 On Decay CentralityThe B.E. Journal of Theoretical Economics, 2019, vol. 19, issue 1, 18 Abstract: We establish a relationship between decay centrality and two widely used measures of centrality, namely degree and closeness. We show that for low values of the decay parameter the nodes with maximum decay centrality also have maximum degree, whereas for high values of the decay parameter they also maximize closeness. For intermediate values, we provide sufficient conditions that allow the comparison of decay centrality of different nodes and we show via numerical simulations that in the vast majority of networks, the nodes with maximum decay centrality are characterized by a threshold on the decay parameter below which they belong to the set of nodes with maximum degree and above which they belong to the set of nodes with maximum closeness. We also propose a simple rule of thumb that ensures a nearly optimal choice with very high probability. Keywords: decay centrality; centrality measures; networks (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:bpj:bejtec:v:19:y:2019:i:1:p:18:n:6 Ordering information: This journal article can be ordered from Access Statistics for this article The B.E. Journal of Theoretical Economics is currently edited by Burkhard C. Schipper More articles in The B.E. Journal of Theoretical Economics from De Gruyter |
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