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Edge-betweenness Centrality of Some Classes of Graphs.

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Title: Edge-betweenness Centrality of Some Classes of Graphs.
Authors: Bhat, K. Arathi1 arathi.bhat@manipal.edu
Source: Engineering Letters. Jun2026, Vol. 34 Issue 6, p2317-2323. 7p.
Subjects: Graph theory, Star graphs (Graph theory)
Abstract: Edge-betweenness is a centrality measure defined on the edges of a graph, used to determine the importance of an edge based on the number of shortest paths that pass through it. In this article, we derive expressions for the edge-betweenness centrality measure (EBCM) of edges in various standard graph classes, including windmill graphs, fan graphs, friendship graphs, cycle star graphs, and chain triangular graphs. Additionally, we provide formulas for the EBCM of edges in the middle graphs and subdivision graphs of certain classes of graphs. [ABSTRACT FROM AUTHOR]
Copyright of Engineering Letters is the property of International Association of Engineers (IAENG) and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Edge-betweenness Centrality of Some Classes of Graphs.
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  Data: Edge-betweenness is a centrality measure defined on the edges of a graph, used to determine the importance of an edge based on the number of shortest paths that pass through it. In this article, we derive expressions for the edge-betweenness centrality measure (EBCM) of edges in various standard graph classes, including windmill graphs, fan graphs, friendship graphs, cycle star graphs, and chain triangular graphs. Additionally, we provide formulas for the EBCM of edges in the middle graphs and subdivision graphs of certain classes of graphs. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
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  Group: Ab
  Data: <i>Copyright of Engineering Letters is the property of International Association of Engineers (IAENG) and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Text: English
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        PageCount: 7
        StartPage: 2317
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      – SubjectFull: Graph theory
        Type: general
      – SubjectFull: Star graphs (Graph theory)
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      – TitleFull: Edge-betweenness Centrality of Some Classes of Graphs.
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              Text: Jun2026
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