Coreness and h -Index for Weighted Networks

This paper presents a unified framework to generalize the traditional k-core decomposition method for both weighted and unweighted networks. It not only subsumes previous k-core decomposition methods but provides some new ones. With the help of the definition of n-th order h-index, we prove that all...

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Veröffentlicht in:IEEE transactions on circuits and systems. I, Regular papers Regular papers, 2019-08, Vol.66 (8), p.3113-3122
Hauptverfasser: Wu, Xiaoqun, Wei, Wenbin, Tang, Longkun, Lu, Jun'an, Lu, Jinhu
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container_title IEEE transactions on circuits and systems. I, Regular papers
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creator Wu, Xiaoqun
Wei, Wenbin
Tang, Longkun
Lu, Jun'an
Lu, Jinhu
description This paper presents a unified framework to generalize the traditional k-core decomposition method for both weighted and unweighted networks. It not only subsumes previous k-core decomposition methods but provides some new ones. With the help of the definition of n-th order h-index, we prove that all k-core indexes can be regarded as some steady state of h-index series with n going to infinity. Furthermore, all hindexes we obtain in intermediate calculation steps can be used as ranking scores to assess node importance in networks. Finally, we apply the provided new methods as well as two existing ones to four real networks and compare their performances on spreading influences ranking.
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subjects Complex networks
h-index
Indexes
k-core
Mathematics
Power grids
Power system stability
Stability analysis
Steady-state
vital node identification
title Coreness and h -Index for Weighted Networks
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