Small-worldness index
WebMar 31, 2024 · Compute the small-worldness index (Humphries & Gurney, 2008) relying on the global transitity of the network (Newman, 2003) and on its average shortest path … WebJan 23, 2024 · The small-worldness index can simultaneously reflect the integration and segregation. Thus, small-worldness might be more sensitive than the other network measures because two measures act as variables. It can be assumed that alterations in structural covariance network with a decrease in the brain efficiency may play an …
Small-worldness index
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WebJul 1, 2011 · It is known that the small-worldness index scales linearly with the network size (Humphries & Gurney, 2008). In other words, keeping the structural parameters of a network fixed and by increasing the number of nodes the small-worldness index expressed by S also increases (Fig. 1 A). However, we found that as more hub nodes underwent an attack ... WebHumphries and Gurney [ 34] introduced a small-worldness metric which uses the network-average clustering coefficient and path length values, relative to these metrics for random networks, to provide an overview of connectivity in the entire network.
WebSmall-world network Full size image Interpretation of graph metrics in the context of cognitive and behavioral outcomes is an area of ongoing investigation. It is likely an oversimplification to interpret a higher or lower value of most metrics as necessarily a positive or negative outcome (Bullmore & Bassett, 2011 ). WebA small world network is characterized by a small average shortest path length, and a large clustering coefficient. Small-worldness is commonly measured with the coefficient sigma or omega. Both coefficients compare the average clustering coefficient and shortest path …
WebJul 11, 2024 · The small-worldness index has also been calculated to extract topology descriptors of brain networks to understand WM phases . These indicators are effective in assessing overall network topography but are not at local important brain regions where activities are generally associated with cognitive tasks. WebThe small-world coefficient is defined as: sigma = C/Cr / L/Lr where C and L are respectively the average clustering coefficient and average shortest path length of G. Cr and Lr are respectively the average clustering coefficient and average shortest path length of an equivalent random graph.
WebSource code for networkx.algorithms.smallworld. """Functions for estimating the small-world-ness of graphs. A small world network is characterized by a small average shortest path length, and a large clustering coefficient. Small-worldness is commonly measured with the coefficient sigma or omega. Both coefficients compare the average clustering ...
WebDec 21, 2024 · Further analyses of brain networks suggested the loss decision-making brain network to have a larger small-worldness index given individuals' loss aversion. Taken … east valley astronomy clubWebThe small-worldness index is then computed as the transitivity (normalized by the random transitivity) over the average shortest path length (normalized by the random average shortest path length). The lo and up quantiles of the distribution of the random networks are also returned for both the transitivity and the average shortest path length. cumbria county council portalWebTo consider a network as "smallworld", it is also suggested to inspect that the network has a transitivity substantially higher than comparable random networks and that its average … east valley al anon meetings scheduleWebNational Center for Biotechnology Information east valley animal shelter available dogsWebApr 30, 2008 · A network is now deemed a ‘small-world’ if S>1 - an assertion which may be tested statistically. We then examined the behavior of S on a large data-set of real-world … east valley animal care and controlWebBoth density and small worldness increase rapidly starting in 2003, reaching a maximum in 2004 and decreasing rapidly, falling to zero in 2005. The observed temporal development is more pronounced for small worldness, by an order of magnitude. More specifically, the small worldness increase is about by 3000%, while the density increase is about ... cumbria county council postal addressWebJul 6, 2024 · Although small-world index described by Humphries et al. is one of the most commonly used network features in brain network studies, we can find that it is not a … cumbria county council public health