Publication
Title
Unnormalized and normalized forms of gefura measures in directed and undirected networks
Author
Abstract
In some networks nodes belong to predefined groups (e.g., authors belong to institutions). Common network centrality measures do not take this structure into account. Gefura measures are designed as indicators of a node's brokerage role between such groups. They are defined as variants of betweenness centrality and consider to what extent a node belongs to shortest paths between nodes from different groups. In this article we make the following new contributions to their study: (1) We systematically study unnormalized gefura measures and show that, next to the 'structural' normalization that has hitherto been applied, a 'basic' normalization procedure is possible. While the former normalizes at the level of groups, the latter normalizes at the level of nodes. (2) Treating undirected networks as equivalent to symmetric directed networks, we expand the definition of gefura measures to the directed case. (3) It is shown how Brandes' algorithm for betweenness centrality can be adjusted to cover these cases.
Language
English
Source (journal)
Frontiers of Information Technology & Electronic Engineering
Publication
Zhejiang University Press, 2015
ISSN
2095-9184
Volume/pages
16:4(2015), p. 311-320
ISI
000352821000006
Full text (Publisher's DOI)
Full text (open access)
UAntwerpen
Faculty/Department
Research group
Publication type
Subject
Affiliation
Publications with a UAntwerp address
External links
Web of Science
Record
Identification
Creation 27.05.2015
Last edited 08.06.2017
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