Bonacich Network Measures as Minimum Norm Solutions

Hannu Salonen

No 106, Discussion Papers from Aboa Centre for Economics

Abstract: An undirected connected bimodal network has two Bonacich measures quantifying the centrality of the nodes. We show that the product of Bonacich measures of an undirected bimodal network may be viewed as a product measure that is nearest (w.r.t. Euclidean norm) to the matrix representing the network. A directed bimodal network has four Bonacich measures, two inflow and two outflow measures. Given directed strongly connected bimodal network and its Bonacich inflow (or outflow) measures, there is undirected bimodal network with the same Bonacich measures. So Bonacich measures of directed bimodal network can also be viewed as minimum norm solutions.

Keywords: networks; influence measures; impact factors (search for similar items in EconPapers)
JEL-codes: C71 D85 (search for similar items in EconPapers)
Pages: 9
Date: 2016-01
New Economics Papers: this item is included in nep-net
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Citations: View citations in EconPapers (2)

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