluster them by connectivity, and identify serially homologous cell types and a layered organisation likely corresponding to peripheral topography. We identify the developmental neuroblast of origin of the large majority of VNC neurons and confirm that (in most cases) all secondary neurons of each hemilineage express a single neurotransmitter. Neuroblast hemilineages are serially repeated along the segments of the nerve cord and generally exhibit consistent hemilineage-to-hemilineage connectivity across neuromeres, supporting the idea that hemilineages are a major organisational feature of the VNC. We also find that more than a third of individual neurons belong to serially homologous cell types, which were crucial for identifying motor neurons and sensory neurons across leg neuropils. Categorising interneurons by their neuropil innervation patterns provides an additional organisation axis. Over half of the intrinsic neurons of the VNC appear dedicated to the legs, with the majority restricted to single leg neuropils; in contrast, inhibitory interneurons connecting different leg neuropils, especially those crossing the midline, appear rarer than anticipated by standard models of locomotor circuitry. Our annotations are being released as part of the neuprint.janelia.org web application and also serve as the basis of programmatic analysis of the connectome through dedicated tools that we describe in this paper.

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Section: Measures Of Centralitymentioning

confidence: 99%

Systematic annotation of a complete adult maleDrosophilanerve cord connectome reveals principles of functional organisation

Marin

Morris

Stuerner

et al. 2023

Preprint

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“…1a for undirected Erdös-Rényi random graph [50] and Fig. 1b for scale-free networks [51]). Yet, the critical point q c of energy difference between canonical and conformity systems do depend on the average degree.…”

Section: Resultsmentioning

confidence: 99%

Optimal control of complex networks with conformity behavior

Qian,

Yuan,

Zhou

et al. 2021

Preprint

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Despite the significant advances in identifying the driver nodes and energy requiring in network control, a framework that incorporates more complicated dynamics remains challenging. Here, we consider the conformity behavior into network control, showing that the control of networked systems with conformity will become easier as long as the number of external inputs beyond a critical point. We find that this critical point is fundamentally determined by the network connectivity. In particular, we investigate the nodal structural characteristic in network control and propose optimal control strategy to reduce the energy requiring in controlling networked systems with conformity behavior. We examine those findings in various synthetic and real networks, confirming that they are universal in describing the control energy of networked systems. Our results advance the understanding of network control in practical applications.

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