(3) C lr in (v ) = max w ∈ V d (w, v ) (4) C lr out (v ) = max w ∈ V d (v, w ) Users of our system can replace the provided centrality measures with their centrality measurements of interest.
These plugins provide more centrality measures than other commonly used, but some other important features and recent developed methods are not included.
Given the global Katz centrality, users were required to provide the desired centrality for initial filtering of the nodes.
Rather than summarising log-ratios on a per-gene basis first, log-ratios for each dye-label combination were pooled across all genes and arrays, median and MAD were then used to provide estimates for centrality and spread.
To identify which centralities provide redundant information we compared protein rank orders, based on each centrality index, by adopting the Goodman-Kruskal's lambda [ 35].
The most influential graph metrics were betweenness centrality and eigenvector centrality, which provide measures of the extent to which a given brain region connects other regions in the network.
In summary, graph centralities provide a novel way to connect different cancer signatures and to understand the mechanism of relationship between gene expression and clinical outcome of breast cancer.
It remains to be seen whether other measures of centrality can provide better insights about these associations.
Such a notion violates the thesis held by many academic analysts like Saskia Sassen who see core cities like New York, London and Tokyo as occupying "new geographies of centrality" that provide "the strategic sites for management of the global economy".
While we cannot demonstrate the power of a similar approach in the context of a scientific collaboration, our preliminary results suggest that flow centrality does provide some insight into the variability in the partitioning of responsibilities among co-authors in a project.
