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This work has been supported by the Spanish DGICYT under project MTM2009-13848.

Analysis of institutional authors

Criado, RCorresponding AuthorFlores, JAuthorDel Amo, AgAuthorRomance, MAuthor

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Centralities of a network and its line graph: an analytical comparison by means of their irregularity

Publicated to:International Journal Of Computer Mathematics. 91 (2): 304-314 - 2014-02-01 91(2), DOI: 10.1080/00207160.2013.793316

Authors: Criado, Regino; Flores, Julio; Garcia del Amo, Alejandro; Romance, Miguel

Affiliations

Tech Univ Madrid, CTB, Madrid 28223, Spain - Author
Univ Rey Juan Carlos, Dept Appl Math, Madrid 28933, Spain - Author

Abstract

Given a network G, it is known that the Bonacich centrality of the bipartite graph B(G) associated with G can be obtained in terms of the centralities of the line graph L(G) associated with G and the centrality of the network G+gr (whose adjacency matrix is obtained by adding to the adjacency matrix A(G) the diagonal matrix D=b(ij), where b(ii) is the degree of node i in G) and conversely. In this contribution, we use the centrality of G to estimate the centrality of G+gr and show that the error committed is bounded by some measure of the irregularity of G. This estimate gives an analytical comparison of the eigenvector centrality of G with the centrality of L(G) in terms of some irregularity measure of G.

Keywords

Adjacency matricesBipartite graphsComplex networksComputer scienceDegree of nodesDiagonal matricesEigenvector centralitiesGraph theoryIrregularity measureIrregularity of networksLine graphMathematical techniquesNetwork's centrality

Quality index

Bibliometric impact. Analysis of the contribution and dissemination channel

The work has been published in the journal International Journal Of Computer Mathematics due to its progression and the good impact it has achieved in recent years, according to the agency Scopus (SJR), it has become a reference in its field. In the year of publication of the work, 2014, it was in position , thus managing to position itself as a Q2 (Segundo Cuartil), in the category Computer Science Applications. Notably, the journal is positioned en el Cuartil Q3 for the agency WoS (JCR) in the category Mathematics, Applied.

From a relative perspective, and based on the normalized impact indicator calculated from World Citations provided by WoS (ESI, Clarivate), it yields a value for the citation normalization relative to the expected citation rate of: 2.08. This indicates that, compared to works in the same discipline and in the same year of publication, it ranks as a work cited above average. (source consulted: ESI Nov 14, 2024)

This information is reinforced by other indicators of the same type, which, although dynamic over time and dependent on the set of average global citations at the time of their calculation, consistently position the work at some point among the top 50% most cited in its field:

  • Field Citation Ratio (FCR) from Dimensions: 7 (source consulted: Dimensions Jun 2025)

Specifically, and according to different indexing agencies, this work has accumulated citations as of 2025-06-20, the following number of citations:

  • WoS: 27
  • Scopus: 26
  • OpenCitations: 20

Impact and social visibility

From the perspective of influence or social adoption, and based on metrics associated with mentions and interactions provided by agencies specializing in calculating the so-called "Alternative or Social Metrics," we can highlight as of 2025-06-20:

  • The use of this contribution in bookmarks, code forks, additions to favorite lists for recurrent reading, as well as general views, indicates that someone is using the publication as a basis for their current work. This may be a notable indicator of future more formal and academic citations. This claim is supported by the result of the "Capture" indicator, which yields a total of: 10 (PlumX).

Leadership analysis of institutional authors

There is a significant leadership presence as some of the institution’s authors appear as the first or last signer, detailed as follows: First Author (Criado Herrero, Regino) and Last Author (Romance del Río, Miguel).

the author responsible for correspondence tasks has been Criado Herrero, Regino.