Gromov Centrality: A Multi-Scale Measure of Network Centrality Using Triangle Inequality Excess
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DOI: 10.1103/physreve.106.034312
Abstract: Centrality measures quantify the importance of a node in a network based on different geometric or diffusive properties, and focus on different scales. Here, we adopt a geometrical viewpoint to define a multiscale centrality in… read more here.
Keywords: network; centrality; inequality excess; gromov centrality ... See more keywords
Double-Composed Metric Spaces
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DOI: 10.3390/math11081866
Abstract: The double-controlled metric-type space (X,D) is a metric space in which the triangle inequality has the form D(η,μ)≤ζ1(η,θ)D(η,θ)+ζ2(θ,μ)D(θ,μ) for all η,θ,μ∈X. The maps ζ1,ζ2:X×X→[1,∞) are called control functions. In this paper, we introduce a novel… read more here.
Keywords: composed metric; control functions; metric space; space ... See more keywords