Bibliographic Details
| 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] |
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| Database: |
Engineering Source |