X-index: A novel flow-based locational measure for quantifying centrality
The centrality of a place reflects its relative importance in serving other places, and quantifying centrality is a prerequisite for assessing the urban spatial structure and facilitates policy-making of sustainable urban development.
Xi Wang +7 more
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Scale-dependent measure of network centrality from diffusion dynamics
Classic measures of graph centrality capture distinct aspects of node importance, from the local (e.g., degree) to the global (e.g., closeness). Here we exploit the connection between diffusion and geometry to introduce a multiscale centrality measure. A
Alexis Arnaudon +2 more
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A measure of centrality in cyclic diffusion processes: Walk-betweenness.
Unlike many traditional measures of centrality based on paths that do not allow any repeated nodes or lines, we propose a new measure of centrality based on walks, walk-betweenness, that allows any number of repeated nodes or lines.
Yoosik Youm, Byungkyu Lee, Junsol Kim
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Rank monotonicity in centrality measures [PDF]
AbstractA measure of centrality isrank monotoneif after adding an arcx→y, all nodes with a score smaller than (or equal to)yhave still a score smaller than (or equal to)y. If, in particular, all nodes with a score smaller than or equal toyget a score smaller thany(i.e., all ties withyare broken in favor ofy), the measure is calledstrictly rank monotone.
Paolo Boldi +2 more
openaire +1 more source
Efficient computation of the Shapley value for game-theoretic network centrality [PDF]
The Shapley value—probably the most important normative payoff division scheme in coalitional games—has recently been advocated as a useful measure of centrality in net-works.
Michalak, T +13 more
core +1 more source
A study of the stability of information and telecommunication networks under conditions of stochastic percolation of nodes [PDF]
In-depth studies of the topological properties of information and telecommunication networks contribute to the understanding of their functional capabilities, including stability.
Fedor L. Shuvaev, Kirill I. Vitenzon
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A weighted communicability measure applied to complex brain networks [PDF]
Recent advances in experimental neuroscience allow non-invasive studies of the white matter tracts in the human central nervous system, thus making available cutting-edge brain anatomical data describing these global connectivity patterns.
Crofts, J.J. +5 more
core +1 more source
Node centrality based on its edges importance: The Position centrality
We propose a novel family of node centralities in social networks, named family of position centralities, which explicitly takes into account the importance of the links to assess the centrality of the nodes that support them through the Position value ...
Saboyá, Martha +3 more
core +1 more source
A Time-Ordered Aggregation Model-Based Centrality Metric for Mobile Social Networks
How to measure the centrality of nodes is a significant problem in mobile social networks (MSNs). Current studies in MSNs mainly focus on measuring the centrality of nodes in a certain time interval based on the static graph that do not change over time.
Huan Zhou +5 more
doaj +1 more source
Knotty-centrality: finding the connective core of a complex network. [PDF]
A network measure called knotty-centrality is defined that quantifies the extent to which a given subset of a graph's nodes constitutes a densely intra-connected topologically central connective core. Using this measure, the knotty centre of a network is
Murray Shanahan, Mark Wildie
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