GDL

Journal from gdlhub / 2019-05-23 14:13:02
Oleh : Natarajan Meghanathan, King Saud University
Dibuat : 2019-05-23, dengan 1 file

Keyword : Decay centrality, Decay parameter, Closeness centrality, Degree centrality, Correlation, Real-world network graphs
Url : http://www.sciencedirect.com/science/article/pii/S131915781730006X
Sumber pengambilan dokumen : WEB

We analyze a suite of 48 real-world networks and compute the decay centrality (DEC) of the vertices for the complete range of values for the decay parameter δ ∊ (0, 1) as well as determine the Pearson's correlation coefficient (PCC) between the DECδ values and degree centrality (DEG) and closeness centrality (CLC). We observe PCC(DECδ, DEG) to decrease with increase in δ and PCC(DECδ, CLC) to decrease with decrease in δ. We define the δ-spacer for a real-world network with respect to the DEG, DEC, CLC correlation as the difference between the maximum and minimum δ values under which we observe a particular level of correlation (r) between the DEC, DEG and DEC, CLC metrics respectively. We show that the PCC(DEG, CLC) values for the real-world networks exhibit a very strongly positive correlation with the δ-spacer values and demonstrate that one could predict the δ-spacer value for a real-world network using the PCC(DEG, CLC) value for that network. We also analyze the impact of various topological measures on the δ-spacer values for the real-world networks.

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