Compute the betweenness centrality of all four vertices The image depicts a simple graph consisting of four nodes and four edges. **Nodes:**- Node 1 is connected to Node 2.- Node 2 is a central node connected to Nodes 1, 3, and 4.- Node 3 is connected to Node 2 and Node 4.- Node 4 is connected to Node 2 and Node 3.**Edges:**- An edge connects Node 1 and Node 2.- An edge connects Node 2 and Node 3.- An edge connects Node 2 and Node 4.- An edge connects Node 3 and Node 4.This forms a triangular shape among Nodes 2, 3, and 4, with Node 1 extending above Node 2. This simple graph is an example of a connected, undirected graph.

For a vertex x, the pair a,b under consideration are such that i) a≠x,b≠x and ii) there is a…

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Math

Advanced Math

2 3

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Compute the betweenness centrality of all four vertices

The image depicts a simple graph consisting of four nodes and four edges.

**Nodes:**
- Node 1 is connected to Node 2.
- Node 2 is a central node connected to Nodes 1, 3, and 4.
- Node 3 is connected to Node 2 and Node 4.
- Node 4 is connected to Node 2 and Node 3.

**Edges:**
- An edge connects Node 1 and Node 2.
- An edge connects Node 2 and Node 3.
- An edge connects Node 2 and Node 4.
- An edge connects Node 3 and Node 4.

This forms a triangular shape among Nodes 2, 3, and 4, with Node 1 extending above Node 2. This simple graph is an example of a connected, undirected graph.

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